How much heat is needed to raise the temperature of 50.0 g of water by 25.0°C
Answers
Answer:10.5 kJ
Explanation:
In order to be able to solve this problem, you will need to know the value of water's specific heat, which is listed as
c=4.18Jg∘C
Now, let's assume that you don't know the equation that allows you to plug in your values and find how much heat would be needed to heat that much water by that many degrees Celsius.
Take a look at the specific heat of water. As you know, a substance's specific heat tells you how much heat is needed in order to increase the temperature of 1 g of that substance by 1∘C.
In water's case, you need to provide 4.18 J of heat per gram of water to increase its temperature by 1∘C.
What if you wanted to increase the temperature of 1 g of water by 2∘C ? You'd need to provide it with
increase by 1∘C4.18 J+increase by 1∘C4.18 J=increase by 2∘C2×4.18 J
To increase the temperature of 1 g of water by n∘C, you'd need to supply it with
increase by 1∘C4.18 J+increase by 1∘C4.18 J+ ... =increase by n∘Cn×4.18 J
Now let's say that you wanted to cause a 1∘C increase in a 2-g sample of water. You'd need to provide it with
for 1 g of water4.18 J+for 1 g of water4.18 J=for 2 g of water2×4.18 J
To cause a 1∘C increase in the temperature of m grams of water, you'd need to supply it with
for 1 g of water4.18 J+for 1 g of water4.18 J+ ,,, =for m g of waterm×4.18 J
This means that in order to increase the temperature of m grams of water by n∘C, you need to provide it with
heat=m×n×specific heat
This will account for increasing the temperature of the first gram of the sample by n∘C, of the the second gram by n∘C, of the third gram by n∘C, and so on until you reach m grams of water.
And there you have it. The equation that describes all this will thus be
q=m⋅c⋅ΔT , where
q - heat absorbed
m - the mass of the sample
c - the specific heat of the substance
ΔT - the change in temperature, defined as final temperature minus initial temperature
In your case, you will have
q=100.0g
⋅4.18Jg∘C⋅(50.0−25.0)∘C
q=10,450 J
Rounded to three sig figs and expressed in kilojoules, the answer will be
10,450J
⋅1 kJ103J=10.5 kJ
To solve this we must be knowing each and every concept related to heat. Therefore, 5,230J of heat is needed to raise the temperature of 50.0 g of water by 25.0°C.
What is heat?Heat is defined in thermodynamics as the kind of energy that crosses the boundary of such a thermodynamic system due to a temperature differential across the barrier.
Heat is not present in a thermodynamic system. Nonetheless, the phrase is frequently employed to refer to a thermal energy stored inside a system as just a component of it's own internal energy, which is represented in the matter's temperature.
q=m×c×ΔT , where
q -absorbed heat
m - mass of the sample
c - specific heat of the substance
ΔT - change in temperature
substituting all the given values in the above equation, we get
q=50.0 ×4.184×25
q=5,230J
Therefore, 5,230J of heat is needed to raise the temperature of 50.0 g of water by 25.0°C.
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Related Questions
2. Determine the direction of the force acting on each particle below. Remember to use your right hand rule.
Answers
The force acting on a particle can be determined using the right-hand rule where the thumb points to the direction of the current and the fingers show the direction of the force.
The direction of the force acting on each particle can be determined using the right-hand rule. This rule involves pointing the thumb in the direction of the current and the fingers show the direction of the force. In the first image, the direction of the force acting on the particle can be determined by pointing the thumb to the right, then the fingers will curl upward indicating the direction of the force is upward.
In the second image, the direction of the force acting on the particle can be determined by pointing the thumb upward, then the fingers will curl towards the left indicating the direction of the force is to the left. In the third image, the direction of the force acting on the particle can be determined by pointing the thumb downward, then the fingers will curl towards the left indicating the direction of the force is to the left.
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A shopper in Whole Foods pushes their cart with a force of 40 N directed at an angle of
30 degrees downward form the horizontal. Find the work done by the shopper on the
cart as he moves down a 15 m aisle to the tofu section.
If the mass of the cart (24kg), from problem 1, and we neglect friction, how fast will the cart
be moving when it reaches the tofu section if it started from rest?
The shopper brings the cart to rest is 2.7 s when he reaches the tofu. What power
does he exert in stopping the cart?
You take the bus with your bike to the top of Twin Peaks in San Francisco. You are
facing a long descent: the top of Twin Peaks is 600 m higher than its base. The
combined mass of you and your bicycle is 85 kg. How much gravitational potential
energy do you have before your descent?
• On an unknown airless planet an astronaut drops a 4 kg ball from a 60 m ledge. The
mass hits the bottom with a speed of 12 m/s. What is the acceleration of gravity g on
this planet?
You descend. If all that potential energy is converted to kinetic energy, what will your
speed be at the bottom?
The planet has a twin in an alternate universe with exactly the same acceleration of
gravity. The difference is that this planet has an atmosphere. In this case, when
dropped from a ledge with the same height, the 4 kg ball hits bottom at the speed of 9
m/s. How much energy is lost to air resistance during the fall?
A 1500 kg car starts at rest and speeds up to 3 m/s with a constant acceleration. If the
car reaches its final speed in 1.2 s, what is its acceleration?
•
How far does the car travel in that time?
• What is the car's gain in kinetic energy?
• What power is exerted by the engine?
Answers
Answer:
Work done by the shopper on the cart: The force of 40 N at an angle of 30 degrees downward from the horizontal can be resolved into its horizontal and vertical components. The horizontal component of the force is:F_horizontal = F * cos(theta) = 40 N * cos(30) = 34.64 N
The work done by the shopper on the cart is equal to the force applied multiplied by the distance moved, multiplied by the cosine of the angle between the force and the displacement. In this case, the displacement is 15 m, and the angle between the force and the displacement is 30 degrees. Therefore:Work = F * d * cos(theta) = 34.64 N * 15 m * cos(30) = 448.5 J
Speed of the cart at the tofu section: The initial potential energy of the cart and shopper is equal to their combined mass (85 kg) multiplied by the acceleration due to gravity (9.81 m/s^2) multiplied by the height of Twin Peaks (600 m).
Therefore: Potential energy = m * g * h = 85 kg * 9.81 m/s^2 * 600 m = 498,690 J
Since the shopper neglects friction, all of the potential energy is converted into kinetic energy at the bottom of the hill. The kinetic energy of the cart and shopper can be found using the formula:
Kinetic energy = 0.5 * m * v^2
where m is the mass of the cart and shopper, and v is their speed.
Therefore:Kinetic energy = 0.5 * 85 kg * v^2 Since the potential and kinetic energies are equal, we can set them equal to each other and solve for the speed v: Potential energy = Kinetic energym * g * h = 0.5 * m * v^2v = sqrt(2 * g * h) = sqrt(2 * 9.81 m/s^2 * 600 m) = 109.43 m/s
Power exerted by the shopper in stopping the cart:The shopper brings the cart to rest over a distance of 15 m in a time of 2.7 s. The average force exerted by the shopper on the cart can be found using Newton's second law: F = m * a = m * (v_f - v_i) / twhere m is the mass of the cart, v_i is the initial speed of the cart (which is zero), v_f is the final speed of the cart, and t is the time taken to stop the cart. Solving for F gives:F = m * (v_f / t)The work done by the shopper in stopping the cart is equal to the force applied multiplied by the distance moved, which is 15 m. Therefore:Work = F * d = m * (v_f / t) * d = 24 kg * (0 - 0) / 2.7 s * 15 m = 0 JSince no work is done in bringing the cart to rest, the power exerted by the shopper is zero.Acceleration due to gravity on the unknown planet:The final speed of the 4 kg ball is 12 m/s, and it falls a distance of 60 m. The initial speed is zero, so the final velocity is equal to the velocity acquired due to gravity. The final velocity can be found using the formula:v_f^2 = v_i^2 + 2 * g * hwhere v_i is the initial velocity (which is zero), h is the height fallen, and g is the acceleration due to gravity.
When Maria rubbed her solid graphite pencil against paper, it easily left a clear streak on the paper. Which model could represent graphite?
Answers
Answer:
B
Explanation:
:p
Option B is the correct answer.
Graphite has a layered structure, every layered structure has rings which consists of six carbon atom.
What is Graphite and what are its characteristics?Graphite can be also known as black lead. As it can be structured with hexagonal shape it was also made as octahedral and tetrahedral which is known to be as diamond. Graphite is formed by carbonaceous compound, which can be solidified as magmatic carbon. Graphite can be taken from several ancient rocks, marbles, quartzite, under the soil, etc.. The graphite can be found easily by seeing the honeycomb shape, hexagonal structure, a molecule with six carbon atoms. These were also used in pencil leads, batteries, nuclear reactors, polishes, etc..
So, when Maria rubbed her solid graphite pencil against paper, it easily left a clear streak on the paper because of the atom presence and it hexagonal honeycomb structure.
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A cup of coffee with cooling constant k = -0.09 is placed in a room temperature of 18°C. If the coffee is served at 93 °C, how long will it take to reach a drinking temperature of 73 °C?
Answers
The time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
The cooling law is given by:
$$\frac{dQ}{dt}=-k(T-T_0)$$
where Q is the heat in the object, t is the time taken, T is the temperature of the object at time t, T0 is the temperature of the environment and k is a constant known as the cooling constant.
We need to find the time it takes for the coffee to reach a drinking temperature of 73°C given that its initial temperature is 93°C.
Therefore, we need to find the time it takes for the coffee to cool down from 93°C to 73°C when placed in a room temperature of 18°C.
Let’s assume that the heat energy that is lost by the coffee is equal to the heat energy gained by the environment. We can express this as:
dQ = - dQ where dQ is the heat energy gained by the environment.
We can substitute dQ with C(T-T0) where C is the specific heat capacity of the object.
We can rearrange the equation as follows:
$$-\frac{dQ}{dt}=k(T-T_0)$$
$$-\frac{d}{dt}C(T-T_0)=k(T-T_0)$$
$$\frac{d}{dt}T=-k(T-T_0)$$
The differential equation above can be solved using separation of variables as follows:
$$\frac{d}{dt}\ln(T-T_0)=-k$$
$$\ln(T-T_0)=-kt+c_1$$
$$T-T_0=e^{-kt+c_1}$$
$$T=T_0+Ce^{-kt}$$
where C = e^(c1).
We can now use the values given to find the specific value of C which is the temperature difference when t=0, that is, the temperature difference between the initial temperature of the coffee and the room temperature.
$$T=T_0+Ce^{-kt}$$
$$73=18+C\cdot e^{-0.09t}$$
$$55=C\cdot e^{-0.09t}$$
$$C=55e^{0.09t}$$
$$T=18+55e^{0.09t}$$
We can now solve for the value of t when T=93 as follows:
$$93=18+55e^{0.09t}$$
$$e^{0.09t}=\frac{93-18}{55}$$
$$e^{0.09t}=1.3636$$
$$t=\frac{\ln(1.3636)}{0.09}$$
Using a calculator, we can find that the time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
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A net force accelerates a 60 kilogram cart at a rate of 0.5 m/s². What is the magnitude of the force?
Answers
Answer:
13
Explanation:
34
In the paralleling technique, the central ray of the x-ray beam must be _____ to the film sensor and the long axis of the tooth.
Answers
The film sensor and the long axis of the tooth must be aligned perpendicular to the central ray of the x-ray beam when using the paralleling approach.
To find the answer, we need to know above the paralleling technique in the dental x-ray.
What is paralleling technique?The paralleling technique is the most dependable method for capturing periapical x-rays because it produces high-quality images with little distortion. The central x-ray beam should be pointed perpendicular to the long axis of the tooth in issue, and the film should be positioned parallel to it.The paralleling technique is the most dependable method for capturing periapical x-rays because it produces high-quality images with little distortion.The central x-ray beam should be pointed perpendicular to the long axis of the tooth in issue, and the film should be positioned parallel to it.When preparing for an x-ray, it is imperative to keep in mind the root anatomy.The maxillary occlusal plane of the patient should also be parallel to the ground.Thus, we can conclude that, the film sensor and the long axis of the tooth must be aligned perpendicular to the central ray of the x-ray beam when using the paralleling approach.
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a 24.3 kg mass and a 45.8 kg mass are separated by a center-to-center distance of 4.6 m. measuring from the center of the 24.3 kg mass, determine the center of mass of the system.
Answers
Determine the center of mass of the system is 3.0 kg.
What is mass ?
A body's mass serves as a proxy for its volume of matter. The mass unit established by SI is the kilogramme (kg). A body's mass never varies, it should be mentioned. only under unusual, exceptional circumstances where a considerable amount of energy is provided to or taken away from a body.
What is kilogram ?
The SI's (International System of Units) unit of mass, the kilogramme (sometimes spelled kilogramme), has the unit symbol kg. In addition to being a measurement unit widely utilised in research, engineering, and commerce globally, the word "kilo" is commonly employed in everyday speech. "One thousand grammes" is meant by it.
a. Mass of the bear cub, m1 = 40 kg
Mass of the log, m2 = 600 kg
The speed with which the bear leaps, v1 = 4 m/s
Let v2 be the speed of the log.
Using law of conservation of momentum, m1v1 = m2v2
40 x 4 = 600 x v2
Speed of the log, v2 = 0.27 m/s
0.27 m/s
b. A cannonball explodes in mid-air into several fragments. According to law of conservation of momentum, total momentum of all the fragments is equal to the momentum of the cannonball just before explosion.
c. Mass, m1 = 24.3 kg
Mass, m2 = 45.8 kg
Center to center distance, r2 = 4.6 m
Distance of the center of mass from the center of 24.3 kg is R = m1r1+m2r2m1+m2
R = 24.3 x 0+45.8 x 4.624.3+45.8
= 3.0 m
d. Using Newton’s 2nd law of motion, force F = m(v- u)t
Ft = m(v-u)
But, Ft is the momentum, and m(v-u) is the change in momentum.
Hence, the impulse is equal to a change in momentum.
Impulse is: I
Therefore, determine the center of mass of the system is 3.0 kg.
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What is the centripetal acceleration acting on a 19 kg ball if it is being spun around by a tension force of 125 N?
Answers
Answer:
Explanation:
The centripetal acceleration:
aₙ = F /m = 125 /19 ≈ 6.6 m/s²
a(n) ______ is a tentative prediction about how empirical events or attributes will be related or patterned.
Answers
A hypothesis is a tentative prediction wave about how empirical events or attributes will be related or patterned. However, they are not proven to be true or false, but rather supported or rejected based on empirical evidence.
A hypothesis is a statement that proposes a relationship between two or more variables and is testable through empirical research. It is an educated guess that is made based on prior knowledge, observation, and theories. Hypotheses are important in the scientific method as they guide the research process and provide a framework for collecting and analyzing data.
A hypothesis is an educated guess based on existing knowledge and observations. It serves as a starting point for further investigation and testing through experimentation or data analysis. By stating a hypothesis, researchers can make predictions and design experiments to test the validity of their hypothesis, ultimately contributing to the development of scientific knowledge.
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What points has the same angle as theta?
Answers
Answer:
A and C
Explanation:
The easiest way to solve this is by drawing a new triangle, one where one leg is clearly longer than the other. This way, it is easy to see which angles match.
Or, using geometry, we can show that C = θ since they are alternate interior angles. Since C is complementary to the angle between the rays, and A is also complementary to the angle between the rays, then A = C, so A = θ.
4. The work output is 500 joules for a machine that is 12.5 percent efficient. The work input is
joules. 0
(1 Point)
A.4000
B.1.000
C.2,000
D.12.500
Answers
Answer:
4000 J
Explanation:
x * .125 = 500
x = work input = 500 / .125 = 4000 J
A 60-kg swimmer suddenly dives horizontally from a 150-kg raft with a speed of 1. 5 m/s. The raft is initially at rest. What is the speed of the raft immediately after the diver jumps if the water has negligible effect on the raft?
Answers
The speed of the raft immediately after the diver jumps is 0.6 m/s.
After the swimmer jumps, the momentum of the system is still conserved, but it is no longer zero, since the swimmer is now moving. We can use the equation:
(m1v1 + m2v2)before = (m1v1 + m2v2)after
We want to solve for v2, velocity of the raft immediately after the jump.
Before jump, velocity of raft is zero, so we can simplify equation to:
m1v1 = m2v2
Substituting in values we know, we get:
60 kg * 1.5 m/s = 150 kg * v2
Simplifying, we get:
v2 = (60 kg * 1.5 m/s) / 150 kg = 0.6 m/s
So the speed of the raft immediately after the diver jumps is 0.6 m/s.
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An overhead East-West transmission line carries a current of 250. A in each of two parallel wires. The two wires are separated by 1.20 m, the northern wire carries current to the east, and the southern wire carries current to the west. (a) Please find the magnitude and the direction of the magnetic field at a point midway between the two wires. (Ignore the carth's magnetic field.) (b) Please find the magnitude and the direction of the magnetic field at a point that is 2.00 m below the point of part (a). (lgnore the earth's magnetic field.)
Answers
Answer: (a) The magnitude of the magnetic field at a point midway between the two wires is 1.20 × 10⁻⁵ T and the direction of the magnetic field is out of the page.
(b) The magnitude of the magnetic field at a point that is 2.00 m below the point of part (a) is 2.93 × 10⁻⁷ T and the direction of the magnetic field is out of the page.
(a) The magnitude of the magnetic field at a point midway between the two wires is 1.20 × 10⁻⁵ T and the direction of the magnetic field is out of the page. Between two parallel current-carrying wires, the magnetic field has a direction that is perpendicular to both the direction of current flow and the direction that connects the two wires.
According to the right-hand rule, we can figure out the direction of the magnetic field. The right-hand rule says that if you point your thumb in the direction of the current and curl your fingers, your fingers point in the direction of the magnetic field. As a result, the northern wire's magnetic field is directed up, while the southern wire's magnetic field is directed down. Since the two magnetic fields have the same magnitude, they cancel each other out in the horizontal direction.
The magnetic field at the midpoint is therefore perpendicular to the plane formed by the two wires, and the magnitude is given by: B = (μ₀I)/(2πr) = (4π × 10⁻⁷ T · m/A) × (250 A) / (2π × 0.600 m) = 1.20 × 10⁻⁵ T.
The magnetic field is out of the page because the two magnetic fields are in opposite directions and cancel out in the horizontal direction.
(b) The magnitude of the magnetic field at a point that is 2.00 m below the point of part (a) is 2.93 × 10⁻⁷ T and the direction of the magnetic field is out of the page.
The magnetic field at a point that is 2.00 m below the midpoint is required. The magnetic field is inversely proportional to the square of the distance from the wires.
Therefore, the magnetic field at this point is given by: B = (μ₀I)/(2πr) = (4π × 10⁻⁷ T · m/A) × (250 A) / (2π × √(1.20² + 2²) m) = 2.93 × 10⁻⁷ T. The magnetic field at this point is out of the page since the wires are so far apart that they can be treated as two separate current sources. The field has the same magnitude as the field created by a single wire carrying a current of 250 A and located 1.20 m away.
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Question 46 X Cardiac output = [1] (beats per minute) x [2] (how much blood leaves the heart)
Answers
X Cardiac output is equal to [1] beats per minute multiplied by [2] how much blood leaves the heart.
Cardiac output refers to the volume of blood that the heart pumps per minute. It is a product of the heart rate and the stroke volume. Cardiac Output Cardiac output can be calculated by multiplying the heart rate by the stroke volume. The stroke volume refers to the amount of blood that leaves the heart during each contraction.
Therefore, the formula for calculating cardiac output is:
CO = HR x SV
Where:
CO = Cardiac Output
HR = Heart Rate
SV = Stroke Volume.
X Cardiac output = [1] (beats per minute) x [2] (how much blood leaves the heart)
Therefore, the formula for calculating cardiac output would be:
X Cardiac output = HR x SV
We can rearrange the formula as:
SV = X Cardiac output / HR.
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why does mass decrease when acceleration increases?
Answers
Answer:
Since the mass does not change as the acceleration increases, we can say that force is equal to acceleration. Therefore, if you double the force you double the acceleration. If you increase the mass at a given force the rate of acceleration slows. Therefore, mass is inversely proportional to acceleration.
For a stirred tank that is cooled by a water coil, what is the consequences of neglecting coll dynamics? a • Thermal capacitance of the collis neglected with respect to the tank wall and the tank liquid • Energy balance is done only on the tank wall Ob • Thermal capacitance of the collis neglected with respect to the tank wall and the tank liquid • Energy balance is done only on the tank liquid oc • Thermal capacitance of the collis neglected with respect to the tank wall and the tank liquid
Answers
The thermal capacitance of the coil is neglected with respect to the tank wall and the tank liquid. Energy balance is done only on the tank liquid. Option C is the correct answer.
The consequence of neglecting the thermal dynamics of the cooling coil in a stirred tank can vary depending on the specific situation and the magnitude of the neglected effects. However, in general, neglecting the thermal capacitance of the cooling coil in relation to the tank wall and the tank liquid can have the following consequences:
Inaccurate temperature predictions: Neglecting the thermal capacitance of the cooling coil means that the cooling effect provided by the coil will not be properly accounted for in the energy balance of the system. This can lead to inaccurate temperature predictions within the tank. The coil may cool the tank contents faster or slower than anticipated, leading to deviations from the desired temperature profile.Inefficient cooling: Neglecting the thermal capacitance of the coil implies that the cooling coil is assumed to have an instantaneous cooling effect, without considering its own thermal inertia. This can result in inefficient cooling as the coil may not be able to transfer heat effectively to the cooling water due to the lack of thermal capacitance consideration. Consequently, the cooling process may be slower or less efficient than expected.Risk of equipment failure: If the cooling coil is subjected to rapid temperature changes due to neglecting its thermal capacitance, it can potentially lead to thermal stress and mechanical failure of the coil. The coil may not be designed to handle abrupt temperature variations, which can result in damage or reduced lifespan of the equipment.Energy consumption discrepancies: Neglecting the thermal capacitance of the coil can affect the overall energy balance calculations for the system. The energy required to operate the cooling coil may be underestimated, leading to discrepancies in energy consumption estimations. This can have implications for energy management and cost considerations.Learn more about capacitance at
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what are the two elements used most often to make semiconductors?
Answers
The two elements most commonly used to make semiconductors are silicon and germanium.
Answer: Silicon and Germanium
Explanation: They are used as such because
1. More stability at high temperature
2. Reverse current is low
3. Easily available
A bicycle gear wheel is a disc with 50 ‘teeth' equally spaced around its edge, as shown. The gear wheel is rotated 10 times each second. A springy strip of metal is vibrated by the rotating ‘teeth'. The metal strip produces a sound of frequency that is equal to the frequency of vibration of the strip
Answers
Answer:
0.66mExplanation:
The question is not complete, here is the complete question, also see attached the image.
"A bicycle gear wheel is a disc with 50 ‘teeth’ equally spaced around its edge, as shown. The gear wheel is rotated 10 times each second. A springy strip of metal is vibrated by the rotating ‘teeth’. The metal strip produces a sound of frequency that is equal to the frequency of vibration of the strip. The speed of sound in air is 330ms–1. What is the wavelength of the emitted sound?"
given data
number of teeth= 50
we are told that the gear is rotated 10 times in 1 sec,
hence the frequency of the rotation past the strip is
=50*10
=500Hz
speed of sound= 330m/s
we know that
\(v_w = f \Lambda\)-----------1
where Vw is the speed of sound,
f is its frequency, and
λ is its wavelength.
λ=Vw/f
λ=330/500
λ=0.66m
Radio waves are a type of______
wave and can travel through space whereas sound waves cannot travel through space because they need to travel through _____
Answers
Answer:
I already know the first one is electromagnetic but I don't know the second one sorry
Explanation:
in some instances, light behaves like waves, and in others, like discrete particles. True or Flase
Answers
True. Light can exhibit both wave-like and particle-like behavior depending on the situation. This is known as the wave-particle duality of light.
In certain experiments, such as the double-slit experiment, light behaves like a wave and displays interference patterns. However, in other experiments, such as the photoelectric effect, light behaves like discrete particles called photons. The behavior of light depends on the specific experimental setup and conditions.
The main answer to your question is: True. In some instances, light behaves like waves, and in others, like discrete particles. This dual behavior of light is known as wave-particle duality. When light interacts with matter or undergoes diffraction and interference, it exhibits wave-like behavior. However, when light interacts with certain materials or during the photoelectric effect, it behaves as discrete particles called photons.
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3. You are flying 2586 miles from San Francisco to New York. An hour into the flight, you are 600
miles from
San Francisco. What is your speed in
m/s?
Answers
Answer:
268.22 m/s
Explanation:
An hour into the flight, you are 600 miles from San Francisco.
This sentence says that speed is 600 mi/h.
Now we need to convert it into m/s.
1 mi = 1609.34 m
1 h = 60 min = 60 min *60 s/1min = 3600 s
600 mi/h * 1609.34 m/1 mi * 1h/ 3600s= 600*1609.34/3600 m/s= =268.22 m/s
If you are flying 2586 miles from San Francisco to New York. An hour into the flight, you are 600 miles from San Francisco then your speed would have been 600 miles/hour.
What is speed?The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object.
As given in the problem, If you are flying 2586 miles from San Francisco to New York. An hour into the flight, you are 600 miles from San Francisco then we have to find your speed,
Total distance traveled from San Francisco to New York in one hor= 600 miles
speed of the flying plane = distance traveled in one hour time period
= 600 miles/hour
Thus, your speed would have been 600 miles/hour.
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Inducing magnetic properties on a substance means you are
aligning the electrons to spin in the opposite direction
aligning the electrons to spin in the same direction
pairing up electrons to spin together
separating electrons to move freely in the substance
Answers
Inducing magnetic properties on a substance means you are aligning the electrons to spin in the same direction, 2nd option.
How are magnetic properties induced?The magnetic intensity is the magnetic field produced solely by the electric current flowing in a solenoid. The magnetic property of a material is induced by an external magnetic field. When a material is exposed to an external magnetic field, it becomes magnetized.
A strong magnetic field is produced when the majority of electrons in an atom spin in the same direction. The magnetic field's direction is determined by the direction of electron spin.
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A 20 kg mass is connected by a 100 meter cable to a 1000 kg car that is at rest, with its brakes off, about 100 meters from the edge of the cliff. The weight is then hung over a pulley at the edge of the cliff and released.
a. What is the acceleration of the car toward the cliff?
b. How long will it take the car to reach the cliff?
c. How fast will the car be traveling the moment it goes over the cliff?
Answers
The acceleration of the car toward the cliff is 19.81m/s. Other part as well as the explanation of the question is discussed below.
What is the process of finding speed of the car?To find the speed at which the car leaves the cliff, first we need to know how long it took to reach the ground. We do this with the equation Where the vertical position at a time , since we are looking for the moment when the car reaches the gound is the initial vertical position, in this case the height of the cliff is gravitational acceleration: .
So replacing the known values and since we need the time, we clear for it At time the car reaches the ground, according to the problem at a horizontal distance from the base of the cliff of 100 to find the velocity we use where is the horizontal distance at time (in this case and ), is the initial horizontal distance, we define the cliff as zero in horizontal distance so , and is the velocity of the car when it rolled of the cliff.
Therefore, The initial velocity (when it rolled of the cliff) is 19.81m/s.
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what is the de broglie wavelength (in meters) of a 148 g baseball thrown at a velocity of 35.1 meters per second?
Answers
The de-Broglie wavelength of the baseball is 1.27×10⁻²⁵nm
λ=h/m
h is the Planck Constant =6.63×10⁻³⁴Js
m = mass = 148×10⁻³
=0.148kg
v= velocity =35.1m/s
λ=6.63×10⁻³⁴/0.148×35.1
λ=1.27×10⁻³⁴m
λ=1.27×10⁻²⁵nm
When learning about quantum mechanics, the de Broglie wavelength is a crucial idea. De Broglie wavelength is the wavelength that is connected to an object in relation to its momentum and mass. Typically, a particle's force and de Broglie wavelength are inversely related.
Some people believe that matter has both a wave- and a particle-like nature. De Broglie wavelength, so named after the discoverer Louis de Broglie, are the characteristics of a physical object that fluctuate in time or space while acting like waves. Matter waves are another name for it. It is strikingly reminiscent of the experimentally demonstrated dual nature of light, which exhibits both particle and wave behavior.
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select the income elasticity that corresponds to a normal good. income elasticity is positive and less than 1. income elasticity is -1. income elasticity is negative and less than -1. income elasticity is zero.
Answers
A normal good has an Income Elasticity > 0
What is Income Elasticity ?A measure of the economic responsiveness of the quantity of an item or service demanded to a change in income is called income elasticity of demand. The percentage change in quantity demanded divided by the percentage change in income is the formula for determining the income elasticity of demand.
The income elasticity of demand is categorised into three groups based on numerical value as follows:
Demand elasticity of income that is favorable
demand elasticity of income that is negative
There is no demand elasticity of income.
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The income elasticity of demand measures how sensitive the quantity demanded of a good is to changes in income. It helps us understand whether a good is a normal good, inferior good, or luxury good.
To calculate the income elasticity of demand, we can use the following formula:
Income Elasticity of Demand = (Percentage change in quantity demanded) / (Percentage change in income)
In this case, the percentage change in income is given as 23 percent, and the percentage change in consumption of farm goods is 0.4 percent.
Using the formula, we can calculate the income elasticity of demand for farm goods:
Income Elasticity of Demand = (0.4 percent) / (23 percent)
Simplifying this expression, we have:
Income Elasticity of Demand = 0.4 / 23
This yields a value of approximately 0.017, or 0.017%.
Since the income elasticity of demand is a positive but small value (less than 1), we can conclude that farm goods are a necessity or a normal good. This means that as consumers' incomes increase, the quantity demanded of farm goods increases, but at a relatively smaller rate compared to the income change.
It's important to note that the income elasticity of demand can also be negative. A negative value would indicate that the good is an inferior good, meaning that as consumers' incomes increase, the quantity demanded of the good decreases. However, in this case, the income elasticity of demand is positive, indicating that farm goods are a normal good.
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Ram and Hari both are good Swimmer and can Swim with same speed in still water, they set off across the river at the same time. Ram moves straight across and Hari is pulled downstream by the current somewhat. Hari head upstream at angle so as to arrive at a point directly opposite to straight point. Who will cross the river first?
Comment.
Answers
Hari, who compensates for the downstream drift by swimming at an angle upstream, is cross the river first.
Based on the given information, Hari is being pulled downstream by the current while swimming at the same speed as Ram in still water. However, Hari compensates for the downstream drift by heading upstream at an angle. This strategy allows Hari to reach a point directly opposite the starting point on the other side of the river.
In this scenario, Hari is likely to cross the river first. By swimming at an angle against the current, Hari can effectively reduce the impact of the downstream drift and make progress towards the opposite bank. Meanwhile, Ram, who is swimming straight across the river, will be solely dependent on his speed and will be affected by the full force of the current.
Hari's strategy enables him to overcome the downstream drift caused by the current and reach the destination more quickly. While Ram is moving directly across, he has no means to counteract the current and is at a disadvantage in terms of reaching the opposite bank. Therefore, Hari, who compensates for the downstream drift by swimming at an angle upstream, is cross the river first.
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a heat engine accepts heat at a rate of 14 mw and rejects heat to a sink at 6 mw. what is the actual thermal efficiency of the heat engine?
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A heat engine is a device that transforms thermal energy into mechanical work. In order to find the actual thermal efficiency of a heat engine, we use the formula: Thermal efficiency = (Work output / Heat input) * 100We are given that the heat engine accepts heat at a rate of 14 MW and rejects heat to a sink at 6 MW.
The heat input is 14 MW and the heat output is 6 MW. The work output is the difference between the heat input and the heat output. Hence, the work output is:
Work output = Heat input - Heat output
= 14 MW - 6 MW
= 8 MW
The actual thermal efficiency of the heat engine is:
Thermal efficiency = (Work output / Heat input) * 100
= (8 MW / 14 MW) * 100
= 57.14 %
We only need to calculate and report the actual thermal efficiency of the heat engine, our answer is 57.14%.
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A 90 kg astronaut Travis is stranded in space at a point 12 m from his spaceship. In order to get back to his ship, Travis throws a 0.50 kg piece of equipment so that it moves at a speed of 4 m/ s directly away from the spaceship towards the left . How long will it take him to reach the ship? *hint find his speed after the collision and consider it a constant speed all the way back to his spaceship*
Answers
Answer:
Explanation:
This is a recoil problem, which is just another application of the Law of Momentum Conservation. The equation for us is:
\([m_av_a+m_ev_e]_b=[m_av_a+m_ev_e]_a\) which, in words, is
The momentum of the astronaut plus the momentum of the piece of equipment before the equipment is thrown has to be equal to the momentum of all that same stuff after the equipment is thrown. Filling in:
\([(90.0)(0)+(.50)(0)]_b=[(90.0)(v)+(.50)(-4.0)]_a\)
Obviously, on the left side of the equation, nothing is moving so the whole left side equals 0. Doing the math on the right and paying specific attention to the sig fig's here (notice, I added a 0 after the 4 in the velocity value so our sig fig's are 2 instead of just 1. 1 is useless in most applications).
0 = 90.0v - 2.0 and
2.0 = 90.0v so
v = .022 m/s This is the rate at which he is moving TOWARDS the ship (negative was moving away from the ship, as indicated by the - in the problem). Now we can use the d = rt equation to find out how long this process will take him if he wants to reach his ship before he dies.
12 = .022t and
t = 550 seconds, which is the same thing as 9.2 minutes
The best way to counteract the effects of inertia is to? a. wear your seatbelt b. slam on your brakes c. suddenly swerve your vehicle d. dive across the front seat drivered
Answers
The best way to counteract the effects of inertia is to wear your seat belt and is therefore denoted as option A in this type of scenario.
What is Inertia?This is defined as a property of matter that causes it to resist changes in the velocity in various bodies.This is based on various factors which affect the body being talked about.
A seat belt which is seen in vehicles will counteract the effects of inertia which is why it helps to prevent impacts during collisions.
This is therefore the reason why it is referred to as a safety device as it helps reduce the risk of injuries when driving.
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Complete the sentence with the word "element" or "compound."
O is a(n) ____
and H2O2 is a(n) ____
.
Answers
Answer:
"element"= There are four basic sentence patterns based on sentence construction element
Answer:
1st one. Element
2nd one. Compound
Explanation: