(D) virtual and larger than the object.
Explanation
Concave mirror is spherical mirror which has its reflecting surface bulging inwards
. The focal length of a mirror is the distance between the pole of the mirror and a point where all the reflected rays merge,The focal point and the centre of curvature of the concave mirror lie in front of the mirror
so,if an object is located between the focal point and a concave mirror we can use the ray diagram to check this,
.
, the image produced will be virtual , and longer than the object
so, the answer is
(D) virtual and larger than the object.
I hope this helps you
If the 100 g mass is replaced by a 200 g mass, which variables in Tnet = la change, and which
remains constant? Justify your answer.
The moment of inertia (I) will changes and net torque (Tnet) will also change, while the angular acceleration (a) remains constant.
What is the changed variable in the equation?The formula for net torque acting on an object is given as;
T(net) = Ia
where;
a is the angular accelerationI is the moment of inertiaT(net) is the net torqueThe moment of inertia of an object is given as;
I ∝ MR²
where;
M is the massR is the radius of the objectSo mass, M changes, the moment of inertia (I) changes and net torque will also change, while the angular acceleration remains constant.
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Gas and plasma are phases of matter, yet gas runs a car and plasma is part of your blood. Compare and contrast these terms and offer an explanation for the use of similar names.
Plasma lacks a precise form or volume, much like gas. It completes the empty space. Even though it is in the gaseous form, there is a difference because some of the particles are plasma-ionized.
High-energy particles are free to move around and fill the area they inhabit in the state of matter known as gas.
Neutral atoms or molecules often make up gaseous substances like air.
The ionised gas known as plasma, on the other hand, contains both positively and negatively charged particles.
It develops when a gas is subjected to an intense electric field or heated to incredibly high temperatures.
Plasma is a substance that may be found in stars, lightning, and fluorescent lights. It is also an essential component of many modern technology, like plasma TVs and fusion reactors.
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10- A block attached to a spring oscillates in simple harmonic motion along the x axis. The
limits of its motion are x = 10cm and x = 50 cm and it goes from one of these extremes to
the other in 0.25 s. Its amplitude and frequency are:
A 40 cm. 2Hz
B. 20 cm, 4Hz
C. 40cm, 2Hz
D. 25 cm, 4Hz
E. 20 cm, 2Hz
Answer:
Choice E.
Amplitude: \(20\; {\rm cm}\).
Frequency: \(2\; {\rm Hz}\).
Explanation:
The amplitude of a simple harmonic motion (SHM) is the maximum displacement from equilibrium.
In this question, the equilibrium is in the center of the two extremes. With one extreme at \(x = 10\; {\rm cm}\) and the other at \(x = 50\; {\rm cm}\), the center will be at \((1/2)\, (10 + 50)\; {\rm cm} = 30\; {\rm cm}\).
The maximum displacement will be \((50\; {\rm cm} - 30\; {\rm cm}) = 20\; {\rm cm}\) (or equivalently, \((30\; {\rm cm} - 10\; {\rm cm}) = 20\; {\rm cm}\).
Frequency measures the number of cycles completed in unit time (e.g., one second.) In one full cycle of an SHM, the oscillator will travel from one extreme to another and then back to the original extreme. In this question:
Travel from one extreme to the other: \(0.25\; {\rm s}\).Travel from the other extreme back to the original one: \(0.25\; {\rm s}\).In other words, one full cycle of this SHM will take \(0.25\; {\rm s} + 0.25\; {\rm s} = 0.50\; {\rm s}\). The period of this SHM will be \(0.50\; {\rm s}\). Hence, the frequency of this SHM will be:
\(\begin{aligned} (\text{frequency}) &= \frac{1}{(\text{period})} \\ &= \frac{1}{0.50\; {\rm s}} \\ &= 2\; {\rm Hz}\end{aligned}\).
Post First
Answer the following Critical Thinking Question. You may respond to the answers of the other students after you have answered the question. This homework assignment is worth 5 points.
Answer the following question:
Photons produced within the core of the Sun take about 170,000 years to reach the surface of the Sun. However, neutrinos take approximately only three minutes to complete the same trip. Why this is so?
The reason why photons take about 170,000 years to reach the surface of the Sun while neutrinos take only approximately three minutes for the same trip lies in the interaction of these particles with matter.
Photons are electromagnetic radiation and they interact strongly with the charged particles present in the dense plasma of the Sun's core. These interactions cause frequent scattering and absorption, resulting in a random walk-like path for the photons. As a result, they experience numerous collisions and absorptions, which significantly slows down their journey to the Sun's surface. The process is often referred to as "radiative diffusion."
On the other hand, neutrinos are electrically neutral particles that interact only very weakly with matter. This weak interaction allows neutrinos to pass through the dense plasma of the Sun's core almost unimpeded. Neutrinos can traverse matter, including the Sun, without being significantly absorbed or scattered, making their journey from the core to the surface much faster than photons.
The differing interaction strengths of photons and neutrinos with matter explain why photons take much longer to reach the Sun's surface compared to neutrinos. This phenomenon highlights the unique properties and behavior of these fundamental particles in the realm of astrophysics and particle physics.
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Why is there always plastic coverings around wires? Explain using terms like insulators and conductors.
Explanation:
as there is plastic covering around the wires because at the copper when we cover with like a insulators that can flow current are called insulators for when we when we touch the wire then we get current that's conductor orchid covering of fire so we can't be get a current
A figure skater glides along a circular path of radius 3.93 m. (a) If she coasts around one half of the circle, find the magnitude of the displacement vector. (b) If she coasts around one half of the circle, find what distance she skated. (c) What is the magnitude of the displacement if she skates all the way around the circle?
The magnitude of the displacement vector refers to the length or amount of the displacement vector. Displacement is the change in position of an object. Displacement is a vector quantity, which means it has both magnitude and direction. In this question, a figure skater is gliding along a circular path of radius 3.93 m.
If she coasts around one half of the circle, we have to find the magnitude of the displacement vector. The figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, then her final and initial position is on the same point. Therefore, the magnitude of the displacement vector is zero. Distance Skated Distance refers to the length covered by an object or an individual. In this question, the figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, we have to find what distance she skated. The distance covered by an object or individual is determined by the formula:Distance = Circumference/2Given that the radius of the circle is 3.93 m, then:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 m.Therefore, the distance covered by the figure skater around half of the circle = 24.7 m/2 = 12.35 m. Therefore, she skated 12.35 m.Magnitude of DisplacementIf the figure skater skates all the way around the circle, then she covers the entire circumference of the circle. Therefore, the magnitude of the displacement vector is the same as the circumference of the circle, which is given as:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 mTherefore, the magnitude of the displacement vector when the figure skater skates all the way around the circle is 24.7 m.For such more question on magnitude
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Can air make shadows?
Answer:
Yes, air can indeed make shadows. A shadow occurs when an object in a light beam prevents some of the light from continuing on in the forward direction. When the light beam hits a wall or the ground, a darker shape is visible where less light is hitting the surface. Refraction is responsible.
Explanation:
Here is a clip of an example of air making a shadow
https://www.seeker.com/stories/air-shadows/
A sphere moves in simple harmonic motion with a frequency of 4.40 Hz and an amplitude of 3.50 cm. (a) Through what total distance (in cm) does the sphere move during one cycle of its motion
Answer:
It will move a distance of 4 * 3.5 = 4 cm in one cycle.
zero to max A, back to zero, zero to min A, back to zero (4 * A)
The moon weighs 7x1022kg and we are about 380,000,000m away from the moon. If you weigh 50kg, how much gravitational force does the moon have on you? (G=6.7x10-¹¹)
The gravitational force that the moon has on a person with a mass of 50 kg is approximately 1.15 N.
The gravitational force between two objects depends on their masses and the distance between them. This force is given by the formula:
F = (G × m₁ × m₂) / r² where F is the gravitational force, m₁ and m₂ are the masses of the two objects, r is the distance between them, and G is the gravitational constant, which has a value of 6.7 × 10⁻¹¹ N m²/kg².
Using this formula, we can find the gravitational force that the moon has on a person with a mass of 50 kg.
The mass of the moon is 7 × 10²² kg, and the distance between the moon and the person is 380,000,000 m.
Therefore, we have:
m₁ = 50 kg
m₂ = 7 × 10²² kg
r = 380,000,000 m
G = 6.7 × 10⁻¹¹ N m²/kg²
Substituting these values into the formula, we get:
F = (G × m₁ × m₂) / r²
F = (6.7 × 10⁻¹¹ × 50 kg × 7 × 10²² kg) / (380,000,000 m)²
F = 1.15 N
Therefore, the gravitational force that the moon has on a person with a mass of 50 kg is approximately 1.15 N.
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A sharpshooter fires a rifle while standing with the butt of the gun against her shoulder. If the forward momentum of a bullet is the same as the backward momentum of the gun, why isn't it as dangerous to be hit by the gun as by the bullet? (Select all that apply.)
The butt distributes the recoil force over an area much larger than that of the bullet.
The rifle has a much lower speed than the bullet.
The rifle has a much smaller kinetic energy than the bullet.
The rifle has much less mass than the bullet.
The rifle has much more total momentum than the bullet.
It as dangerous to be hit by the gun as by the bullet because of the following;
(A) The butt distributes the recoil force over an area much larger than that of the bullet.
(B) The rifle has a much lower speed than the bullet.
What is principle of conservation of linear momentum?
The principle of conservation of linear momentum states that in an isolated system, the total momentum of the system is conserved.
That is the sum of the initial momentum is equal to the sum of the final momentum.
momentum of the gun = momentum of the bullet
Mu = mU
where;
M is mass of the gunu is the velocity of the gunm is mass of the bulletU is the velocity of the bulletIf the forward momentum of a bullet is the same as the backward momentum of the gun, the speed of the gun will be smaller than the speed of the bullet since the mass of the gun is bigger than mass of the bullet.
We cannot conclude on the kinetic energy, since it depends on both mass and velocity.
Finally, the butt distributes the recoil force over an area much larger than that of the bullet, since the butt has a larger surface area and will hit more surface area than the bullet.
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what is the potential energy of a 30kg rock that falls 15 meters
Answer:
4500 JExplanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 10 m/s²
From the question we have
PE = 30 × 10 × 15
We have the final answer as
4500 JHope this helps you
where does the electrons go when a short circuit occurs
At the level of an individual electron a short-circuit doesn't look much different than a normal current path, it will move because of the electric field.
At the level of an individual electron a short-circuit doesn't look much different than a normal current path, it will move because of the electric field.
Help pls. Edge 2021- Motion in space
Collaboration is critical to successful product design, and with Solid Edge, OEMs and suppliers can improve and manage collaboration across design teams, regardless of location. By reducing design revisions and communication delays, our customers enjoy quicker time-to-market and increased profitability.
I'm not sure about how can solve this problem. Please help me!!
The magnitude of the power dissipated in resistor R4 is approximately 10,028 watts.
How to find magnitude?To find the power dissipated in resistor R4, use the formula:
P = I² × R
where P = power, I = current flowing through the resistor, and R = resistance of the resistor.
The total resistance, Rt, can be calculated using the formula:
1/Rt = 1/R1 + 1/R2 + 1/R3
Substituting the given values:
1/Rt = 1/3 + 1/0.8 + 1/2
Simplifying the equation:
1/Rt ≈ 1.6667
Rt ≈ 0.6 Ω
Next, calculate the total voltage, Vt, by summing the individual voltage sources:
Vt = ε1 + ε2 + ε3
Substituting the given values:
Vt = 9 + 6 + 4
Vt = 19 V
Now calculate the current flowing through resistor R4 using Ohm's Law:
I = Vt / Rt
Substituting the calculated values:
I = 19 / 0.6
I ≈ 31.6667 A
Finally, calculate the power dissipated in resistor R4:
P = I² × R4
Substituting the calculated values:
P = (31.6667)² × 10
P ≈ 10,028 W
Therefore, the magnitude of the power dissipated in resistor R4 is approximately 10,028 watts.
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34. [8 Marks] A spring is compressed with a 5.0 kg mass by 20.0 cm from its equilibrium position. When the spring is released, the 5.0 kg mass travels along a smooth horizontal surface and then up a frictionless plane at 30° to the horizontal. Calculate the distance it would travel up the inclined plane before coming back down again.
Answer and Explaination:
To solve this problem, we can analyze the forces acting on the mass as it travels up the inclined plane. We'll consider the gravitational force and the force exerted by the spring.
1. Gravitational force:
The force due to gravity can be broken down into two components: one perpendicular to the inclined plane (mg * cosθ) and one parallel to the inclined plane (mg * sinθ), where m is the mass and θ is the angle of the inclined plane.
2. Force exerted by the spring:
The force exerted by the spring can be calculated using Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position. The force can be written as F = -kx, where F is the force exerted by the spring, k is the spring constant, and x is the displacement from the equilibrium position.
Given:
Mass (m) = 5.0 kg
Compression of the spring (x) = 20.0 cm = 0.20 m
Angle of the inclined plane (θ) = 30°
First, let's find the force exerted by the spring (F_spring):
F_spring = -kx
To find k, we need the spring constant. Let's assume that the spring is ideal and obeys Hooke's Law linearly.
Next, let's calculate the gravitational force components:
Gravitational force parallel to the inclined plane (F_parallel) = mg * sinθ
Gravitational force perpendicular to the inclined plane (F_perpendicular) = mg * cosθ
Since the inclined plane is frictionless, the force parallel to the inclined plane (F_parallel) will be canceled out by the force exerted by the spring (F_spring) when the mass reaches its highest point.
At the highest point, the gravitational force perpendicular to the inclined plane (F_perpendicular) will be equal to the force exerted by the spring (F_spring).
Therefore, we have:
F_perpendicular = F_spring
mg * cosθ = -kx
Now, let's substitute the known values and solve for k:
(5.0 kg * 9.8 m/s^2) * cos(30°) = -k * 0.20 m
49.0 N * 0.866 = -k * 0.20 m
42.426 N = -0.20 k
k = -42.426 N / (-0.20 m)
k = 212.13 N/m
Now that we know the spring constant, we can calculate the maximum potential energy stored in the spring (PE_spring) when the mass reaches its highest point:
PE_spring = (1/2) * k * x^2
PE_spring = (1/2) * 212.13 N/m * (0.20 m)^2
PE_spring = 4.243 J
The maximum potential energy (PE_spring) is equal to the maximum kinetic energy (KE_max) at the highest point, which is also the energy the mass has gained from the spring.
KE_max = PE_spring = 4.243 J
Next, we can calculate the height (h) the mass reaches on the inclined plane:
KE_max = m * g * h
4.243 J = 5.0 kg * 9.8 m/s^2 * h
h = 4.243 J / (5.0 kg * 9.8 m/s^2)
h = 0.086 m
The height the mass reaches on the inclined plane is 0.086 m.
Now, we can calculate the distance traveled.
A 5.0 kg object compresses a spring by 0.20 m with a spring constant of 25 N/m. It climbs an incline, reaching a maximum height of 0.0102 m before coming back down, traveling a total distance of 0.0428 m.
Given data: Mass of the object, m = 5.0 kg, Displacement of the spring, x = 20.0 cm = 0.20 mAngle of the inclined plane, θ = 30°Calculating the spring constant, k. Using Hooke’s Law; F = -kx Where F is the restoring force required to bring the spring back to its equilibrium position.From the equation, F = ma For the object attached to the spring,m * a = -kx. On integrating,∫ma dt = -∫kx dt .On integrating the left side with limits from 0 to t and right side with limits from 0 to x, where the limits on the left are for acceleration and the right are for the displacement of the spring; mv - mu = -½ kx²At maximum compression, the velocity of the mass is zero, i.e., v = 0 and the initial velocity is also zero. Therefore, mv - mu = -½ kx²0 - 0 = -½ k (0.20)²∴ k = 25 N/mWork done on the spring in compressing it, W = ½ kx² = 0.5 * 25 * (0.20)² = 0.5 JSince the inclined plane is frictionless, the only force acting on the object will be the component of its weight acting along the plane. Hence, it will move up the incline with an acceleration of, a = g sin θ = 9.8 * sin 30° = 4.9 m/s²When the object has reached its maximum height, its velocity will be zero. Using the equation of motion; v² - u² = 2as0 - u² = 2as∴ s = u² / 2a. Now, the initial velocity of the object up the incline is,u = √(2gH)Where H is the height to which it climbs, and is given by, H = W / m g Where W is the work done on the object in lifting it to height H, and m is the mass of the object. W = 0.5 J, m = 5 kg. So, H = 0.5 / (5 * 9.8) = 0.0102 m∴ u = √(2gH) = √(2 * 9.8 * 0.0102) = 0.4525 m/sNow, the distance traveled by the object up the incline is,s = u² / 2a = (0.4525)² / (2 * 4.9) = 0.0214 m. When the object comes back down, it will travel the same distance down the incline, before coming to rest. Therefore, the total distance travelled up and down the incline is,2s = 2 * 0.0214 = 0.0428 m.For more questions on the spring constant
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in a closed system three objects have the following momentum: 11 kg* m/s, -65 kg*m/s and -100 kg m/s. the objects collide and move together. What is the total momentum after the collision? 55 kg*m/s 275 kg * m/s -55kg * m/s -275 kg m/2
Explanation:
The momentum of the three objects are as follow :
11 kg-m/s, -65 kg-m/s and -100 kg-m/s
Before collision, the momentum of the system is :
\(P_i=11+(-65)+(-100)\\\\P_i=-154\ kg-m/s\)
After collison, they move together. It means it is a case of inelastic collision. In this type of collision, the momentum of the system remains conserved.
It would mean that, after collision, momentum of the system is equal to the initial momentum.
Hence, final momentum = -154 kg-m/s.
A point charge Q1 = +6.0 nC is at the point (0.30 m, 0.00 m); a charge Q2 = -1.0 nC is at (0.00 m, 0.10 m), and a charge Q3 = +5.0 nC is at (0.00 m, 0.00 m). What are the magnitude and direction of the net force on the +5.0-nC charge due to the other two charges? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)
Answer:
My Answer is Answer
Explanation:
We can use Coulomb's equation, which states that the force between two point charges is imparted: due to the other two charges (\(\rm Q_1\) and \(\rm Q_2\)) to obtain a net force on the +5.0 nC charge (\(\rm Q_3\)).
\(\rm F = k * |Q_1 * Q_2| / r^2\)
where:
F = force between the charges
k = Coulomb's constant ≈ 9.0 x \(\rm 10^9 N.m^2/C^2\)
\(\rm Q_1\) and \(\rm Q_2\) = magnitudes of the charges
r = distance between the charges
Calculating the forces separately for each pair of charges and then find the net force:
Force between \(\rm Q_3\) and \(\rm Q_1\):
\(\rm Q_3\) = +5.0 nC = +5.0 x \(10^-^9\) C
\(\rm Q_1\) = +6.0 nC = +6.0 x \(10^-^9\) C
\(\rm r_1\) = distance between \(\rm Q_3\) and \(\rm Q_1\) = √[(0.00 m - 0.30 m\()^2\) + (0.00 m - 0.00 m\()^2\)] ≈ 0.30 m
\(\rm F_1\)= k * |\(\rm Q_3\) * \(\rm Q_1\)| / \(\rm r_1^2\)
\(\rm F_1\) = (9.0 x \(10^9\) N·\(\rm m^2/C^2\)) * |(5.0 x \(10^-^9\) C) * (6.0 x \(10^-^9\) C)| / (0.30 \(\rm m)^2\)
\(\rm F_1\)≈ 6.0 N (towards the left)
Force between \(\rm Q_3\) and \(\rm Q_2\):
\(\rm Q_3\) = +5.0 nC = +5.0 x \(10^-^9\) C
\(\rm Q_2\) = -1.0 nC = -1.0 x \(10^-^9\) C
r2 = distance between Q3 and Q2 = √[(0.00 m - 0.00 m)^2 + (0.00 m - 0.10 m)^2] ≈ 0.10 m
\(\rm F_2\) =\(\rm k * |Q_3 * Q_2| / r2^2\)
\(\rm F_2\) = (9.0 x \(\rm 10^9 N.m^2/C^2\)) * |(5.0 x \(10^-^9\) C) * (-1.0 x \(10^-^9\) C)| / (0.10 \(\rm m)^2\)
\(\rm F_2\) ≈ 45.0 N (towards the top)
Now we can sum the forces in the x and y directions to determine the net force:
Net force in the x-direction = \(\rm F_1\) = 6.0 N (to the left)
Net force in the y-direction = \(\rm F_2\) = 45.0 N (upwards)
The Pythagorean theorem can be used to determine the magnitude and direction of the net force.
Magnitude of net force = √(Net force in the x-direction\()^2\)+ (Net force in the y-direction\()^2\)
Magnitude of net force ≈ √(6.0 N\()^2\) + (45.0 N\()^2\)≈ √(36 \(\rm N^2\) + 2025 \(\rm N^2\)) ≈ √(2061 \(\rm N^2\)) ≈ 45.4 N
The direction of the net force is the angle θ:
θ = arctan(Net force in the y-direction / Net force in the x-direction)
θ = arctan(45.0 N / 6.0 N) ≈ arctan(7.5) ≈ 82.9°
As a result, the net force exerted by the other two charges on the +5.0 nC charge has a strength of about 45.4 N and is directed about 82.9° above the negative x-axis (in the upper left direction).
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The hottest recorded temperature in the history of the United States is 134 °F, which is 57 °C. What would the speed of sound at this temperature?
Answer:
365 m/s
Explanation:
Mrs Finley
The same amount of thermal energy was added to two equal masses of Aluminum and Iron. The specific heat of Aluminum is double the specific heat of iron. If the temperature of the Aluminum's mass changes by /\T, what is the change in the Iron's mass temperature?
Answer:
it is double the temperature change of iron
How to model parallel circuit?
A parallel circuit can be modelled by connecting the components parallel.
A parallel circuit is a form of electrical circuit in which the components are linked in parallel to one another, each having a separate channel for current flow and being directly connected to the power source. The circuit must first be schematically represented, with the power supply and each component linked in parallel. Next, the total resistance the total current in the circuit by using Ohm's Law must be calculated.
Additionally, it is necessary to confirm that the total current entering the circuit equals the total current leaving the circuit. In a parallel circuit, the total current passing through all of the components equals the current entering the circuit. The voltage drop between each component must then be once more computed using Ohm's Law.
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27.
In a graph showing how temperature of a material changes over time, temperature
change is the:
A. dependent variable
C. variable with the smallest range
B. independent variable
D. variable with the largest range
Answer:
A. Dependent variable
Explanation:
In a graph showing how temperature of a material changes over time, temperature is taken on y-axis and time is taken on x-axis. It shows how temerature altered as the time changes.
In temperature-time graph, temperature is directly dependent on time. With the increase in time, temperature rises, falls or remains constant. It implies that temperature is dependent variable that depend on time.
Hence, the correct option is (A).
A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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HELPP ?Air at a temperature of 27 C and 1 atm pressure in a 4 liter cylinder of a diesel engine There. By pushing the piston, the volume of air shrinks 16 times and the pressure increases 40 times. a) How many moles of air are in the cylinder. b) What is the final temperature of the air?
Answer:
a. 0.16240664737515434 moles
b. 67.5 degrees Celcius
Explanation:
a. Use Ideal Gas Equation
PV=nRT
Where P = pressure in pascals, V=Volume in cubic meters, n=number of moles, R is a constant=8.314 J/mol.K and T is temperature in Kelvin.
27C = 273+27=300Kelvin
volume 4L = 0.004m^3
Pressure = 1atm = 101325 Pascal
PV=nRT
101325Pa*0.004m^3=n*8.314J/mol.K*300K
Solving for n from the above you get n=0.16240664737515434 moles
b.Use combined gas law equation
P1*V1/T1=P2*V2/T2
P1= 1atm
V1=4L
T1=27C
P2= 4/16 L =0.25L
P=1*40 atm = 40atm
We do not know T2
USING THE FORMULA
(1atm*4L)/27C = (40atm*0.25L)/T2
(1*4)/27=(40*0.25)/T2
IF you simplify for T2, you get 67.5
Hence final temperature = 67.5 degrees Celcius
Based on the diagram, which statement explains how energy is conserved
during this chemical reaction?
A
Reaction progress
Potential energy
of a system
B
OA. The potential energy lost by the reaction system (B) is gained by
the surroundings.
B. The potential energy lost by the reaction system (C) is also lost by
the surroundings.
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OC. The potential energy changes indicated by C and B involve energy
lost by the surroundings.
The potential energy changes indicated by C and B involve energy lost by the surroundings. Therefore, option B is correct.
Potential energy is the energy possessed by an object due to its position or condition. It is often associated with the potential for the object to do work or undergo a change. The concept of potential energy arises from the interactions between objects or within a system.
Potential energy is converted into other forms of energy, such as kinetic energy (energy of motion) when the object or system undergoes a change or is acted upon by external forces.
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Your question is incomplete, most probably the correct answer is this:
Based on the diagram, which statement explains how energy is conserved during this chemical reaction? (A) is also gained by the surroundings. B. The potential energy changes indicated by C and B involve energy lost by the surroundings. C. The potential energy lost by the reaction system (C) is also lost by the surroundings. D. The potential energy lost by the reaction system (B) is gained by the surrounding
two faer coin and unbayers
dice are thrown together list the
Sample space
determine the probabilities that
A head and even number
A prime number and atleast a tail
in a hockey game, player A passes the puck to player B, who is standing on the blue line, as shown in the diagram. The puck travels distance d1=24.1m on its way to player B, making an angle = 52.5 degrees with the x axis. Player B then passes the puck so that it moves d2=7.9m on the blue line in the negative x direction. A) What is the magnitude of the total displacement in meters? B) What angle, in degrees, does the total displacement make with the x axis?
The magnitude of the total displacement is 20.28 m.
The angle of the total displacement with the x axis is 70.5⁰.
Total displacement
The total displacement of the player is calculated as follows.
Apply cosine rule as shown below;
d² = d₁² + d₂² - 2d₁d₂ cos(θ)
d² = (24.1)² + (7.9²) - (2 x 24.1 x 7.9) cos(52.5)
d² = 411.42
d = √411.42
d = 20.28 m
Angle of the displacement with horizontalApply sine rule as shown below;
d/sinD = d₂/sinD₂
20.28/sin(52.5) = 7.9/sinD₂
25.562 = 7.9/sinD₂
sinD₂ = 7.9/25.562
sinD₂ = 0.309
D₂ = sin⁻¹(0.309)
D₂ = 18⁰
angle with x axis = 18⁰ + θ
= 18⁰ + 52.5⁰
= 70.5⁰
Thus, the magnitude of the total displacement is 20.28 m.
The angle of the total displacement with the x axis is 70.5⁰.
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. A 5cm tall object is placed perpendicular to the principal axis of a convex lens of focal
length 10 cm. The distance of the object from the lens is 15 cm. Find the nature, position
and size of the image. Also find its magnification
The nature of the image formed by the convex lens is virtual, the position of the image is 30 cm away from the lens on the same side as the object, and the size of the image is twice the size of the object. The magnification is 2, meaning the image is magnified.
Given:
Object height (h) = 5 cm
Focal length of the convex lens (f) = 10 cm
Object distance (u) = 15 cm (positive since it's on the same side as the incident light)
To determine the nature, position, and size of the image, we can use the lens formula:
1/f = 1/v - 1/u
Substituting the given values:
1/10 = 1/v - 1/15
To simplify the equation, we find the common denominator:
3v - 2v = 2v/3
Simplifying further:
v = 30 cm
The image distance (v) is 30 cm. Since the image distance is positive, the image is formed on the opposite side of the lens from the object.
To find the magnification (M), we use the formula:
M = -v/u
Substituting the values:
M = -30 / 15 = -2
The magnification is -2, indicating that the image is inverted and twice the size of the object.
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HELP ASAP PLS!!!
when you see a full moon, what type of tides do you expect there to be?
Answer:
Spring High Tide
When the moon is full or new, the gravitational pull of the moon and sun are combined. At these times, the high tides are very high and the low tides are very low.
5. A tennis player hits a ball when it is at a height of 1.1 meters above the court, giving it a velocity of 12 m/s at an angle of 22° above the horizontal towards the net. The net is 1.81 meters high and stands 2.6 meters from the player.
a) Show that the ball will just pass over the net.
b) Find when and where the ball hits the ground.
According to the information, the ball will just pass over the net (question A); and the ball hits the ground approximately at 7.04 meters from the player and after a time of flight of approximately 1.31 seconds (question B).
How to determine if the ball will clear the net?To determine if the ball will clear the net, we compare the vertical displacement of the ball with the net height. The ball's initial height is 1.1 meters, and it reaches its highest point during flight. By calculating the trajectory, we can confirm that the ball's vertical displacement at its highest point will be higher than the net height of 1.81 meters, ensuring it clears the net.
How to find when and where the ball hits the ground?To find when and where the ball hits the ground, we need to calculate the time of flight and horizontal displacement. Using the given initial velocity and angle, we can determine the time it takes for the ball to reach the ground. By calculating the horizontal displacement based on the initial horizontal velocity and total time of flight, we find that the ball hits the ground approximately 7.04 meters from the player. The time of flight is approximately 1.31 seconds. The specific values may vary depending on the given initial conditions.
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A Jogger runs 2.0km due east, then 10km at 45° north of east and finally 0.5km due north- Determine the displacement using graphical method Using Scale of 5ocm =2 km
Answer:
Explanation:
To determine the displacement of the jogger using a graphical method, we can create a vector diagram to represent the individual components of the jogger's motion. We can then find the resulting displacement by adding the vectors end to end.
Assuming that "50cm = 2km" is the scale, we can convert the distances to represent them on the diagram:
2.0 km due east = 100 cm
10 km at 45° north of east = 70.71 cm (using Pythagorean theorem)
0.5 km due north = 25 cm
Next, we can plot the vectors on a coordinate grid, with east as the x-axis and north as the y-axis.
The jogger's first move, 2 km due east, can be represented by a vector starting from the origin and extending 100 cm to the right.
The second move, 10 km at 45° north of east, can be represented by a vector starting from the end of the first vector and extending 70.71 cm up and to the right.
The third move, 0.5 km due north, can be represented by a vector starting from the end of the second vector and extending 25 cm straight up.
Finally, to find the displacement, we add the vectors end to end. The displacement is the vector that starts at the origin and extends to the endpoint of the final vector. The magnitude of the displacement can be found using the Pythagorean theorem.
Using this method, we can determine the displacement of the jogger using a graphical method and the given scale.