Answer:
147.15 Joules.
Explanation:
A 3 kilogram mass at a height of 5 meters, while acted on by Earth's gravity would have 147.15 Joules of potential energy, PE = 3kg * 9.81 m/s2 * 5m = 147.15 J.
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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Now that you've done your research on the law of supply, you understand that it basically asserts that how much coffee you'd be willing to supply depends on how much money you can make for each cup.
Electric potential difference is the change in kinetic energy per unit charge in an electric field.
Question 13 options:
True
False
Hi there!
False.
Electric potential difference is the change in ELECTRIC POTENTIAL ENERGY per unit charge.
\(\large\boxed{\Delta V = \frac{\Delta U}{q}}\)
An object of height 5cm is placed 20cm in front of pin hole camera from a cubic box of side 6cm . Determine the height of the image formed
A 1220-N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A 1960-N crate hangs from the far end of the beam. FTis the Tension in the cable. FVand FHare the vertical and horizontal components of the force on from the wall on the beam. Why is the direction of FVup and not down
Answer:
Suppose the cable was vertical.
Vertical forces have to cancel to zero.
If you added weight to the beam the vertical force (supposed down)
the cable has to support the added weight as well as the weight added to the cable.
One could create a perpetual motion machine by using the additional downward force on the wall from weight applied to the beam. That is because
2 forces must be offset by the force Fv. That is, both the cable and the additional weight would contribute to the downward force at Fv.
study island genticsBelow is a Punnett square for the color of a hybrid rose. The allele y is for dark yellow and the allele Y is for pale yellow.
Y y
y Yy yy
y Yy yy
If a rose with the genotype Yy is pale yellow in color, which alelle is dominant?
A.
dark yellow, y
B.
dark yellow, Y
C.
pale yellow, Y
D.
pale yellow, y
If a rose with the genotype Yy is pale yellow in color, then there is not complete dominance for neither allele and it is a case of incomplete dominance. Nonetheless, since allele Y is for pale yellow and the hybrid has this phenotype, then it is partially dominant (pale yellow, Y, option 3).
What is incomplete dominance?Incomplete dominance is a genetic phenomenon in which one of the two alleles present for a given gene locus is expressed more strongly when compared to the other allele, which is called partially dominant and partially recessive alleles, respectively.
Conversely, complete dominance is due to the presence of an allele that completely masks the expression of the recessive allele in heterozygous hybrid individuals.
Therefore, with this data, we can see that incomplete dominance is associated with the expression of both alleles in the heterozygous hybrid individuals.
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How do very small nuclei release energy?
A. Increase size
B. Not enough info
C. Stay the same size
D. Decrease size
Two atoms of the same element only differ because one of the atoms has more electrons, making it an ion. Which statement is true? They have the same A-number and the same Z-number. They have the same A-number but different Z-number. They have a different A-number but the same Z-number. They have different A-numbers and different Z-numbers.
The correct answer is Option B. The statement "they have the same A-number but different Z-number" is true .
Atoms of the same element only differ because one of the atoms has more electrons, making it an ion.
This difference does not affect the mass of the atom, which is determined by the sum of its protons and neutrons, represented by the atomic mass or A-number.
The number of protons in an atom is called the atomic number or Z-number.
The Z-number of an element is unique to it. All the atoms of a given element have the same number of protons.
Thus, for example, all carbon atoms have six protons, making the Z-number of carbon 6.
However, different isotopes of an element can have different numbers of neutrons.
This means that they have a different atomic mass or A-number.
Therefore, they have the same A-number but different Z-number.
Therefore the correct Option is B.
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HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.
To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.
In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.
To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.
Total cost covered by the five friends = Total cost - Cost of one person's meal
= (£12 x 6) - £12
= £72 - £12
= £60
Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).
Amount each friend needs to pay = Total cost covered by the five friends / Number of friends
= £60 / 5
= £12
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A candle is placed in front of a concave mirror as it is shown . State the image characteristics (SALT)
As a result, the picture behind the mirror is virtual, upright, and enlarged.
What does SALT in concave mirrors stand for?You will find that the properties of an image (SALT) created in a concave mirror depend on the object's position. A) if the item is larger than C. Size, attitude, and location are all important considerations.
The image will be true, but reversed and much reduced. To obtain a crisp flame image, move the burning candle towards the mirror while moving the screen away from it. The size of the inverted picture grows.
Concave mirrors may create both physical and virtual images. A virtual and enlarged picture is produced when the item gets closer to the mirror. When the item is placed further away from the mirror,.
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Given a DC battery of voltage, V = 10.0 V connected to a resistor R = 2.00 Ohms. What is the current coming out of the battery? A)48.2 A B)7.67 A C)9.65 A D)23.4 A E)5.00 A
Given:
The voltage of the battery, V=10.0 V
The resistor of the resistance, R=2.00 Ω
To find:
The current coming out of the battery.
Explanation:
From Ohm's law, the voltage across a circuit is directly proportional to the current through the circuit.
Thus, the voltage of the battery is given by,
\(V=IR\)Where I is the current coming out of the battery.
On substituting the known values,
\(\begin{gathered} 10.0=I\times2.00 \\ \Rightarrow I=\frac{10.0}{2.00} \\ =5.00\text{ A} \end{gathered}\)Final answer:
The current coming out of the battery is 5.00 A.
Thus the correct answer is option E.
What step occurs first in a scientific investigation and in the development of a new technology?
-Findings are communicated to others.
-A problem or need is identified
-A series of tests are analyzed.
-Information is researched
Answer:
B. A problem or need is identified
Explanation:
hoep this helps
Answer:
B
Explanation:
edge
28) A student holds a ball at height of 1.1m having ball mass 4 kg
find mechanical energy at A
also find its potential energy when it reaches at height of 0.8 m. (g=10m/s²)
The potential energy at Point A is 44 joules. The potential energy at a height of 0.8 m is 32 joules, and to find the mechanical energy at point A, one need to consider both the potential energy and the kinetic energy of the ball.
Potential Energy at Point A: Potential energy is given by the formula PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.
Given: Mass of the ball (m) = 4 kg
Height at Point A (h) = 1.1 m
Acceleration due to gravity (g) = 10 m/s²
Potential Energy at Point A = mgh
Potential Energy at Point A = 4 kg × 10 m/s² × 1.1 m
Potential Energy at Point A = 44 Joules
So, the potential energy at Point A is 44 Joules.
Potential Energy at Height 0.8 m: To find the potential energy at a height of 0.8 m, one will use the same formula.
Given: Height at Point = 0.8 m
Potential Energy at Height 0.8 m = mgh
Potential Energy at Height 0.8 m = 4 kg × 10 m/s² × 0.8 m
Potential Energy at Height 0.8 m = 32 Joules
So, the potential energy at a height of 0.8 m is 32 joules.
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A 1.0 kg cube of ice is dropped into 1.0 kg of water, and when equilibrium is reached, there are 2.0 kg of ice at 0.0° C. The initial temperature of the water was 0°C. What was the original temperature of the ice? (Cw = 4186 J/kgo°C, c; = 2093 J/kg.°C, and If = 3.3 × 105 J/kg)
The initial temperature of the water was 0°C and the original temperature of the ice was -78.8°C.
First, we need to determine how much heat was transferred from the water to the ice to melt the ice and raise its temperature to 0°C.
The heat is required to melt the ice will be;
Q₁ = m_ice x Lf
where m_ice is the mass of the ice and\(L_{f}\) is the latent heat of fusion of ice.
Q₁ = 1.0 kg x 3.3 x 10⁵ J/kg
= 3.3 x 10⁵ J
The heat required to raise the temperature of the melted ice from -x°C to 0°C is;
Q₂ = m_ice x c_ice x ΔT
where c_ice is the specific heat capacity of ice and ΔT is the change in temperature.
Q₂ = 1.0 kg x 2093 J/kg.°C x (0 - (-x))°C
= 2093x J
The heat lost by the water will be equal to the heat gained by the ice;
Q₁ + Q₂ = m_water x Cw x ΔT
where m_water is the mass of the water and Cw is the specific heat capacity of water.
3.3 x 10⁵ J + 2093x J = 1.0 kg x 4186 J/kg.°C x (0 - T)°C
Solving for T, we get;
T = -[(3.3 x 10⁵ J + 2093x J)/(4186 J/kg.°C)]
= -78.8°C
Therefore, the original temperature of the ice was -78.8°C.
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Difference between corpuscular theory and wave theory
Answer:
Explanation:
Isaac Newton argued that the geometric nature of reflection and refraction of light could only be explained if light were made of particles, referred to as corpuscles, because waves do not tend to travel in straight lines.
The same monochromatic light passes through the interface between two other unknown materials. This time the transmitted wave is observed to be farther from the normal to the interface than the incident wave. What can be said about these two materials and the light traveling through them?
Since the same monochromatic light passes through the interface between two other unknown materials. The option that can be said about these two materials and the light traveling through them is option B and C:
B)The second material through which the light propagates has a lower index of refraction.C)As the light passes into the second material, its speed increases.What is the monochromatic light above about?Regarding the question Snell's law tells us that light at an interface bends toward a more dense or higher index of refraction.
The second material has a lower index of refraction than the first material because the light is bending away from the normal since it is farther from the normal. As a result, for the second question, the second and third boxes are checked.
The refracted ray bends away from the normal to the interface when a light ray enters a material with a lower index of refraction and a higher wave speed, and it will look closer to the interface than the incident ray.
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See full question below
The same monochromatic light passes through the interface between two other unknown materials. This time the transmitted wave is observed to be farther from the normal to the interface than the incident wave. What can be said about these two materials and the light traveling through them?
A)The second material through which the light propagates has a higher index of refraction.
B)The second material through which the light propagates has a lower index of refraction.
C)As the light passes into the second material, its speed increases.
D)As the light passes into the second material, its speed decreases.
A sled that has a mass of 8 kg is pulled at a 50 degree angle with a force of 20 N. The force of friction acting on the sled is 2.4 N. The free-body diagram shows the forces acting on the sled. A free body diagram with 4 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline. The second vector is pointing up to the right at an angle of 50 degrees, labeled F Subscript p Baseline. The third vector is pointing upward, labeled F Subscript N Baseline. The fourth vector is pointing left, labeled F Subscript f Baseline. The up and down vectors are the same length. The right vector is longer than the left vector. What is the acceleration of the sled and the normal force acting on it, to the nearest tenth? a = 1.3 m/s2; FN = 63.1 N a = 1.6 m/s2; FN = 65.6 N a = 1.9 m/s2; FN = 93.7 N a = 2.2 m/s2; FN = 78.4 N
The acceleration of the sled will be 1.30 m/s². Force is defined as the product of mass and acceleration.
What is force?Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.
Given data;
m(mass of sled)=8 kg
Θ is the inclination of force= 50°
Force of friction,f=2.4 N.
The applied force at the given angle is resolved into the two-component as;
\(\rm F_h=F cos \theta \\\\ F_h= 20 cos 50 ^0 \\\\ F_h= 12.85 \ N\)
\(\rm F_v=F sin \theta \\\\ F_v=20 sin 50^0 \\\\ F_v=15.32 \ N\)
The net vertical force is zero;
\(\rm F_N=mg-Fsin50^0 \\\\ \rm F_N=8 \times 9.81 -15.32 \\\\ F_N=63.1 \ N \\\\\)
From Newton's second law the net force as;
\(\rm \sum F_{net}=ma \\\\ Fcos 60^0-f =ma \\\\ a=\frac{12.855-2.4}{8} \\\\a = 1.30 \ m/s^2\)
Hence, the acceleration of the sled will be 1.30 m/s².
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Answer:
1) a = 1.3 m/s2; FN = 63.1 N
Explanation:
Edg 2022:)
The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?
Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.
Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!
The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.
The p-waves travel with a constant velocity of 7 km/s
The time can be calculated by using the formula
t = d / v
where
T1 = 10:05 a.m
d is the distance they take to travel from the epicenter
v is the speed of the p-waves
On average, the speed of p-waves is
v = 7 km/s
d = 5600 km (given)
Substituting the values in the formula;
t = d / v
t = 5600 ÷ 7
t = 800 seconds
Converting into minutes,
t = 800 ÷ 60
t = 13.3
≈ 13 mins
T1 - 13 mins = T2
10:05 - 13 mins = 9.52 am
It means the earthquake occurred prior 13 minutes, that is at 9.52 am.
Therefore, the earthquake occurred at 9.52 am.
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If a 20kg mass hangs from a spring, whose elastic constant is 1800 N / m, the value of the spring elongation is
Explanation:
F = kx
mg = kx
(20 kg) (10 m/s²) = (1800 N/m) x
x = 0.11 m
Choose the best description of a magnet
O A. Something with magnetic domains
O B. Something that attracts iron
O C. Iron, cobalt, and nickel
O D. Something that becomes magnetic with the application of a
current
Answer:
Explanation:
Something that attracts iron...duuhhh
A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J
The potential energy of the roller coaster is 176,400 J (joules).
The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.
In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).
Using the formula, we can calculate the potential energy:
PE = mgh
= (900 kg)(9.8 \(m/s^2\))(20 m)
= 176,400 J
Therefore, the potential energy of the roller coaster is 176,400 J (joules).
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What is the term for the basic unit of electric current?
The basic unit of electric current is the
The term for basic unit of electric current is called the ampere
What is Electricity?Electricity is a collection of physical phenomena related to the presence and motion of matter having an electric charge. Both electricity and magnetism are related to the phenomenon of electromagnetic, as defined by Maxwell's equations.
For electricity generation, the three basic forms of energy are fossil fuels (coal, natural gas, and petroleum), nuclear energy, and renewable energy sources. The majority of electricity is produced by steam turbines powered by fossil fuels, nuclear, biofuels, geothermal, and solar thermal energy.
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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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Each of two small spheres is charged positively, the combined charge being 5.0×10 ³C. If each sphere is repelled from the other by a force of 1.0N when the spheres are 2.0m apart, calculate the charge on each sphere.
After considering the given data we conclude that the charge on each sphere is 2.5 × 10³ C, under the condition that Coulomb's law was used.
Coulomb's law states
F = (k ×q₁× q₂ )/r²,
Here
F = electrostatic force between two point charges,
k = coulomb constant,
q₁ and q₂ = charges on the spheres and r is the distance between them
We are given that both spheres have equal charges and force between them is 1.0 N and they are 2.0 m apart
q= √(1.0 N × 4.0m²)/k
q = 2.0 × 10⁻⁴ C
Since charge on each sphere is same, so the charge on each sphere will be
q₁ = q₂ = 2.5 × 10³ C
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In the absence of a gravitational field, you could determine the mass of an object (of unknown composition) by:
A) applying a known force and measuring it's acceleration.
B) measuring the volume.
C) weighing it.
Answer:
A) By applying a known force, and measuring it's acceleration.
Explanation:
This is actually something that astronauts do in space as a mathmatical exercise when calculating the mass of an object since F = m × a.
Once the force, and acceleration are applied, the only unknown is the mass which can be solved by dividing force over acceleration. This is because inertial mass is equal to gravitational mass.
What are the similarities and differences between these data sets in terms of their centers and their variability?
Data Set A: 12, 15, 18, 18, 22, 29
Data Set B: 13, 17, 17, 19, 20, 34
Select from the drop-down menus to correctly complete the statements.
Comparing the centers of the data sets, the median for Data Set A is Choose...
Choose.
Set A is Choose... the mean for Data Set B.
less than
equal to
greater than
the median for Data Set B. The mean for Data
4
Find the change in the force of gravity between two planets when the distance between them becomes 10 times smaller. g
Answer:
F' = F/16
So, the force of gravity has become 16 times less than initial value.
Explanation:
The force of gravity between two planets, is given by the following formula:
F = Gm₁m₂/r² ----------- equation 1
where,
F = Force of gravity between two planets
G = Gravitational Constant
m₁ = Mass of one planet
m₂ = Mass of other plant
r = Distance between two planets
Now, if the distance between the planets (r) is 10 times smaller, then Force of gravity will become:
F' = Gm₁m₂/(4r)²
F' = (1/16) (Gm₁m₂/r²)
using equation 1:
F' = F/16
So, the force of gravity has become 16 times less than initial value.
A horizontal force of 15N is needed to keep a box sliding on a horizontal floor at a constant speed of 0.5m/s. The speed of the box is increased to 1.5m/s by some means (which is not the concern of this question). What horizontal force would be needed to keep the same box sliding on the same horizontal floor at a constant speed of 1.5m/s?
The horizontal force needed to keep the same box sliding on the same horizontal floor at a given constant speed is 45 N.
Horizontal forceThe horizontal force needed to keep the same box sliding on the same horizontal floor at a given constant speed is calculated as follows;
\(F= \frac{mv}{t} \\\\mv = Ft\\\\m = \frac{Ft}{v} \\\\\frac{F_1}{v_1} = \frac{F_2}{v_2}\)
where;
v1 is the initial velocityv2 is the final velocity\(F_2 = \frac{F_1v_2}{v_1} \\\\F_2 = \frac{15 \times 1.5}{0.5} \\\\F_2 = 45 \ N\)
Thus, the horizontal force needed to keep the same box sliding on the same horizontal floor at a given constant speed is 45 N.
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Which one of the following statements concerning weight and energy balance is most accurate?
A. People generally need the same amount of physical activity to maintain weight stability.
B. Regular physical activity doesn’t impact the percentage of body fat in children and adolescents.
C. It’s possible to achieve weight stability by doing the equivalent of 60–120 minutes a week of moderate-intensity walking.
D. The optimal amount of physical activity needed to maintain weight is unclear.
Answer: D. I took the test and got it right
The correct answer choice concerning weight and energy balance which is most accurate is the optimal amount of physical activity needed to maintain weight is unclear.
What is energy balance?Energy balance refers to the way in balance is achieved when intake of energy is equal to energy expended.
Energy refers to the impetus behind all motion and all activity. If is also the capacity to do work. Energy is measured in a unit dimensioned in mass × distance²/time² (ML²/T²) or the equivalent.
So therefore, the correct answer choice concerning weight and energy balance which is most accurate is the optimal amount of physical activity needed to maintain weight is unclear.
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Voltage will always make electrons move from: a high voltage area to a low voltage area. a low voltage area to an area of high resistance. a low voltage area to a high voltage area. a closed circuit to an open circuit .
Answer:
Explanation:
Current is the flow of electrons. The voltage moves electrons from a strong electric field to a weak electric field. Thus, the correct option is
a high voltage area to a low voltage area.