Calculating Change in PE and KE of a 100 kg Rock | Energy Homework

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In summary, the gravitational potential energy of a 100 kg rock that is 5 m above the ground is 4900 J. When the rock falls to the ground, its potential energy becomes 0 J, resulting in a change in potential energy of 4900 J. Due to the conservation of energy, the change in kinetic energy of the rock is also 4900 J.
  • #1
jpartdq
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Homework Statement


. Consider the energy of a 100 kg rock.
a) What is the gravitational potential energy (PE) of the rock that is 5 m above the ground?

b) The rock falls to the ground. What is its PE?

c) What is the change in PE of the rock?

d) What is the change in the kinetic energy of the rock?


Homework Equations



MGH

The Attempt at a Solution



a) 100*9.8 m/s2*5 = 4900 J
b) 0J
c) Change in PE = 4900 J
d) Change in KE = ½ * 100kg * (9.9 m/s)2 = 4900 J

Can anyone look at my answers?
 
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  • #2
Looks correct assuming that the surface of the Earth is taken as the zero reference point. Should include +/- signs for the "change in XX" to indicate whether its an increase or a decrease. What's with the strange working for change in KE though? Since no external forces act on the system, the change in KE is simply equal to the change in PE magnitude-wise.
 
  • #3


I can confirm that your calculations and answers are correct. Good job on using the correct formula for calculating gravitational potential energy and kinetic energy. Just make sure to double check your units to ensure accuracy. Overall, well done!
 

1. What is "Change in PE"?

"Change in PE" refers to the change in potential energy of an object or system. Potential energy is the energy that is stored in an object or system due to its position, shape, or state.

2. How is "Change in PE" calculated?

The formula for calculating change in potential energy is ΔPE = mgh, where ΔPE is the change in potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the change in height.

3. What factors affect "Change in PE"?

The factors that affect change in potential energy include the mass of the object, the acceleration due to gravity, and the change in height. Additionally, the potential energy of an object can also be affected by external forces, such as friction or air resistance.

4. Why is "Change in PE" important to understand?

Understanding change in potential energy is important in understanding the behavior of objects and systems. It helps us understand how energy is transferred and transformed within a system, and how that can affect the motion and stability of objects.

5. Can "Change in PE" be negative?

Yes, change in potential energy can be negative if the final position of the object is lower than the initial position. This indicates a decrease in potential energy and an increase in kinetic energy, as the object has lost energy while moving downwards.

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