Question
What will happen to the potential energy of an object if the mass of the object is reduced by half and its height is four times higher?
Question 2 options:
It halves (1/2).
It is quartered (1/4).
It quadruples (4x).
It doubles (2x).
Question 2 options:
It halves (1/2).
It is quartered (1/4).
It quadruples (4x).
It doubles (2x).
Answers
GPT 3.5
The potential energy of an object is given by the formula PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.
If the mass of the object is reduced by half and its height is four times higher, the new potential energy can be calculated as follows:
1. The mass is reduced by half, so the new mass will be (1/2)m.
2. The height is four times higher, so the new height will be 4h.
Substituting these values into the formula, the new potential energy (PE') is given by:
PE' = (1/2)mgh
PE' = (1/2)(1/2)m(4h)
PE' = (1/2)(1/2)(4)(mgh)
PE' = (1/4)PE
Therefore, the potential energy is quartered (1/4) when the mass is reduced by half and the height is four times higher.
Answer: It is quartered (1/4).
If the mass of the object is reduced by half and its height is four times higher, the new potential energy can be calculated as follows:
1. The mass is reduced by half, so the new mass will be (1/2)m.
2. The height is four times higher, so the new height will be 4h.
Substituting these values into the formula, the new potential energy (PE') is given by:
PE' = (1/2)mgh
PE' = (1/2)(1/2)m(4h)
PE' = (1/2)(1/2)(4)(mgh)
PE' = (1/4)PE
Therefore, the potential energy is quartered (1/4) when the mass is reduced by half and the height is four times higher.
Answer: It is quartered (1/4).