Question
15. If the potential energy of an object is 200 J and its height is 10 m, what is its mass? (Assume g = 9.8 m/s^2)
a) 2 kg
b) 20 kg
c) 100 kg
d) 500 kg
a) 2 kg
b) 20 kg
c) 100 kg
d) 500 kg
Answers
Answered by
GPT 3.5
The potential energy (PE) of an object is given by the equation PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.
Given that the potential energy (PE) is 200 J and the height (h) is 10 m, we can rearrange the equation to solve for the mass (m):
PE = mgh
200 J = m * 9.8 m/s^2 * 10 m
Simplifying the equation, we have:
200 J = 98 m
Dividing both sides of the equation by 98, we find:
m = 200 J / 98
m ≈ 2.04 kg
Rounded to the nearest whole number, the mass of the object is approximately 2 kg.
Therefore, the correct answer is:
a) 2 kg
Given that the potential energy (PE) is 200 J and the height (h) is 10 m, we can rearrange the equation to solve for the mass (m):
PE = mgh
200 J = m * 9.8 m/s^2 * 10 m
Simplifying the equation, we have:
200 J = 98 m
Dividing both sides of the equation by 98, we find:
m = 200 J / 98
m ≈ 2.04 kg
Rounded to the nearest whole number, the mass of the object is approximately 2 kg.
Therefore, the correct answer is:
a) 2 kg