A student lifts a 1.2 kg bag from her desk, which is 0.59 m high, to a locker that is 2.9 m high. What is the gravitational potential energy of the bag relative to the desk?
PE=mgh
1.2(9.80)(2.9)
= 34.1
PE=mgh
=(1.2)(9.8)(2.9-.59)
= 27.17J
A student lifts a 4.7-kg box from the her desk, which is 0.9-m high, to a locker that is 4.1-m high. What is the bags energy relative to the desk?
To calculate the gravitational potential energy of the bag relative to the desk, you can use the formula PE = mgh, where PE is the gravitational potential energy, m is the mass of the bag, g is the acceleration due to gravity, and h is the height difference between the desk and the locker.
Given:
m (mass of the bag) = 1.2 kg
g (acceleration due to gravity) = 9.8 m/s^2
h (height difference) = 2.9 - 0.59 = 2.31 m
Substituting the values into the formula:
PE = 1.2 kg * 9.8 m/s^2 * 2.31 m
Calculating the expression:
PE = 27.288 J
Therefore, the gravitational potential energy of the bag relative to the desk is 27.288 J.
To calculate the gravitational potential energy of the bag relative to the desk, you can use the formula:
PE = mgh
where PE is the gravitational potential energy, m is the mass of the bag, g is the acceleration due to gravity, and h is the height difference between the desk and the locker.
In this case, the mass of the bag is given as 1.2 kg, the acceleration due to gravity on Earth is approximately 9.8 m/s^2, and the height difference between the desk and the locker is 2.9 m.
Substituting these values into the formula, we get:
PE = 1.2 kg * 9.8 m/s^2 * 2.9 m
Calculating this expression gives us:
PE = 34.1 Joules
Therefore, the gravitational potential energy of the bag relative to the desk is 34.1 Joules.