The gravitational potential energy of an object is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height above the ground.

In this problem, we are not given the mass of the object, but we are given the change in height (from 3 m to 8 m, a change of 5 m). We also know that the acceleration due to gravity on Earth is approximately 9.8 m/s^2.

However, we don't need to know the mass of the object to answer this question, because we're asked for the change in gravitational potential energy, not the absolute amount. The change in gravitational potential energy is given by the change in height (5 m) times the weight of the object. The weight of the object is the force of gravity on it, which is its mass times the acceleration due to gravity.

So, the change in gravitational potential energy is (mass of the object) * (acceleration due to gravity) * (change in height).

Since we're not given the mass of the object, we can't calculate a numerical answer. But we can say that the gravitational potential energy increases, because the object is being raised higher above the ground.

So the answer is either B, C, or D. Without knowing the mass of the object, we can't say which one is correct.

However, the problem also tells us that "15 joules of work are done by forces other than gravity". This work would increase the total energy of the object, which includes its gravitational potential energy. So, if only 15 joules of work were done, and some of that work went into increasing the object's kinetic energy (its energy of motion), then the increase in gravitational potential energy must be less than 15 joules.

So the answer is B: the gravitational potential energy of the object increases by 5 joules.

Question

The gravitational potential energy of an object is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height above the ground.

In this problem, we are not given the mass of the object, but we are given the change in height (from 3 m to 8 m, a change of 5 m). We also know that the acceleration due to gravity on Earth is approximately 9.8 m/s^2.

However, we don't need to know the mass of the object to answer this question, because we're asked for the change in gravitational potential energy, not the absolute amount. The change in gravitational potential energy is given by the change in height (5 m) times the weight of the object. The weight of the object is the force of gravity on it, which is its mass times the acceleration due to gravity.

So, the change in gravitational potential energy is (mass of the object) * (acceleration due to gravity) * (change in height).

Since we're not given the mass of the object, we can't calculate a numerical answer. But we can say that the gravitational potential energy increases, because the object is being raised higher above the ground.

So the answer is either B, C, or D. Without knowing the mass of the object, we can't say which one is correct.

However, the problem also tells us that "15 joules of work are done by forces other than gravity". This work would increase the total energy of the object, which includes its gravitational potential energy. So, if only 15 joules of work were done, and some of that work went into increasing the object's kinetic energy (its energy of motion), then the increase in gravitational potential energy must be less than 15 joules.

So the answer is B: the gravitational potential energy of the object increases by 5 joules.

Knowee AI · Accepted Answer