In which of these cases is a youngster doing work in the school gymnasium?

climbing up a rope

lifting a set of weights from the floor to overhead

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You know work is exercting some force for some distance IN the direction of the force. Isnt both of those exerting a force against gravity?

because

Yes, both climbing up a rope and lifting a set of weights from the floor to overhead involve exerting a force against gravity. In both cases, work is being done in the school gymnasium by the youngster.

Yes, both climbing up a rope and lifting a set of weights from the floor to overhead involve exerting a force against gravity. In physics, work is defined as the product of the force applied to an object and the distance over which the force is applied.

To determine which case involves a youngster doing work in the school gymnasium, you need to consider the direction of the force and the distance over which it is applied. In climbing up a rope, the force is exerted upwards against gravity, lifting the youngster's body weight over a certain vertical distance. This is an example of work being done.

Similarly, when lifting a set of weights from the floor to overhead, the force is also exerted against gravity, lifting the weights over a certain vertical distance. This is another example of work being done.

Therefore, both scenarios involve work being done in the school gymnasium by exerting a force against gravity.