Work done by a person lifting and then throwing a ball

In summary, the problem involves lifting a 5kg ball from ground level to a height of 1.5 meters and then throwing it to a height of 10 meters. The work done on the ball includes both the lifting work and the throwing work, with the latter requiring a large force over a short distance to give the ball the necessary velocity. Therefore, the calculation provided only covers the lifting work and not the throwing work.
  • #1
Raios168
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If I lift a ball of mass 5 kg from ground level to 1.5 meters above ground level and then throw it from this point up to a height of 10 meters, what is the work done by me on the ball?

Is the following the correct way to solve this problem?

Person only applies force to the ball for 1.5 meters so the work he does is simply W = mgh = (5)(9.8)(1.5)

thanks in advance.
 
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  • #2
That calculation only covers the lifting work, not the throwing work. In throwing, you will have to apply a very large force over a short time and distance, in order to give it the velocity that will take it to a height of 10m. The distance is limited by how high the ball is when your hands lose contact with it - and hence cease applying force to it.
 
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1. What is work done by a person lifting and then throwing a ball?

The work done by a person lifting and then throwing a ball is the amount of energy required to move the ball from the ground to the point where it is thrown, plus the energy needed to throw the ball. It is a measure of the force applied and the distance over which it is applied.

2. How is work calculated in this scenario?

Work is calculated by multiplying the force applied to the ball by the distance over which it is applied. In this scenario, the force is the weight of the ball and the distance is the height at which it is lifted and the distance it is thrown.

3. Does the weight of the ball affect the work done?

Yes, the weight of the ball does affect the work done. The heavier the ball, the more force is required to lift it and throw it, resulting in more work being done.

4. How does the height at which the ball is lifted affect the work done?

The higher the ball is lifted, the more potential energy it has. This means that more work must be done to lift the ball to a higher height compared to a lower height, resulting in more work being done when the ball is lifted to a greater height.

5. What other factors can affect the work done by a person lifting and throwing a ball?

Aside from the weight and height of the ball, other factors that can affect the work done include the force and technique used to throw the ball, air resistance, and the surface over which the ball is thrown. These factors can impact the distance the ball is thrown and thus the total work done.

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