Internal Work of a Ball Shot Through a Sand Bag

In summary, the problem involves a ball being shot straight down with a velocity of 44m/s, a mass of 0.09 kg, and a vertical distance of 18m. The ball encounters a sand bag and passes through it for a distance of 0.5m. The question asks for the internal work neglecting friction. To solve this, the equation -w=-mgh-.5mv^2 is used, where h is the vertical distance that gravity is doing work on the ball. The correct distance to use is 18m, as gravity continues to do work on the ball inside the bag.
  • #1
gamarrapaul
8
0
in the problem they give you V=44m/s, mass=.09 kg , and a vertical distance=18m
the problem states that a ball is shot straight down and at the distance 18m it encounters a sand bag the ball goes through the sand bag .5 m. they ask what is the internal work neglecting friction?
for this problem I have

-w=-mgh-.5mv^2

now I am confused for h do I use 18 m or 18.m ?
 
Last edited:
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  • #2
You use the distance over which gravity was doing work on the ball. Which is that?
 
  • #3
the distance that gravity is doing work on the ball will be 18m ??
 
  • #4
The distance gravity is doing work on the ball is the vertical distance that the ball moves. Gravity doesn't shut off inside the bag.
 
  • #5
oh so the distance will be 18.5m I thought that .5 was the distance that the internal force is acting on the object Work = F*d
 

FAQ: Internal Work of a Ball Shot Through a Sand Bag

1. How does the internal work of a ball shot through a sand bag affect its kinetic energy?

When a ball is shot through a sand bag, the sand particles in the bag will exert a force on the ball, causing it to slow down. This loss of kinetic energy is due to the internal work done by the sand particles on the ball.

2. Does the internal work of a ball shot through a sand bag depend on the velocity of the ball?

Yes, the internal work done by the sand particles will increase as the velocity of the ball increases. This is because the sand particles will exert a greater force on the ball when it is moving at a higher speed, causing it to lose more kinetic energy.

3. How does the density of the sand in the bag affect the internal work of the ball?

The density of the sand in the bag will affect the internal work of the ball by changing the amount of force that the sand particles exert on the ball. A denser sand will exert a greater force, resulting in a higher internal work and a greater loss of kinetic energy for the ball.

4. What other factors can influence the internal work of a ball shot through a sand bag?

The size and shape of the ball, as well as the type of sand used in the bag, can also affect the internal work of the ball. A larger or more irregularly shaped ball will experience a greater resistance from the sand particles, resulting in a higher internal work. The type of sand used may also have varying densities or levels of friction, which can impact the internal work of the ball.

5. How does the internal work of a ball shot through a sand bag relate to its final velocity?

The internal work of a ball shot through a sand bag will cause the ball to lose kinetic energy, resulting in a decrease in its final velocity. This is because the sand particles in the bag are doing work to oppose the movement of the ball, slowing it down and reducing its final speed.

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