Question

for the situation in part b, at what position along the barrel does the ball have the greatest speed? (in this case, the maximum speed does not occur at the end of the barrel.

Answer 1

The ball will have the greatest speed at the point where its kinetic energy is the highest. To find this position along the barrel, calculate the potential energy at point A and the kinetic energy at point B, then compare them.

Step-by-step explanation:

The ball will have the greatest speed at the point where its kinetic energy is the highest. In this case, the maximum speed does not occur at the end of the barrel. To find the position along the barrel where the ball has the greatest speed, we need to calculate the kinetic energy at different points and compare them.

1. Calculate the potential energy of the ball at point A using the formula: PE = mgh, where m is the mass of the ball, g is the acceleration due to gravity, and h is the height of point A.
2. Calculate the kinetic energy of the ball at point B using the formula: KE = (1/2)mv^2, where m is the mass of the ball and v is its velocity at point B.
3. Compare the kinetic energies calculated at different points along the barrel to find the position where the ball has the greatest speed.