a ball with massm = 0.341 kg attached to the end of a thin rodwith length L = 0.452 m and negligible mass.The other end of the rod is pivoted so that theball can move in a vertical circle. The rod isheld horizontally as shown and then givenenough of a downward push to cause theball to swing down and around and just reachthe vertically up position, with zero speedthere. How much work is done on the ball bythe gravitational force from the initial point to (a) the lowest point, (b) the highest point, and (c) the point onthe right level with the initial point? If the gravitational potentialenergy of the ball–Earth system is taken to be zero at the initialpoint, what is it when the ball reaches (d) the lowest point, (e) thehighest point, and (f) the point on the right level with the initialpoint? (g) Suppose the rod were pushed harder so that the ballpassed through the highest point with a nonzero speed.Would Ugfrom the lowest point to the highest point then be greater than, lessthan, or the same as it was when the ball stopped at the highestpoint?
a ball with mass
m = 0.341 kg attached to the end of a thin rod
with length L = 0.452 m and negligible mass.
The other end of the rod is pivoted so that the
ball can move in a vertical circle. The rod is
held horizontally as shown and then given
enough of a downward push to cause the
ball to swing down and around and just reach
the vertically up position, with zero speed
there. How much work is done on the ball by
the gravitational force from the initial point to (a) the lowest point, (b) the highest point, and (c) the point on
the right level with the initial point? If the gravitational potential
energy of the ball–Earth system is taken to be zero at the initial
point, what is it when the ball reaches (d) the lowest point, (e) the
highest point, and (f) the point on the right level with the initial
point? (g) Suppose the rod were pushed harder so that the ball
passed through the highest point with a nonzero speed.Would Ug
from the lowest point to the highest point then be greater than, less
than, or the same as it was when the ball stopped at the highest
point?
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