PartC Constants Find Jy, the y component of the impulse imparted to the ball dur
ID: 2031781 • Letter: P
Question
PartC Constants Find Jy, the y component of the impulse imparted to the ball during the collision. Express your answer numerically, to two significant figures. As shown in the figure (Figure 1), a superball with mass m equal to 50 grams is dropped from a height of hi 1.5 m.It collides with a table, then bounces up to a height of h 1.0 m. The duration of the collision the time during which the superball is in contact with the table) is tc 15 ms. In this problem, take the positive y direction to be upward, and use g 9.8 m/s2 for the magnitude of the acceleration due to gravity. Neglect air resistance View Available Hint(s) kg-m/s SubmitP ous Answe X Incorrect; Try Again; 9 attempts remaining Part D Find the y component of the time-averaged force Favg.y. in newtons, that the table exerts on the ball. Express your answer numerically, to two significant figures. View Available Hint(s) avsy Submit Figure 1 of 1 X Incorrect; Try Again; 8 attempts remaining Before During After PartE Find Kafter - Kbefore, the change in the kinetic energy of the ball during the collision, in joules. Express your answer numerically, to two significant figures. View Available Hint(s) K after-Kbefore-Explanation / Answer
Taking y-upward as positive, the momentum just before collision is
p1 = m v = - m sqrt(2 g h0)
The momentum just after collision (needed to reach a height h) is
p2 = m sqrt(2 g h)
So the change in momentum is (which is the momentum imparted to the ball by the table)
Delta(p) = p2 - p1 = m (sqrt(2 g h0) + sqrt(2 g h) )
= 0.050 kg * ( sqrt( 2 * 9.81 m/s^2 * 1.5 m) + sqrt( 2 * 9.81 m/s^2 * 1.0 m) )
= 0.49 kg m/s
The time-averaged force is
F = Delta(p)/Delta(t) = 0.493 kg m/s / (0.015 s) = 33 N