I ONLY NEED PART B ANSWERED! A tennis ball of mass 57.0 g is held just above a b

Question

I ONLY NEED PART B ANSWERED! A tennis ball of mass 57.0 g is held just above a basketball of mass 607 g. With their centers vertically aligned, both balls are released from rest at the same time, to fall through a distance of 1.40 m, as shown in the figure below. (a) Find the magnitude of the downward velocity with which the basketball reaches the ground. 5.24 m/s (b) Assume that an elastic collision with the ground instantaneously reverses the velocity of the basketball while the tennis ball is still moving down. Next, the two balls meet in an elastic collision. To what height does the tennis ball rebound?

Explanation / Answer

the momentum will be conserved

so p_ initial = (607 - 57)*5.24 =2882 = p -final = 607 Vb - 57Vt

also since the collision is elastic coefficient of restitution = 1

so 2* 5.24 = vt - vb so vt - vb = 10.48

solving the two equations :

(vt - 10.48)607 -57vt = 2882

550vt- 6361.36 =2882

vt= 16.806 m/s

so the height it will reach can be found be sing equation :

v^2 = u^2 - 2gs

v=0 , u = 16.806

so s = (16.806^2 )/ (2*9.8) = 14.41 m

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