9.)Two blocks are free to slide along the frictionless wooden track shown below.

Question

9.)Two blocks are free to slide along the frictionless wooden track shown below. The block of mass m1 = 4.99 kg is released from the position shown, at height h = 5.00 m above the flat part of the track. Protruding from its front end is the north pole of a strong magnet, which repels the north pole of an identical magnet embedded in the back end of the block of mass m2 = 11.0 kg, initially at rest. The two blocks never touch. Calculate the maximum height to which m1 rises after the elastic collision.
m

15.)Romeo (81.0 kg) entertains Juliet (51.0 kg) by playing his guitar from the rear of their boat at rest in still water, 2.70 m away from Juliet, who is in the front of the boat. After the serenade, Juliet carefully moves to the rear of the boat (away from shore) to plant a kiss on Romeo's cheek. How far does the 77.0-kg boat move toward the shore it is facing?
m

Explanation / Answer

7)

By conservation of momentum,

Initial momentum = final momentum

(m1v1 + m2v2) = (m1 + m2) v'

=> v1 = [(m1 + m2) v' - m2v2]/m1

= [(0.0104 +5.09)*0.599 – 0]/0.0104

= 293.8 m/s (ans)

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