(1)To make a bounce pass, a player throws a 0.70-kgbasketball toward the floor.

Question

(1)To make a bounce pass, a player throws a 0.70-kgbasketball toward the floor. The ball hits the floor with a speed of 5.1m/s at an angle of 65? to the vertical.

If the ball rebounds with the same speed and angle, what was the magnitude of the impulse delivered to it by the floor? J=    kg?m/s  

(2)Two groups of canoeists meet in the middle of a lake. After a brief visit, a person in canoe 1 pushes on canoe 2 to separate the canoes. Suppose the speeds of the two canoes after they are pushed apart are 0.62m/s for canoe 1 and 0.42m/s for canoe 2.

If the mass of canoe 1 is 310kg , what is the mass of canoe 2? M2=?

Explanation / Answer

Here ,

1)

in the direction perpendicular to floor ,

Vyi = -5.1cos(65)

Vyi = -2.16 m/s

final velocity,

Vyf = 5.1cos(65)

Vyf = 2.16 m/s

magnitude of impulse = change in momentum

magnitude of impulse = 0.7 *(2.16 - (-2.16))

magnitude of impulse = 3.02 Kg.m/s

the magnitude of impulse is 3.02 Kg.m/s

2)

Here, using conservation of momentum ,

M1 *V1 + M2*V2 = 0

0.62 * 310 - M2 * 0.42 = 0

M2 = 457.6 Kg

the mass of canoe 2 is 457.6 kg

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