Center of MassHard

Question

A ball of mass 50 gm is dropped from a height h = 10 m. It rebounds losing 75 percent of its kinetic energy. If it remains in contact with the ground for ᐃt = 0.01 sec., the impulse of the impact force is : (take g = 10 m/s2)

Options

A.1.3 N−s
B.1.06 N−s
C.1300 N−s
D.105 N−s

Solution

v1 = k2 = k1 ⇒ v22 = v12
∴ v2 = = 5√2
|ᐃP| = |-mv2 - (mv1)| = m |-v2 - v1|
|ᐃP| = 50 × 10-3 × × 10 √2 =
J = ᐃP = 1.05N-s.

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