Question 271: Centre of Mass and Rotational Motion

Question

A bullet of 10 g, moving with velocity v, collides head-on with the stationary bob of a pendulum and recoils with velocity 100 m/s. The length of the pendulum is 0.5 m and mass of the bob is 1 kg. The minimum value of v = ____________ m/s so that the pendulum describes a circle. (Assume the string to be inextensible and g = 10 m/s
2
)

Accepted Answer

$$V' = \sqrt {5gR}  = \sqrt {5 	imes 10 	imes 0.5} $$
V' = 5 m/s
m
1
V = m
2
$$	imes$$ 5 $$-$$ m
1
$$	imes$$ 100
$${{10} \over {1000}} 	imes V = 5 - {{10} \over {1000}} 	imes 100$$
V = 400 m/s

Centre of Mass and Rotational Motion

Integer / Numeric Answer Type