Answer:
Explanation:
We shall apply law of conservation of momentum to calculate the common velocity of pendulum and bullet after collision
m v = ( m + M ) V
m is mass of bullet M is mass of pendulum , v is velocity of bullet and V is their final velocity after collision.
V = m v / ( m + M )
= .030 x 185 / 3.18
= 1.745 m /s
The kinetic energy of bullet+pendulum will be converted into potential energy.
1/2 (m+M) V² = ( m + M ) g h
h is height by which pendulum and bullet rises after collision
Putting the values
.5 x 3.18 x 1.745² = 3.18 x 9.8 x h
h = .155 m
If θ be the angle that the pendulum is making at deflected position
l - lcosθ = h , l is length of pendulum
2.85 ( 1 - cosθ) = .155
1 - cosθ = .054
cosθ = .946
θ = 19 degree
Horizontal displacement = 2.85 sin 19
= .9278 m
92.78 cm
