An oscillator of mass is at rest in its equilibrium position in a potential

PHYSICS · Single correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

An oscillator of mass

M

is at rest in its equilibrium position in a potential

V = \frac{1}{2}k(x - X)^2

. A particle of mass

m

comes from right with speed

u

and collides completely inelastically with

M

and sticks to it. This process repeats every time the oscillator crosses its equilibrium position. The amplitude of oscillations after 13 collisions is: (

M = 10

m = 5

u = 1

k = 1

). (1)

\frac{1}{2}

(2)

\frac{1}{\sqrt{3}}

(3)

\frac{2}{3}

(4)

\sqrt{\frac{3}{5}}

Related theory

SHM Energy
Collisions
Conservation of momentum
Linear momentum
Elastic and inelastic collisions
Collisions in one dimension
Work, Energy and Power

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