Question

# A smooth sphere of mass $$m$$ is moving on a horizontal plane with a velocity $$3\hat{i}\, +\, \hat{j}$$. It collides with a vertical wall which is parallel to the vector $$\hat{j}$$. If the coefficient of restitution between the sphere and the wall is $$\displaystyle \frac{1}{2}$$, find the loss in kinetic energy caused by the impact.

A
278m
B
827m
C
278m
D
827m

Solution

## The correct option is A $$\dfrac{27}{8}m$$Initial velocity is $$3\hat{i}+\hat{j}$$, its magnitude is $$\sqrt10$$.As vertical wall is along $$\hat{j}$$, the impact act on horizontal velocity, so final velocity is $$-3\hat{i}/2 + \hat{j}$$. Its magnitude is $$\sqrt{13/4}$$.Loss in kinetic energy is $$\dfrac{1}{2}m(10-13/4)=27/8 \ m$$Physics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More