A ball of mass $0.1 k g$ marks an elastic head on collision with a ball of unknown mass initially at rest. If $0.1 k g$ ball rebounds at one third of its original speed, what is mass of the other ball?

Open in App

Solution

$P_{i} = P_{f} \Rightarrow 0.1 \times v + 0 = - 0.1 \times \frac{v}{3} + m v^{1}$
$\Rightarrow 0.1 v \times 0.1 \frac{v}{3} = m v^{1}$
$e = 1 = \frac{v^{1} + v / 3}{v}$
$\Rightarrow v^{1} + \frac{v}{3} = v$
$∴ 0.1 \times \frac{4 v}{3} = m \times \frac{2 v}{3}$
$\Rightarrow m = 0.2 k g$
we get, $m = 0.2 k g .$

Suggest Corrections

Similar questions

Q. A ball of mass 0.1 kg makes an elastic head - on collision with a ball of unknown mass, initially at rest. If the 0.1 kg ball rebounds at one third of its original speed. What is the mass of the other ball?

If a ball of mass 1 kg makes a head-on collision with a ball of an unknown mass initially at rest such that the ball rebounds to one third of its original speed, what is the mass of the other ball?

Q. A ball P of mass 2 kg undergoes an elastic collision with another ball Q initially kept at rest. After the collision, ball P continues to move in its original direction with a speed one-fourth of its original speed. What is the mass of ball Q?

Q. A ball of mass

m

moving with speed

u

undergoes a head-on elastic collision with a ball of mass

n m

initially at rest, the ratio of the kinetic energies of the first ball to the second ball after collision is

Join BYJU'S Learning Program

A ball of mass 0.1kg marks an elastic head on collision with a ball of unknown mass initially at rest. If 0.1kg ball rebounds at one third of its original speed, what is mass of the other ball?

Pi=Pf⇒0.1×v+0=−0.1×v3+mv1⇒0.1v×0.1v3=mv1e=1=v1+v/3v⇒v1+v3=v∴0.1×4v3=m×2v3⇒m=0.2kgwe get, m=0.2kg.

A ball of mass $0.1 k g$ marks an elastic head on collision with a ball of unknown mass initially at rest. If $0.1 k g$ ball rebounds at one third of its original speed, what is mass of the other ball?