A ball P of mass 0.5 kg moving with a veloci | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given: $m_1 = 0.5 \ kg$,$u_1 = 10 \ ms^{-1}$,$m_2 = 1 \ kg$,$u_2 = 0$,$e = 0.4$.The final velocities $v_1$ and $v_2$ after a one-dimensional colli

Vedclass · Accepted Answer

$1: 7$

Vedclass · Answer

(A) Given: $m_1 = 0.5 \ kg$,$u_1 = 10 \ ms^{-1}$,$m_2 = 1 \ kg$,$u_2 = 0$,$e = 0.4$.The final velocities $v_1$ and $v_2$ after a one-dimensional collision are given by:$v_1 = \left( \frac{m_1 - e m_2}{m_1 + m_2} ight) u_1 = \left( \frac{0.5 - 0.4 	imes 1}{0.5 + 1} ight) 	imes 10 = \left( \frac{0.1}{1.5} ight) 	imes 10 = \frac{1}{15} 	imes 10 = \frac{2}{3} \ ms^{-1}$.$v_2 = \frac{(1 + e) m_1 u_1}{m_1 + m_2} = \frac{(1 + 0.4) 	imes 0.5 	imes 10}{0.5 + 1} = \frac{1.4 	imes 5}{1.5} = \frac{7}{1.5} = \frac{14}{3} \ ms^{-1}$.The ratio of the velocities is $\frac{v_1}{v_2} = \frac{2/3}{14/3} = \frac{2}{14} = 1:7$.

$A$ ball $P$ of mass $0.5 \ kg$ moving with a velocity of $10 \ ms^{-1}$ collides with another ball $Q$ of mass $1 \ kg$ at rest. If the coefficient of restitution is $0.4$,the ratio of the velocities of the balls $P$ and $Q$ after the collision is

Similar Questions

Hail stones are observed to strike the surface of a frozen lake at $30^{\circ}$ with the vertical and rebound at $60^{\circ}$ with the vertical. Assuming the contact to be smooth,the coefficient of restitution is

$A$ tennis ball is released from height $h$ above ground level. If the ball makes an inelastic collision with the ground,to what height will it rise after the third collision?

$A$ ball is allowed to fall freely from a height of $42 \ m$ from the ground. If the coefficient of restitution between the ball and the ground is $0.4$,then the total distance travelled by the ball before it comes to rest is (in $m$)

$A$ $1.0 \ kg$ ball drops vertically onto a floor from a height of $25 \ cm$. It rebounds to a height of $4 \ cm$. The coefficient of restitution for the collision is

$A$ body falls from a height of $10 \ m$ onto the ground and rebounds to a height of $2.5 \ m$. Find the ratio of the velocity of the body just before the collision and just after the collision.

Vedclass Test Series

Exam Paper Generator

Online Exam Module