A ball of mass 200,g rests on a vertical post | vedclass

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

Question

(D) First,calculate the time taken by both objects to reach the ground from height $h = 20\,m$ using $h = \frac{1}{2}gt^2$:$t = \sqrt{\frac{2h}{g}} =

Vedclass · Accepted Answer

$360$

Vedclass · Answer

(D) First,calculate the time taken by both objects to reach the ground from height $h = 20\,m$ using $h = \frac{1}{2}gt^2$:$t = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2 	imes 20}{10}} = \sqrt{4} = 2\,s$.Let $v_1$ be the velocity of the ball and $v_2$ be the velocity of the bullet after the collision.For the ball: $v_1 = \frac{	ext{distance}}{	ext{time}} = \frac{30}{2} = 15\,m/s$.For the bullet: $v_2 = \frac{	ext{distance}}{	ext{time}} = \frac{120}{2} = 60\,m/s$.Using the law of conservation of linear momentum in the horizontal direction:$m_{bullet} u = m_{ball} v_1 + m_{bullet} v_2$$(0.01) u = (0.2)(15) + (0.01)(60)$$0.01 u = 3 + 0.6 = 3.6$$u = \frac{3.6}{0.01} = 360\,m/s$.

Similar Questions

$A$ mass $M$ moving with velocity $V$ along $X$-axis collides and sticks to another mass $2M$ which is moving along $Y$-axis with velocity $3V$. The velocity of the combination, after the collision is

$A$ cannon shell fired breaks into two equal parts at its highest point. If one part retraces its path to the cannon with kinetic energy $E_1$ and the kinetic energy of the second part is $E_2$,then

$A$ bomb of mass $9 \,kg$ explodes into two pieces of masses $3 \,kg$ and $6 \,kg$. The velocity of mass $3 \,kg$ is $16 \,m/s$. The kinetic energy of mass $6 \,kg$ in joule is

$A$ body of mass $1 \,kg$, initially at rest, explodes and breaks into three parts. The masses of the parts are in the ratio $1: 1: 3$. The two pieces of equal mass fly off perpendicular to each other with a speed of $30 \,m/s$ each. The velocity of the heavier part in $m/s$ is

The law of conservation of linear momentum is derived by using which of Newton's laws?

Vedclass Test Series

Exam Paper Generator

Online Exam Module