Momentum and collisions Quiz 1

Question 1

An aeroplane flying at the speed of $$300	ext{ m/s}$$ lands on a warship of mass $$50$$ tonnes. If the mass of the aeroplane is $$1$$ tone, and initially the warship was moving with a speed of $$60	ext{ m/s}$$ in a direction opposite to the aeroplane before landing. What is the speed of the warship after the landing? Take the resistance offered by water to be negligible.

Accepted Answer

$$53$$ $$m{{s}^{-1}}$$

Answer

$$50$$ $$m{{s}^{-1}}$$

Answer

$$52$$ $$m{{s}^{-1}}$$

Answer

$$51$$ $$m{{s}^{-1}}$$

Question 2

A bomb of mass $$M$$ once launched from the ground at an angle $$''	heta ''$$ with velocity $$''V''$$, explodes suddenly into two parts at the maximum height. Both parts have equal mass and travel with equal speed $$V'$$. Is it possible that one part continues to go along the initial direction while the other moves in the opposite direction?

Accepted Answer

No, it’s not possible

Answer

Yes it’s possible

Answer

Data insufficient

Answer

All of these are correct

Question 3

An object of mass $$\left( m ight)$$ is tied with a massless rod of length $$\left( L ight)$$ as shown in the figure. When it is released from its position it strikes an identical mass $$\left( m ight)$$  elastically on the ground. The velocity of mass on the ground after collision is $$ \ $$ <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/7a0cef0d-5c41-4c11-8a3d-13b251d3a5e01144612890374196241.png"/>

Accepted Answer

$$\sqrt{2gL}$$

Answer

$$\sqrt{\dfrac{gL}{2}}$$

Answer

$$\dfrac{\sqrt{3}}{2}gL $$

Answer

Zero

Question 4

A body of mass $$\left( m \right)$$ and velocity $$V$$ strikes another body of mass $$\left( 4m \right)$$ pure inelastically. The loss in kinetic energy is

Accepted Answer

$$80\%$$

Answer

$$75\%$$

Answer

$$90\%$$

Answer

$$60\%$$

Question 5

In a given arrangement, a block is placed on the top most position of inclined surface of wedge of mass $$2\,m$$.The angle of inclination is $$	heta =60{}^\circ $$, if height of the wedge is $$H$$ then find its velocity when the block of mass $$\left( m ight)$$ reaches ground after slipping without any friction is $$ \ $$ <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/db79ba0f-6f0a-4674-b32d-f1aeef2d6dbd8565314806947266787.png"/>

Accepted Answer

$$\dfrac{4}{3}\sqrt{gH}$$

Answer

$$\sqrt{\dfrac{gH}{3}}$$

Answer

$$\dfrac{\sqrt{3gH}}{2}$$

Answer

$$\sqrt{gH}$$