A body A of mass m is moving in a circular orbit of radius R about a planet. Another body B of mass m 2 collides with A with a velocity which is half v → 2 the instantaneous velocity v → of A. The collision is completely inelastic. Then, the combined body:

starts moving in an elliptical orbit around the planet

continues to move in a circular orbit

Escapes from the Planet's Gravitational field

Falls vertically downwards towards the planet

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A particle of mass $m$ is dropped from a height $h$ above the ground. At the same time another particle of the same mass is thrown vertically upwards from the ground with a speed of $\sqrt{2 g h} .$ If they collide head-on completely inelastically, the time taken for the combined mass to reach the ground, in units of $\sqrt{\frac{h}{g}}$ is:

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Important Questions on Work, Energy and Power

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JEE Main

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 9th January 2020 Shift 1>Q 54

Consider a force

\vec{F} = - x \hat{i} + y \hat{j}

. The work done by this force in moving a particle from point

A (1,0)

B (0,1)

along the line segment is : (all quantities are in SI units)

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JEE Main

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 9th January 2020 Shift 1>Q 55

Two particles of equal mass

m

have respective initial velocities

u \hat{i}

and

u (\frac{\hat{i} + \hat{j}}{2})

. They collide completely inelastically. The energy lost in the process is:

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JEE Main

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 9th January 2020 Shift 1>Q 56

A body A of mass

m

is moving in a circular orbit of radius

R

about a planet. Another body B of mass

\frac{m}{2}

collides with A with a velocity which is half

(\frac{\vec{v}}{2})

the instantaneous velocity

\vec{v}

of A. The collision is completely inelastic. Then, the combined body:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 9th January 2020 Shift 2>Q 57

A particle of mass m is projected with a speed u from the ground at an angle

θ = \frac{π}{3}

w.r.t. horizontal (x-axis). When it has reached its maximum height, it collides completely inelastically with another particle of the same mass and velocity

u \hat{i} .

The horizontal distance covered by the combined mass before reaching the ground is:

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 9th April 2019 Shift 1>Q 58

A body of mass

2 k g

makes an elastic collision with a second body at rest and continues to move in the original direction but with one fourth of its original speed. What is the mass of the second body?

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 9th April 2019 Shift 2>Q 59

A particle of mass

m

is moving with speed

2 v

and collides with a mass

2 m

moving with speed

v

in the same direction. After the collision, the first mass is stopped completely while the second one splits into two particles each of mass

m,

which move at an angle

45^{o}

with respect to the original direction. The speed of each of the moving particle will be

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 9th January 2019 Shift 1>Q 60

Three blocks

A, B

and

C

are lying on a smooth horizontal surface, as shown in the figure.

A

and

B

have equal masses

m

while

C

has mass

M

. Block

A

is given an initial speed

v

towards

B

due to which it collides with

B

perfectly inelastically. The combined mass collides with

C

, also perfectly inelastically.

\frac{5}{6} t h

of the initial kinetic energy is lost in the whole process. What is the value of

M / m

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 9th January 2019 Shift 1>Q 61

A block of mass

m,

lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant

k .

The other end of the spring is fixed, as shown in the figure. The block is initially at rest in its equilibrium position. If now the block is pulled with a constant force

F,

the maximum speed of the block is:
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Important Questions on Work, Energy and Power

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