EASY

JEE Main

IMPORTANT

Earn 100

A ball of mass $4 kg$ , moving with a velocity of $10 {m s}^{- 1}$ , collides with a spring of length $8 m$ and force constant $100 N m^{- 1}$ . The length of the compressed spring is $x m$ . The value of $x$ , to the nearest integer, is ___ .

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Important Questions on Work, Energy and Power

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 24 Feb 2021 Shift 1>Q 29

A ball with a speed of

9 m s^{- 1}

collides with another identical ball at rest. After the collision, the direction of each ball makes an angle of

30 °

with the original direction. If the ratio of velocities of the balls after the collision is

x : y

, then what is the value of

x

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 24 Feb 2021 Shift 2>Q 30

Two solids

A

and

B

of mass

1 kg

and

2 kg

respectively are moving with equal linear momentum. The ratio of their kinetic energies

{(K . E .)}_{A} : {(K . E .)}_{B}

will be

\frac{A}{1},

so the value of

A

will be _________.

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 25 Feb 2021 Shift 1>Q 31

The potential energy

(U)

of a diatomic molecule is a function dependent on

r

(interatomic distance) as

U = \frac{α}{r^{10}} - \frac{β}{r^{5}} - 3

where,

α

and

β

are positive constants. The equilibrium distance between two atoms will be

{(\frac{2 α}{β})}^{\frac{1}{a}},

where

a =

______ .

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 25 Feb 2021 Shift 1>Q 32

A small bob tied at one end of a thin string of length

1 m

is describing a vertical circle so that the maximum and minimum tension in the string is in the ratio

5 : 1

. The velocity of the bob at the highest position is ______

m s^{- 1}

. (Take

g = 10 m s^{- 2}

)

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 25 Feb 2021 Shift 2>Q 33

Two particles having masses

4 g

and

16 g

respectively are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentum is

n : 2

. What is the value of

n

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 26 Feb 2021 Shift 1>Q 34

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Body $P$ having mass $M$ moving with speed $u$ has head-on collision elastically with another body $Q$ having mass $m$ initially at rest. If $m ≪ M$ , body $Q$ will have a maximum speed equal to $2 u$ after collision.

Reason R : During elastic collision, the momentum and kinetic energy are both conserved.

In the light of the above statements, choose the most appropriate answer from the options given below:

MEDIUM

JEE Main

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 2 September 2020 Shift 1>Q 35

A particle of mass

m

with an initial velocity

u \hat{i}

collides perfectly elastically with a mass

3 m

at rest. It moves with a velocity

v \hat{j}

after collision, then,

v

is given by

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 4 - Work, Energy and Power>JEE Main - 2 September 2020 Shift 1>Q 36

A small block starts slipping down from a point $B$ on an inclined plane $A B$ , which is making an angle $θ$ with the horizontal section $B C$ is smooth and the remaining section $C A$ is rough with a coefficient of friction $μ$ . It is found that the block comes to rest as it reaches the bottom (point A) of the inclined plane. If $B C = 2 A C$ , the coefficient of friction is given by $μ = k tanθ$ . The value of $k$ is .......

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A ball of mass 4 kg, moving with a velocity of 10 m s-1, collides with a spring of length 8 m and force constant 100 N m-1. The length of the compressed spring is x m. The value of x, to the nearest integer, is ___ .

Important Questions on Work, Energy and Power

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A ball of mass $4 kg$ , moving with a velocity of $10 {m s}^{- 1}$ , collides with a spring of length $8 m$ and force constant $100 N m^{- 1}$ . The length of the compressed spring is $x m$ . The value of $x$ , to the nearest integer, is ___ .