Equal to change in the momentum of a body

Equal to rate of change of momentum of a body

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Three stationary particles $A, B, C$ of masses $m_{A}, m_{B}$ and $m_{C}$ are under the action of same constant force for the same time. If $m_{A} > m_{B} > m_{C}$ , the variation of momentum of particles with time for each will be correctly shown as

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Important Questions on Force

MEDIUM

Science>Physics>Force>Newton's Laws of Motion

A particle of mass

m

moving with a velocity

u

makes an elastic one dimensional collision with a stationary particle of mass

m

establishing a contact with it for extremely small time

T

. Their force of contact increases from zero to

F_{0}

linearly in time

\frac{T}{4}

, remains constant for a further time

\frac{T}{2}

and decreases linearly from

F_{0}

to zero in further time

\frac{T}{4}

as shown in figure. The magnitude possessed by

F_{0}

is,

EASY

Science>Physics>Force>Newton's Laws of Motion

Consider the following statement. When jumping from some height, you should bend your knees as you come to rest instead of keeping your legs stiff. Which of the following relations can be useful in explaining the statement?

MEDIUM

Science>Physics>Force>Newton's Laws of Motion

A block of the mass of $1 kg$ is moving on the $x$ -axis. A force $F$ acting on the block is shown. The velocity of the block at time $t = 2 s$ is $- 3 m s^{- 1}$ . What is the speed of the block at time $t = 4 s$ ?

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EASY

Science>Physics>Force>Newton's Laws of Motion

The position-time graph of a particle of mass

0.1 kg

is as shown in the figure. The impulse at

t = 2 s

HARD

Science>Physics>Force>Newton's Laws of Motion

At time $t$ second, a particle of mass 3 kg has position vector $\vec{r}$ metre, where $\vec{r} = 3 t \hat{i} - 4 \cos t \hat{j} .$ The impulse of the force during the time interval $0 \leq t \leq \frac{π}{2}$ is -

EASY

Science>Physics>Force>Newton's Laws of Motion

A golf ball of mass 0.05 kg placed on a tee, is struck by a golf club. The speed of the golf ball as it leaves the tee is

100 m s^{- 1}

, the time of contact between them is 0.02 s. If the force decreases to zero linearly with time, then the average force during the contact is

MEDIUM

Science>Physics>Force>Newton's Laws of Motion

A ball of mass

m

strikes a rigid wall with speed

u

at an angle of

30 °

with the normal and gets reflected with the same speed and at the same angle, as shown in the figure. If the ball is in contact with the wall for time

t

, then the force experienced by the wall is:
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MEDIUM

Science>Physics>Force>Newton's Laws of Motion

Two particles of masses

m_{1}

and

m_{2}

in projectile motion have velocities

{\vec{v}}_{1}

and

{\vec{v}}_{2}

respectively at time

t = 0

. They collide at time

t_{0}

. Their velocities become

{\vec{v}'}_{1}

and

{\vec{v}'}_{2}

at time

2 t_{0}

while still moving in air. The value of

[(m_{1} {\vec{v}'}_{1} + m_{2} {\vec{v}'}_{2}) - (m_{1} {\vec{v}}_{1} - m_{2} {\vec{v}}_{2})]

MEDIUM

Science>Physics>Force>Newton's Laws of Motion

Impulse is

EASY

Science>Physics>Force>Newton's Laws of Motion

A particle of mass

m

is moving with a uniform velocity

ν_{1}

. It is given an impulse such that its velocity becomes

ν_{2}

. The impulse is equal to

EASY

Science>Physics>Force>Newton's Laws of Motion

A player caught a cricket ball of mass

150 g

moving at a rate of

20 m s^{- 1}

. If the catching process is completed in

0.1 s

, the force of the blow exerted by the ball on the hand of the player is equal to

EASY

Science>Physics>Force>Newton's Laws of Motion

A particle of mass m is moving with a uniform velocity $v_{1} .$ It is given an impulse such that its velocity becomes $v_{2} .$ The impulse is equal to :

EASY

Science>Physics>Force>Newton's Laws of Motion

A particle of mass 2 kg is initially at rest. A force acts on it whose magnitude changes with time. The force- time graph is shown below

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The velocity of the particle after 10 s is

HARD

Science>Physics>Force>Newton's Laws of Motion

A ball of mass

m

is moving towards a batsman at a speed

v

. The batsman strikes the ball and deflects it by an angle

θ

, without changing its speed. The impulse to the ball is given by

EASY

Science>Physics>Force>Newton's Laws of Motion

A particle of mass m is moving with a uniform velocity $v_{1} .$ It is given an impulse such that its velocity becomes $v_{2} .$ The impulse is equal to :

EASY

Science>Physics>Force>Newton's Laws of Motion

A ball of mass

0.2 kg

is thrown normally against a wall with a speed of

20 m s^{- 1}

. It rebounds normally with a speed of

15 {ms}^{- 1}

. The impulse of the force by the ball on the wall is

HARD

Science>Physics>Force>Newton's Laws of Motion

A ball of mass

1 k g

strikes a wedge of mass

4 k g

horizontally with a velocity of

10 m s^{- 1}

. Just after collision, velocity of wedge becomes

4 m s^{- 1}

. Friction is absent everywhere and collision is elastic. Select the correct alternative.

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MEDIUM

Science>Physics>Force>Newton's Laws of Motion

Consider a body, shown in diagram, consisting of two identical balls, each of mass

M

connected by a light rigid rod. If an impulse

J = M v

is imparted to the body at one of its ends, what would be its angular velocity?

Question Image

MEDIUM

Science>Physics>Force>Newton's Laws of Motion

Two balls of masses 1 kg each are connected by an inextensible massless string. The system is resting on a smooth horizontal surface. An impulse of 10 Ns is applied to one of the balls at an angle 30^o with the line joining two balls is horizontal direction as shown in the diagram. Assuming that the string remains taut after the impulse is,

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EASY

Science>Physics>Force>Newton's Laws of Motion

A particle of mass

m = 9 \times 10^{- 31}

kg moving towards the wall of a vessel at a velocity of

v = 600 {m s}^{- 1}

strikes it at an angle of

60 °

to the normal and rebounds at the same angle at the same speed. The impulse of the force experienced by the wall during the impact is -

Three stationary particles A,B,C of masses mA,mB and mC are under the action of same constant force for the same time. If mA>mB>mC, the variation of momentum of particles with time for each will be correctly shown as

Important Questions on Force

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Three stationary particles $A, B, C$ of masses $m_{A}, m_{B}$ and $m_{C}$ are under the action of same constant force for the same time. If $m_{A} > m_{B} > m_{C}$ , the variation of momentum of particles with time for each will be correctly shown as