A particle moving in the xy -plane experiences a velocity dependent force F → = k υ y i ^ + υ x j ^ , where υ x and υ y are the x and y components of its velocity υ → . If a → is the acceleration of the particle, then which of the following statements is true for the particle ?

quantity υ → × a → is constant in time

F → arises due to a magnetic field

kinetic energy of particle is constant in time

quantity υ → . a → is constant in time

EASY

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Is force a vector quantity True or false?

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Important Questions on Laws of Motion

EASY

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

A force of

0.03 N

acts on a body of mass

0.5 kg

, which is initially at rest, for a duration of

10

seconds. Then find the momentum acquired by the body.

EASY

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

The time taken by a force of

2 N

to produce a change of momentum of

0.4 kg m s^{- 1}

in a

EASY

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

The pair with same dimension is ___.

HARD

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

A ball of mass

0.45 kg

which is initially at rest is hit by a bat. The bat remains in contact with the ball for

3 \times 10^{- 3} s

. During this time period the force on the ball by the bat is given as

F (t) = [(α \times 10^{6}) t - (β \times 10^{9}) t^{2}] N

where

α

and

β

are constants. The ball's speed immediately as it loses contact with the bat is

20 m s^{- 1}

. The correct relation between

α

and

β

EASY

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

A machine gun has a mass

5 kg

. It fires

50

gram bullets at the rate of

30

bullets per minute at a speed of

400 m s^{- 1} .

What force is required to keep the gun in position?

MEDIUM

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

Two horizontal forces

{\vec{F}}_{1}

and

{\vec{F}}_{2}

act on a ball of mass

8 kg

. The forces are such that

{\vec{F}}_{1} = (14 N) \hat{i}

and

|{\vec{F}}_{2}| = 20 N

. If the

x

component of velocity

(v_{x})

changes linearly by

3 m s^{- 1}

1 \sec

, the angle between two forces is

MEDIUM

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

When will a body of mass

20 kg

moving at

15 m s^{- 1},

subjected to a retarding force of

100 N

, come to rest?

EASY

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

A tennis ball of mass

m

strikes a wall with a velocity

v

and retraces the same path. Calculate the change in momentum.

MEDIUM

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

A particle moving in the

xy

-plane experiences a velocity dependent force

\vec{F} = k (υ_{y} \hat{i} + υ_{x} \hat{j})

, where

υ_{x}

and

υ_{y}

are the

x

and

y

components of its velocity

\vec{υ}

. If

\vec{a}

is the acceleration of the particle, then which of the following statements is true for the particle ?

HARD

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

A body of mass

m

is moving in a straight line with momentum

p

. Starting at time

t = 0

, a force

F = a t

acts in the same direction on the moving particle during time interval of

T

. So that its momentum changes from

p

2 p

. The value of

T

HARD

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

The graph below shows the variation of a force $F$ with time $t$ on a body which is moving in a straight line. Dependence of force on time is $F \propto t^{n}$ . Initially body is at rest.

Question Image
If the speed of the object is $2 m / s$ at $3 s$ , then the speed at $4 s$ will be approximately (in $m / s$ )

HARD

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

A block of mass $5 k g$ is (i) pushed in case $(A)$ and (ii) pulled in case $(B),$ by a force $F = 20 N,$ making an angle of $30^{o}$ with the horizontal, as shown in the figures. The coefficient of friction between the block and floor is $μ = 0.2 .$ The difference between the accelerations of the block, in case $(B)$ and case $(A)$ will be:
$(g = 10 m s^{- 2})$
Question Image

MEDIUM

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

A man throws a ball of mass

3.0 kg

with speed of

5.0 m s^{- 1}

. His hand is in contact with the ball for

0.2 s

. If he throws

4

balls in

2

seconds, the average force exerted by him in

1

second is

EASY

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

A machine gun can fire

200 bullets \min^{- 1}

. If

35 g

bullets are fired at a speed of

750 m s^{- 1}

, the average force exerted by the gun on the bullets is,

EASY

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

A particle is moving in a circle with uniform speed

v

. In moving from a point to another diametrically opposite point

EASY

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

A man weighing

70 kg,

riding a motorbike weighing

230 kg

54 km h^{- 1}

accelerates at

1 m s^{- 2}

, when suddenly a child rushes into the road. The rider manages to apply brakes screeching to bring his vehicle to a halt in

3 s,

just in time to save the child. What should have been the average retarding force on the vehicle?

EASY

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

A monkey of mass

40 kg

climbs up a rope which can stand a maximum tension of

600 N

.The rope will break when the monkey

MEDIUM

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

The force on a body of mass

1 kg

(20 \hat{i} + 10 \hat{j}) N

. If it starts from rest, then the position of the body at time

t = 2 s,

HARD

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

A ball is thrown upward with an initial velocity

V_{0}

from the surface of the earth. The motion of the ball is affected by a drag force equal to

m γ v^{2}

(where

m

is mass of the ball,

v

is its instantaneous velocity and

γ

is a constant). Time taken by the ball to rise to its zenith is:

MEDIUM

Physics>Mechanics>Laws of Motion>Newton's Second Law of Motion

An elevator of mass

m

is connected to a rope which pulls the elevator up with a maximum acceleration equal to

a

. If the maximum bearable tension in the rope is

T

, then for a safe journey the minimum diameter of the rope is [

g

= acceleration due to gravity]

Is force a vector quantity True or false?

Important Questions on Laws of Motion

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