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NEET • PHYSICS • LAWS OF MOTION

Laws of motion practice · Mixed difficulty

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Showing 1-30 of 245 questions

1 Medium

1 of 245

Analyzing +4 | -1

(A): Two solid cylinders of different masses and radii take same time to roll down an inclined plane without slipping.
(R): Moment of inertia of two solid cylinders of different masses and radii about their natural axes are different.

View answer and explanation

Correct option: B

Both (A) and (R) are true and (R) is not the correct explanation of (A)

Option B (Both (A) and (R) are true and (R) is not the correct explanation of (A)) is correct because the time to roll down depends on the moment of inertia's *distribution*, not just its value, and both cylinders have different moments of inertia.

2 Medium

2 of 245

Analyzing +4 | -1

Given below are two statements:

Statement I: An elevator can go up or down with uniform speed when its weight is balanced with the tension of its cable.

Statement II: Force exerted by the floor of an elevator on the foot of a person standing on it is more than his/her weight when the elevator goes down with increasing speed.

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

View answer and explanation

Correct option: A

Statement I is true but Statement II is false

Option A (Statement I is true but Statement II is false) is correct because an elevator can move at uniform speed when weight equals tension, but the force on a person's feet is *less* than their weight when descending with increasing speed.

3 Medium

3 of 245

Application +4 | -1

A particle is projected with a velocity

200\mathrm{\;m}{\mathrm{s}^{ - 1}}

at an angle of

{60^0}

. At the highest point, it explodes into three particles of equal masses. One goes vertically upwards with a velocity

100\mathrm{\;m}{\mathrm{s}^{ - 1}}

, the second particle goes vertically downwards. What is the velocity of third particle?

View answer and explanation

Correct option: C

300\,m{s^{ - 1}}

Option C (

300\\,m{s^{ - 1}}

) is correct because it is derived from applying the conservation of momentum at the highest point of the trajectory after the explosion.

4 Easy

4 of 245

Application +4 | -1

A loaded

20,000 \mathrm{~kg}

coal wagon is moving on a level track at

6 \mathrm{~ms}^{-1}

. Suddenly

5000 \mathrm{~kg}

of coal is dropped out of the wagon. The final speed of the wagon is

View answer and explanation

Correct option: A

6 \mathrm{~ms}^{-1}

Option A (

6 \mathrm{~ms}^{-1}

) is correct because there is no external force acting on the system in the horizontal direction, so the momentum remains constant. Since the coal is dropped vertically, it doesn't affect the wagon's horizontal velocity.

5 Medium

5 of 245

Understanding +4 | -1

Assertion : Mass is a measure of inertia of the body in linear motion.

Reason : Greater the mass, greater is the force required to change its state of rest or of uniform motion.

View answer and explanation

Correct option: A

Assertion is correct, reason is correct; reason is a correct explanation for assertion.

Option A is correct because Assertion is correct, reason is correct; reason is a correct explanation for assertion. Mass is directly related to inertia, and greater mass implies greater resistance to change in motion.

6 Medium

6 of 245

Analyzing +4 | -1

An air tight cage in which a bird is sitting is suspended from a spring balance. If the bird starts flying, then the reading of the balance will

View answer and explanation

Correct option: C

Decreases

Option D is correct because when the bird flies, it exerts a downward force equal to its weight on the air, which then exerts an equal and opposite force on the cage, effectively keeping the reading unchanged.

7 Easy

7 of 245

Application +4 | -1

The coefficient of static friction between contact surfaces of two bodies is

\frac{1}{{\sqrt 3 }}

. The contact surfaces of one body support the other till the inclination is less than

View answer and explanation

Correct option: B

30^\circ

Option B is correct because the tangent of the angle of inclination is equal to the coefficient of static friction, so

\tan{\theta} = \frac{1}{\sqrt{3}}

implies

\theta = 30°

8 Medium

8 of 245

Application +4 | -1

A stone is dropped from a height h. It hits the ground with a certain momentum p. If the same stone is dropped from a height 100% more than the previous height, the momentum when it hits the ground will change by

View answer and explanation

Correct option: B

0.41

Option B (0.41) is correct because the momentum is proportional to the square root of the height, and a 100% increase in height results in a

\sqrt{2}

increase in momentum, which is approximately a 0.41 change.

9 Medium

9 of 245

Understanding +4 | -1

For ordinary terrestrial experiments, the observer in an inertial frame in the following cases is

View answer and explanation

Correct option: B

A driver in a sport car moving with a constant high speed of

200\mathrm{km\;}{\mathrm{h}^{ - 1}}

on a straight rod

Option B is correct because an inertial frame is one that is not accelerating. A car moving at a constant high speed on a straight road approximates an inertial frame.

10 Easy

10 of 245

Application +4 | -1

A marble block of mass 3 kg lying on ice when given a velocity of 6 m/s it stopped by friction in 12 s. Then the coefficient of friction is

\left( {g = 10\,\,m/{s^2}} \right)

View answer and explanation

Correct option: A

0.05

The coefficient of friction is calculated using the kinematic equation to find the acceleration, and then using Newton's second law with the friction force. Therefore, the correct answer is A (0.05).

11 Medium

11 of 245

Analyzing +4 | -1

Which of the following sets of forces can not have resultant force equal to zero. (All forces are in newton).

View answer and explanation

Correct option: D

10, 20, 40

Option D (10, 20, 40) is correct because the sum of the two smallest forces (10 + 20 = 30) is less than the largest force (40), so they cannot balance each other.

12 Easy

12 of 245

Understanding +4 | -1

Statement-I: If net force on a rigid body is zero, it is either at rest or moving with a constant linear velocity.
Statement-II: Constant velocity means linear acceleration is zero

View answer and explanation

Correct option: A

Statement-I is true and statement-II is true

Option A (Statement-I is true and statement-II is true) is correct. Newton's first law implies statement I, and constant velocity implies zero acceleration.

13 Medium

13 of 245

Remembering +4 | -1

Newton’s Second law gives the measure of

View answer and explanation

Correct option: B

Force

Option B (Force) is correct. Newton's Second Law states that force is proportional to the rate of change of momentum, or F=ma.

14 Easy

14 of 245

Application +4 | -1

An 8.0 kg object is suspended by a vertical string from the ceiling of an elevator which is accelerating upward at a rate of

3.3\,\,m/{s^2}.

The tension in the string is

View answer and explanation

Correct option: D

104.8

Option D (104.8) is correct because the tension is calculated by considering the upward acceleration of the elevator and the weight of the object.

15 Medium

15 of 245

Understanding +4 | -1

A student unable to answer a question on Newton’s law of motion attempts to pull himself up by tugging on his hair. He will not succeed

View answer and explanation

Correct option: D

As the force applied is internal to the system

Option D is correct because pulling oneself up by tugging on one's hair is an internal force within the system (student), and internal forces cannot cause a change in the system's center of mass motion.

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16 Medium

16 of 245

Analyzing +4 | -1

A block of mass

\mathrm{m}

is kept on a moving block of mass

\mathrm{M}

in such a way that

\mathrm{M}

moves but

\mathrm{m}

remains at rest with respect to

\mathrm{M}

. Then

View answer and explanation

Correct option: C

Kinetic energy and momentum may be zero in a frame

Option C (Kinetic energy and momentum may be zero in a frame) is correct because if the frame of reference is moving with the block M, then the block m will be at rest in that frame, resulting in zero kinetic energy and momentum.

17 Medium

17 of 245

Analyzing +4 | -1

STATEMENT-1 : A cloth covers a table. Some dishes are kept on it. The cloth can be pulled out without dislodging the dishes from the table.

STATEMENT-2 : For every action there is an equal and opposite reaction.

View answer and explanation

Correct option: B

Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1

Option B (Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1) is correct because the cloth can be pulled out due to inertia, and Newton's third law is a separate concept.

18 Medium

18 of 245

Application +4 | -1

A car of mass 800 kg moves on a circular track of radius 40 m. If the coefficient of friction is 0.5, then maximum velocity with which the car can move is

View answer and explanation

Correct option: B

14 m/s

The maximum velocity is calculated by equating the centripetal force with the maximum frictional force and solving for velocity. Therefore, the correct answer is B (14 m/s).

19 Easy

19 of 245

Understanding +4 | -1

In case of horse pulling a cart, the force that causes the horse to move forward is the force that

View answer and explanation

Correct option: B

The ground exerts on the horse

Option B is correct because the horse moves forward due to the reaction force exerted by the ground on its feet, as per Newton's third law.

20 Medium

20 of 245

Analyzing +4 | -1

Which of the following statement (s) is/are correct?

I. A string has a mass

m

. If it is accelerated, tension is non-uniform and if it is not accelerated, tension is uniform.

II. Tension force is an electromagnetic force.

View answer and explanation

Correct option: B

Only II

Option B (Only II) is correct because tension is indeed an electromagnetic force, while a string under acceleration will have non-uniform tension due to its mass.

21 Medium

21 of 245

Understanding +4 | -1

Three weights

w,2w\;\mathrm{and\;}3w

are connected to identical spring suspended from a rigid horizontal rod. The assembly of the rod and weights fall freely. The positions of the weight from the rod are such that

View answer and explanation

Correct option: C

All will be at the same distance

Option C (All will be at the same distance) is correct because in free fall, the acceleration is the same for all weights, so the springs will be unstretched.

22 Medium

22 of 245

Analyzing +4 | -1

Choose the incorrect statement(s) from the following.
I. If a body is not in rest position, then the net external force acting on it cannot be zero.
II. If the net force acting on a body be zero then the body
will essentially remain at rest.

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because both statements are incorrect. A body can move with constant velocity if the net external force is zero, and a body will remain at rest or in uniform motion if the net force is zero.

23 Medium

23 of 245

Understanding +4 | -1

A cyclist bends while taking turn in order to

View answer and explanation

Correct option: B

provide required centripetal force

Option B (provide required centripetal force) is correct because bending allows the cyclist to lean into the turn, providing a component of the normal force that acts as the centripetal force required for circular motion.

24 Medium

24 of 245

Remembering +4 | -1

Newton’s first law of motion describes the following

View answer and explanation

Correct option: C

Inertia

Option C is correct because Newton's first law, also known as the law of inertia, describes the tendency of an object to resist changes in its state of motion.

25 Easy

25 of 245

Application +4 | -1

A block has been placed on an inclined plane. The slope angle

\theta

of the plane is such that the block slides down the plane at a constant speed. The coefficient of kinetic friction is equal to

View answer and explanation

Correct option: D

\tan \theta

Option D (

\tan \theta

) is correct because at constant speed, the component of weight down the plane equals the kinetic friction force, leading to

\mu_k = \tan \theta

26 Medium

26 of 245

Analyzing +4 | -1

Assertion (A) : Two frames

S_1

and

S_2

are non-inertial. Then frame

S_2

when observed from

S_1

is inertial.

Reason (R): A frame in motion is not necessarily a non-inertial frame.

View answer and explanation

Correct option: D

If Assertion is false but the Reason is true.

Option D (If Assertion is false but the Reason is true) is correct because non-inertial frames observed from each other are also non-inertial, and a frame in motion can be inertial if it moves with constant velocity.

27 Medium

27 of 245

Understanding +4 | -1

A body is imparted motion from rest to move in a straight line. If it is then obstructed by an opposite force, then

View answer and explanation

Correct option: B

The body is sure to slow down

Option B (The body is sure to slow down) is correct because an opposite force will cause a deceleration, reducing the body's speed.

28 Medium

28 of 245

Application +4 | -1

A block of mass 2kg is kept on the floor of freely falling lift. During the free fall of the lift, the block is pulled horizontal with a force of 4N, the frictional force acting on the block is

{\mu _s} = 0.1

View answer and explanation

Correct option: D

zero

Option D (zero) is correct because in a freely falling lift, the effective weight of the block is zero, hence the normal force and consequently the friction force are also zero.

29 Easy

29 of 245

Understanding +4 | -1

If final momentum is equal to initial momentum of the system then:

View answer and explanation

Correct option: A

No net force on the system

Option A is correct because if the final momentum equals the initial momentum, the net force on the system must be zero according to the impulse-momentum theorem.

30 Medium

30 of 245

Application +4 | -1

A 30 kg block rests on a rough horizontal surface. A force of 200 N is applied on the block. The block acquires a speed of 4 m/s, starting from rest in 2 s. What is the value of coefficient of friction?

View answer and explanation

Correct option: C

0.47

Option C (0.47) is correct because it is calculated using Newton's second law and the definition of kinetic friction, considering the applied force and the resulting acceleration.

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Key Takeaways

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