Section A – Multiple Choice Questions (MCQs) [Q.1–20]
(No figures in this section)
- The SI unit of force is:
a) Joule
b) Newton
c) Dyne
d) Pascal - A body continues in its state of rest or uniform motion unless acted upon by an external force. This is:
a) Newton’s 1st law
b) Newton’s 2nd law
c) Newton’s 3rd law
d) Law of gravitation - Force = mass × __________.
a) Time
b) Acceleration
c) Velocity
d) Momentum - Which of the following is a vector quantity?
a) Mass
b) Force
c) Speed
d) Distance - The inertia of a body depends on its:
a) Velocity
b) Mass
c) Acceleration
d) Shape - Rate of change of momentum is equal to:
a) Acceleration
b) Force
c) Impulse
d) Inertia - Momentum is defined as:
a) Force × distance
b) Mass × velocity
c) Mass × acceleration
d) Mass ÷ velocity - A goalkeeper pulls back his hands while catching a fast-moving ball. This is to:
a) Increase mass
b) Decrease impulse
c) Increase time of impact
d) Stop momentum - Action and reaction:
a) Act on same body
b) Act on different bodies
c) Cancel each other
d) None of these - A horse pulls a cart. The cart moves forward because:
a) Horse pushes against air
b) Cart pushes horse forward
c) Horse pushes ground backward
d) None of these - If the net external force on a body is zero, its momentum:
a) Increases
b) Decreases
c) Remains constant
d) Becomes zero - The law of conservation of momentum is a consequence of:
a) Newton’s first law
b) Newton’s second law
c) Newton’s third law
d) Law of inertia - A passenger jumps out of a moving bus. He falls forward because of:
a) Momentum of body
b) Inertia of rest
c) Inertia of motion
d) Acceleration - Rocket propulsion works on:
a) Newton’s first law
b) Newton’s second law
c) Newton’s third law
d) Gravitation - The unit of momentum is:
a) kg·m/s
b) N·m
c) J
d) N/s - A bullet of mass 10 g moving with 400 m/s has momentum:
a) 0.4 Ns
b) 40 Ns
c) 4 Ns
d) 0.04 Ns - The SI unit of impulse is same as that of:
a) Force
b) Energy
c) Momentum
d) Work - A body moving with uniform velocity:
a) Has no acceleration
b) Has constant acceleration
c) Has variable acceleration
d) Has negative acceleration - The inertia of direction is seen when:
a) A coin falls when cardboard is pulled
b) A passenger falls forward in bus
c) A passenger is thrown sideways on turning
d) None of these - A body of mass 5 kg moving with 2 m/s has momentum:
a) 2 kg·m/s
b) 10 kg·m/s
c) 5 kg·m/s
d) 20 kg·m/s
Section B – True/False [Q.21–30]
- Newton’s first law is called law of inertia.
- A heavier body has less inertia.
- Action and reaction act on same body.
- Momentum is a scalar quantity.
- Force is directly proportional to acceleration.
- Momentum is conserved in all types of collisions.
- Rocket propulsion is based on conservation of momentum.
- Inertia is independent of mass.
- If net force = 0, velocity remains constant.
- Impulse = Force × Time.
Section C – Fill in the Blanks [Q.31–40]
- The tendency of a body to resist change in its state is called __________.
- The product of mass and velocity is __________.
- For every action, there is an __________ and __________ reaction.
- The SI unit of momentum is __________.
- Impulse is equal to change in __________.
- The rate of change of momentum is directly proportional to __________.
- A passenger falls forward in a moving bus when it stops suddenly due to __________.
- The law of conservation of momentum follows from Newton’s __________ law.
- Momentum is a __________ quantity.
- A rocket moves forward by expelling gases __________.
Section D – Assertion & Reason [Q.41–50]
41. Assertion (A): A person in a car jerks backward when the car suddenly moves forward.
Reason (R): Due to inertia of rest, the body resists the change in its state.
42. Assertion (A): A ball thrown vertically upwards comes down after reaching a certain height.
Reason (R): The Earth exerts an unbalanced force of gravity on the ball.
43. Assertion (A): The recoil velocity of a gun is much smaller than the velocity of the bullet.
Reason (R): The gun has a much larger mass compared to the bullet.
Q44.
Assertion (A): A man cannot lift himself by pulling up the straps of his shoes.
Reason (R): Action and reaction forces act on different bodies.
45. Assertion (A): Momentum is conserved when two bodies collide in the absence of external force.
Reason (R): The force exerted by one body on the other is equal and opposite to the reaction force.
46 .Assertion (A): A passenger falls forward when the bus suddenly stops.
Reason (R): Due to inertia of motion, the upper part of the body continues to move forward.
47. Assertion (A): A horse is able to pull a cart and make it move forward.
Reason (R): The horse pushes the ground backward, and the ground pushes the horse forward.
48. Assertion (A): Newton’s Second Law of Motion gives a quantitative definition of force.
Reason (R): It relates force with the rate of change of momentum.
49. Assertion (A): If no force acts on a moving body, it will continue moving with uniform velocity.
Reason (R): Inertia opposes any change in the state of motion of a body.
50.Assertion (A): In action–reaction pair, action and reaction do not cancel each other.
Reason (R): They act on two different bodies.
Section E – Very Short Answer (1 Mark Each) [Q.51–60]
- Define inertia.
- Write SI unit of force.
- State Newton’s 1st law of motion.
- Define momentum.
- State Newton’s 3rd law.
- Give an example of inertia of rest.
- Write mathematical form of 2nd law.
- Define impulse.
- State law of conservation of momentum.
- Give an example of action–reaction pair.
Section F – Short Answer (2 Marks Each) [Q.61–70]
- Why does a cyclist fall sideways when taking a sharp turn?
- Explain why passengers fall backward when bus starts suddenly.
- Derive relation between impulse and momentum.
- Why is it easier to stop a tennis ball than a cricket ball moving with same velocity?
- A body of mass 50 kg is moving with velocity 10 m/s. Calculate its momentum.
- State two applications of Newton’s 3rd law.
- Why does a rifle recoil backward?
- How does seat belt protect passengers in car accidents?
- A hammer strikes a nail. Explain action and reaction here.
- Why does a balloon move forward when air is released?
Section G – Short Answer (3 Marks Each) [Q.71–80]
- Derive F = ma from Newton’s second law.
- Explain conservation of momentum with an example.
- Why does a cricket player lower his hands while catching a ball?
- A bullet of mass 20 g is fired with velocity 200 m/s from gun of mass 10 kg. Find recoil velocity of gun.
- A boy of mass 40 kg jumps from 5 m height. What is his momentum just before hitting ground?
- A truck of mass 3000 kg moving with 72 km/h collides with car of mass 1000 kg at rest. They move together. Find common velocity.
- Derive relation between force and rate of change of momentum.
- Why is it difficult to walk on ice?
- Why does a person fall backwards when pushing a wall?
- Define second law of motion.
Section H – Long Answer (4–5 Marks Each, with Figures) [Q.81–90]
- State and explain Newton’s three laws with suitable daily life examples.
- Derive mathematical form of Newton’s 2nd law using momentum.
- A ball of mass 200 g moving at 10 m/s strikes wall at 90° and rebounds with same speed. Find change in momentum.
- A truck of mass 2000 kg moving at 36 km/h is stopped by force 2000 N. Find stopping distance.
- Why are road accidents less severe at lower speeds? Explain with laws of motion.
- A car of mass 1000 kg moving at 20 m/s is stopped by brakes in 5 s. Calculate force.
- A truck of mass 3000 kg moving with a velocity of 90 km/h collides with a car of mass 1000 kg moving with a velocity of 18 km/h in the same direction. After collision, both move together. Calculate their common velocity after collision. Also explain which principle is used in solving this problem.
- Explain why a cricket player lowers his hands while catching a fast-moving ball. Derive the mathematical form of Newton’s Second Law of Motion and show how Force = mass × acceleration.
- Describe the working of a rocket on the basis of Newton’s Third Law of Motion. With the help of equations of motion, derive the expression for conservation of momentum in a system of two bodies interacting with each other.
- State and explain Newton’s three laws of motion with suitable daily-life examples. Draw neat diagrams wherever necessary.
Section I – Case Study Based [Q.91–100]
Case 1 – Colliding Carts
Two carts of masses 2 kg and 3 kg collide. The first moving at 4 m/s comes to rest, second moves away.
- Which law applies here?
- State law of conservation of momentum.
- Calculate velocity of 3 kg cart after collision.
- What type of collision is this?
- Draw momentum-time graph.
Case 2 – Rocket Motion
A rocket expels gases at high velocity.
- Which Newton’s law explains it?
- If rocket expels 10 kg gases/s at 500 m/s, what thrust is produced?
- Why does rocket accelerate upwards?
- Explain how momentum is conserved in rocket propulsion.
- What is action and reaction force?