Mechanics 1: Master Kinematics, Dynamics, and More

Question 1

Which of the following is a vector quantity?

Accepted Answer

Velocity

Answer

Mass

Answer

Temperature

Answer

Energy

Question 2

What is the SI unit of force?

Accepted Answer

Newton (N)

Answer

Joule (J)

Answer

Watt (W)

Answer

Kilogram (kg)

Question 3

Which of the following is NOT a law of motion?

Accepted Answer

Hooke's law

Answer

Newton's first law

Answer

Newton's second law

Answer

Newton's third law

Question 4

A projectile is launched at an angle of 45 degrees to the horizontal. Describe its trajectory.

Accepted Answer

It is a parabola.

Answer

It is a straight line.

Answer

It is a circle.

Answer

It is an ellipse.

Question 5

A body is said to be in equilibrium if the resultant force acting on it is:

Accepted Answer

Zero

Answer

Non-zero

Answer

Maximum

Answer

Minimum

Question 6

Calculate the work done by a constant force F acting on an object over a displacement d.

Accepted Answer

Fd

Answer

F/d

Answer

d/F

Answer

F²d

Question 7

Which of the following is the SI unit of power?

Accepted Answer

Watt

Answer

Joule

Answer

Newton

Answer

Kilogram

Question 8

Which of the following is a vector quantity, meaning it has both magnitude and direction?

Accepted Answer

Acceleration

Answer

Speed

Answer

Distance

Answer

Mass

Question 9

Which of the following is Newton's third law of motion, also known as the action-reaction law?

Accepted Answer

For every action, there is an equal and opposite reaction

Answer

The acceleration of an object is directly proportional to the net force acting on it

Answer

The momentum of an isolated system remains constant

Answer

Energy cannot be created or destroyed

Question 10

Which of the following is NOT a condition for static equilibrium, where an object is at rest and not rotating?

Accepted Answer

The object is moving at a constant velocity

Answer

The net force on the object is zero

Answer

The net torque on the object is zero

Answer

The object is not accelerating

Question 11

A particle with a mass of 2 kilograms moves at a velocity of 10 meters per second. Calculate its kinetic energy.

Accepted Answer

100 Joules

Answer

50 Joules

Answer

150 Joules

Answer

200 Joules

Question 12

A particle moves in a circular path of radius 5 m with a speed of 10 m/s. What centripetal force acts on the particle?

Accepted Answer

100 N

Answer

50 N

Answer

150 N

Answer

200 N

Question 13

Which of the following is a scalar quantity?

Accepted Answer

Displacement

Answer

Velocity

Answer

Acceleration

Answer

Force

Question 14

A body moves with constant velocity. Which of the following graphs best represents the relationship between its displacement and time?

Accepted Answer

A straight line with a positive slope

Answer

A straight line with a negative slope

Answer

A parabola

Answer

A circle

Question 15

According to Newton's second law of motion, the acceleration of an object is directly proportional to:

Accepted Answer

The force acting on it

Answer

The mass of the object

Answer

The velocity of the object

Answer

The time for which the force acts

Question 16

Which of the following is **not** a unit of work?

Accepted Answer

Metre

Answer

Newton

Answer

Joule

Answer

Watt

Question 17

Which of the following forces is a conservative force?

Accepted Answer

Gravitational force

Answer

Tension force

Answer

Frictional force

Answer

Centripetal force

Question 18

A particle moves in a circular path with constant speed. Which of the following correctly describes the particle's acceleration?

Accepted Answer

Directed towards the center of the circle

Answer

Tangential to the circle

Answer

Zero

Answer

Directed away from the center of the circle

Question 19

What is the SI unit of impulse?

Accepted Answer

Newton-second (Ns)

Answer

Meter per second (m/s)

Answer

Kilogram-meter (kg-m)

Answer

Joule (J)

Question 20

Which formula represents the definition of work?

Accepted Answer

Work = Force x Displacement

Answer

Work = Energy x Time

Answer

Work = Impulse x Momentum

Answer

Work = Power x Time

Question 21

A particle initially at rest moves in a straight line with constant acceleration 'a' for time 't'. What distance does the particle cover in this time?

Accepted Answer

0.5 * a * t^2

Answer

0.5 * v * t

Answer

a * t

Answer

v * t

Question 22

A ball is thrown vertically upward with a velocity 'u'. What is its velocity when it reaches its maximum height?

Accepted Answer

0

Answer

u/2

Answer

u

Answer

-u

Question 23

A particle moves in a circle of radius 'r' with a constant speed 'v'. What is the magnitude of its acceleration?

Accepted Answer

v^2/r

Answer

2 * v^2/r

Answer

v/r

Answer

0

Question 24

A body of mass 'm' is in equilibrium under the action of three forces. What is the magnitude of the resultant force?

Accepted Answer

0

Answer

m * g

Answer

2 * m * g

Answer

3 * m * g

Question 25

Which of the following is a unit of energy?

Accepted Answer

Joule

Answer

Newton

Answer

Watt

Answer

Kilogram

Question 26

A car with a mass of 1000 kg collides head-on with a stationary car with a mass of 500 kg. If the first car was travelling at a velocity of 10 m/s, what is the velocity of the two cars after the collision?

Accepted Answer

6.67 m/s

Answer

3.33 m/s

Answer

15 m/s

Answer

10 m/s

Question 27

Which of the following is a condition for equilibrium?

Accepted Answer

The net force acting on the object is zero

Answer

The object is at rest

Answer

The object is accelerating

Answer

The object is moving with constant velocity

Question 28

A car of mass 1000 kg travels at a constant velocity of 20 m/s on a level road. What is the net force acting on the car?

Accepted Answer

0 N

Answer

1000 N

Answer

2000 N

Question 29

A particle undergoes motion along a straight line with constant velocity. Which of the following displacement-time graphs accurately depicts its motion?

Accepted Answer

A straight line passing through the origin with a constant positive gradient

Answer

A circle

Answer

A parabola opening upwards

Question 30

An object with a mass of 4 kg experiences a force of 25 N for 8 seconds. Determine the change in its momentum.

Accepted Answer

200 kg m/s

Answer

300 kg m/s

Answer

100 kg m/s

Answer

125 kg m/s

Question 31

What is the SI unit of power?

Accepted Answer

Watt (W)

Answer

Newton (N)

Answer

Joule (J)

Question 32

Which of the following is NOT classified as a fundamental force in nature?

Accepted Answer

Friction

Answer

Gravitational force

Answer

Strong nuclear force

Answer

Electromagnetic force

Question 33

A particle moves with a constant velocity. Which of the following graphs best represents the relationship between the particle's displacement and time?

Accepted Answer

A straight line with a constant positive slope

Answer

A parabola

Answer

A hyperbola

Answer

A circle

Question 34

Which of the following is a scalar quantity?

Accepted Answer

Mass

Answer

Force

Answer

Velocity

Answer

Momentum

Question 35

Which of the following statements about momentum is correct?

Accepted Answer

Momentum is a conserved quantity in a closed system.

Answer

Momentum is a scalar quantity.

Answer

Momentum is always positive.

Answer

Momentum is directly proportional to the object's speed.

Question 36

A particle is moving in a circular path with a constant speed. Which of the following forces is acting on the particle, causing it to move in a circle?

Accepted Answer

Centripetal force

Answer

Normal force

Answer

Gravitational force

Answer

Frictional force

Question 37

Which of the following is NOT a unit of energy?

Accepted Answer

Newton

Answer

Joule

Answer

Electronvolt

Answer

Calorie

Question 38

A ball is thrown horizontally from a height of 10 m with a velocity of 15 m/s.  Ignoring air resistance, what is the approximate horizontal distance the ball travels before hitting the ground?

Accepted Answer

22.5 m

Answer

30 m

Answer

45 m

Answer

15 m

Question 39

A particle of mass 2 kg is moving with a velocity of 10 m/s. What is its kinetic energy?

Accepted Answer

100 J

Answer

25 J

Answer

200 J

Answer

50 J

Question 40

A force of 10 N is applied to a mass of 2 kg for 5 seconds. What is the impulse?

Accepted Answer

50 Ns

Answer

200 Ns

Answer

25 Ns

Answer

100 Ns

Question 41

A body of mass 10 kg is dropped from a height of 20 m. What is its velocity just before it hits the ground?

Accepted Answer

19.8 m/s

Answer

29.4 m/s

Answer

9.8 m/s

Answer

39.2 m/s

Question 42

A car of mass 1000 kg is traveling at 20 m/s. What is its momentum?

Accepted Answer

20000 kg m/s

Answer

1000 kg m/s

Answer

40000 kg m/s

Question 43

A rotating object has a moment of inertia of 10 kg m^2 and an angular velocity of 5 rad/s. What is its rotational kinetic energy?

Accepted Answer

125 J

Answer

62.5 J

Answer

250 J

Answer

31.25 J

Question 44

A particle of mass 1 kg is moving in a circle of radius 2 m with a speed of 5 m/s. What is its centripetal force?

Accepted Answer

12.5 N

Answer

3.125 N

Answer

6.25 N

Answer

25 N

Question 45

A projectile is launched vertically upwards with a velocity of 10 m/s. What is its maximum height?

Accepted Answer

5 m

Answer

10 m

Answer

2.5 m

Question 46

A ball of mass 1 kg is dropped from a height of 10 m. What is its kinetic energy just before it hits the ground?

Accepted Answer

98 J

Answer

294 J

Answer

49 J

Answer

196 J

Question 47

A system of two particles has a total mass of 10 kg and a total momentum of 20 kg m/s. What is the velocity of the center of mass?

Accepted Answer

2 m/s

Answer

4 m/s

Answer

8 m/s

Answer

1 m/s

Question 48

A car of mass 1000 kg is traveling at 20 m/s when it applies the brakes, which provide a force of 500 N. What is the acceleration of the car?

Accepted Answer

-0.5 m/s^2

Answer

-1 m/s^2

Answer

0.5 m/s^2