Mechanics 1 for Year 13: Interactive Quizzes and Practice Questions

Question 1

A spring with a spring constant of 100 N/m is stretched by 0.2 m. Calculate the potential energy stored in the spring.

Accepted Answer

4 J

Answer

2 J

Answer

8 J

Answer

16 J

Question 2

A pendulum with a length of 1 m and a mass of 0.5 kg oscillates. Calculate its period of oscillation.

Accepted Answer

2.8 s

Answer

1.4 s

Answer

4.2 s

Answer

5.6 s

Question 3

A particle moves in a circle of radius 5 m with a constant speed of 10 m/s. What's the particle's centripetal acceleration?

Accepted Answer

4 m/s²

Answer

2 m/s²

Answer

8 m/s²

Answer

10 m/s²

Question 4

A spring of spring constant k is stretched by a distance x. What is the potential energy stored in the spring?

Accepted Answer

kx²/2

Answer

kx/2

Answer

kx

Answer

2kx

Question 5

Which of the following is NOT one of Newton's laws of motion?

Accepted Answer

Energy can be created or destroyed.

Answer

An object at rest will remain at rest unless acted upon by an unbalanced force.

Answer

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

Answer

For every action, there is an equal and opposite reaction.

Question 6

What is the SI unit of momentum?

Accepted Answer

Kilogram meter per second (kg m/s)

Answer

Kilogram (kg)

Answer

Newton (N)

Answer

Newton meter (Nm)

Question 7

A ball is thrown vertically upward with an initial velocity of 20 m/s. What maximum height will it reach?

Accepted Answer

40 m

Answer

10 m

Answer

20 m

Answer

80 m

Question 8

A force of 50 N is applied to an object of mass 10 kg. What acceleration will be produced?

Accepted Answer

1 m/s²

Answer

0.5 m/s²

Answer

5 m/s²

Answer

10 m/s²

Question 9

A block of mass 5 kg is sliding down an inclined plane with an angle of inclination of 30 degrees. What is the acceleration of the block down the plane due to gravity?

Accepted Answer

2.45 m/s²

Answer

4.9 m/s²

Answer

7.35 m/s²

Answer

9.8 m/s²

Question 10

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

Accepted Answer

2000 kg m/s

Answer

1000 kg m/s

Answer

3000 kg m/s

Answer

4000 kg m/s

Question 11

A car with a mass of 1000 kg is traveling at a speed of 20 m/s. Calculate the kinetic energy of the car.

Accepted Answer

1000 kJ

Answer

10 kJ

Answer

100 kJ

Answer

10,000 kJ

Question 12

A particle moves in a circular path of radius 5 m. If the particle completes one revolution in 10 seconds, calculate its angular velocity.

Accepted Answer

1.26 rad/s

Answer

0.63 rad/s

Answer

2.51 rad/s

Answer

5.03 rad/s

Question 13

A projectile is launched from the surface of the Earth with an initial velocity of u at an angle θ to the horizontal. What is the range of the projectile?

Accepted Answer

u^2sin2θ/g

Answer

u^2cos2θ/g

Answer

u^2sinθ/g

Answer

u^2cosθ/g

Question 14

A ball is thrown vertically upwards with a velocity of 20 m/s. What is the maximum height it will reach?

Accepted Answer

30 m

Answer

10 m

Answer

20 m

Answer

40 m

Question 15

The work done by a constant force F on a body through a displacement s is given by:

Accepted Answer

(Fs)

Answer

(F/s)

Answer

(s/F)

Answer

(F^2s)

Question 16

A particle is projected with a velocity of 10 m/s at an angle of 30° to the horizontal. What is the horizontal component of its velocity?

Accepted Answer

8.66 m/s

Answer

5 m/s

Answer

10 m/s

Answer

15 m/s

Question 17

A vehicle starts from rest and increases its speed steadily at a rate of 5 m/s² for 10 seconds. Determine its velocity at the end of this period.

Accepted Answer

50 m/s

Answer

10 m/s

Answer

100 m/s

Answer

500 m/s

Question 18

Which of the following options is not one of Newton's laws of motion?

Accepted Answer

Law of Universal Gravitation

Answer

First Law

Answer

Second Law

Answer

Third Law

Question 19

Momentum is defined as:

Accepted Answer

mass multiplied by velocity

Answer

mass multiplied by acceleration

Answer

force divided by time

Answer

work done over time

Question 20

A car of mass 1000 kg travels at a steady speed of 20 m/s along a straight road. What is the net force acting on the car?

Accepted Answer

0 N

Answer

1000 N

Answer

20000 N

Answer

9800 N

Question 21

A ball is thrown vertically upwards with an initial velocity of 15 m/s from the ground. What is the maximum height reached by the ball?

Accepted Answer

11.25 m

Answer

15 m

Answer

12 m

Answer

10 m

Question 22

A wheel rolls without slipping on a horizontal surface. What is the relationship between the linear velocity (v) of the wheel, its angular velocity (ω), and the radius (r)?

Accepted Answer

v = ωr

Answer

ω = v/r

Answer

There is no relationship between v, ω, and r.

Answer

v = ω/r

Question 23

A mass-spring system is undergoing simple harmonic motion with a frequency of 2 Hz. What is the period of oscillation?

Accepted Answer

0.5 s

Answer

1 s

Answer

4 s

Answer

2 s

Question 24

In a hydroelectric power plant, which energy transformation takes place?

Accepted Answer

Gravitational potential energy → Electrical energy

Answer

Chemical energy → Electrical energy

Answer

Nuclear energy → Electrical energy

Answer

Thermal energy → Electrical energy

Question 25

Which of the following is a vector quantity?

Accepted Answer

Velocity

Answer

Temperature

Answer

Time

Answer

Mass

Question 26

A ball is thrown vertically upwards with an initial velocity of 10 m/s. Calculate the maximum height reached by the ball.

Accepted Answer

10.2 m

Answer

15.3 m

Answer

5.1 m

Answer

20.4 m

Question 27

A ball is dropped from a height of 10 m and rebounds to a height of 6 m. Determine the coefficient of restitution between the ball and the ground.

Accepted Answer

0.8

Answer

1.2

Answer

1

Answer

0.6

Question 28

A particle of mass 'm' moves in a straight line with velocity 'v'. It is acted upon by a constant force 'F' in the direction of its motion. What is the power developed by the force?

Accepted Answer

Fv

Answer

Fv^2

Answer

F/v

Answer

Fv/2

Question 29

A ball is thrown vertically upwards with a speed of 10 m/s. What is the time taken for the ball to reach its maximum height?

Accepted Answer

2.5 s

Answer

10 s

Answer

5 s

Answer

1 s

Question 30

A particle moves with a constant velocity v. The displacement of the particle in time t can be expressed as:

Accepted Answer

vt

Answer

t^2v

Answer

v/t

Answer

vt^2

Question 31

A ball projected vertically upwards with velocity u, reaches a maximum height h. The initial velocity u can be calculated using the formula:

Accepted Answer

√(2gh)

Answer

√(h/2g)

Answer

2gh

Answer

h/g

Question 32

The work done by a force F acting on an object over a displacement s in the direction of the force is:

Accepted Answer

Fs

Answer

F + s

Answer

F/s

Answer

s/F

Question 33

A system of two particles has a total momentum of zero. This implies that:

Accepted Answer

The particles have equal and opposite momenta.

Answer

The particles have equal, non-zero momenta.

Answer

The particles have the same momentum.

Answer

The particles are at rest.

Question 34

A particle moves in a circular path of radius r with a constant speed v. The centripetal acceleration of the particle is given by:

Accepted Answer

v^2/r

Answer

rv

Answer

vr

Answer

r/v

Question 35

The period of a simple pendulum is primarily determined by its:

Accepted Answer

Length

Answer

Initial displacement

Answer

Amplitude

Answer

Mass

Question 36

Which of the following is NOT a necessary condition for the equilibrium of a rigid body?

Accepted Answer

The net torque acting on the body is non-zero.

Answer

The body is at rest or moving with constant velocity.

Answer

The resultant moment of all forces about every point is zero.

Answer

The net force acting on the body is zero.

Question 37

A car accelerates uniformly from rest to a speed of 20 m/s in 10 seconds. What is the acceleration of the car?

Accepted Answer

2 m/s²

Answer

4 m/s²

Answer

0.5 m/s²

Answer

1 m/s²

Question 38

A ball is thrown vertically upwards with an initial velocity of 15 m/s. What is the maximum height reached by the ball (ignore air resistance)?

Accepted Answer

11.48 m

Answer

22.96 m

Answer

15 m

Answer

7.5 m