Master Mechanics 1: Enhance Your Understanding with Interactive Quizzes

Question 1

A constant force of 15 N acts on a 3 kg mass initially at rest for 4 seconds. Calculate the impulse applied to the mass.

Accepted Answer

60 Ns

Answer

12 Ns

Answer

20 Ns

Answer

90 Ns

Question 2

Which of the following is a force that opposes motion?

Accepted Answer

Friction

Answer

Gravity

Answer

Tension

Answer

Normal force

Question 3

Which of the following is a conservative force?

Accepted Answer

Gravity

Answer

Friction

Answer

Tension

Answer

Air resistance

Question 4

A simple pendulum has a length of 1 m. What is its period of oscillation?

Accepted Answer

1 s

Answer

2 s

Answer

3 s

Answer

4 s

Question 5

A body is moving with a momentum of 10 kg m/s. If its mass is doubled, what is its new momentum?

Accepted Answer

20 kg m/s

Answer

5 kg m/s

Answer

10 kg m/s

Answer

15 kg m/s

Question 6

A particle moves in a straight line with a constant velocity of 10 m/s. What is its acceleration?

Accepted Answer

0 m/s²

Answer

10 m/s²

Answer

9.8 m/s²

Answer

-10 m/s²

Question 7

A ball is thrown vertically upwards with a velocity of 20 m/s. What is its maximum height?

Accepted Answer

20.4 m

Answer

10.2 m

Answer

40.8 m

Answer

81.6 m

Question 8

A car moves in a circular path of radius 50 m at a speed of 20 m/s. What is its centripetal acceleration?

Accepted Answer

16 m/s²

Answer

8 m/s²

Answer

32 m/s²

Answer

64 m/s²

Question 9

A car travels a distance of 200 m in 10 s. What is its average velocity?

Accepted Answer

20 m/s

Answer

10 m/s

Answer

30 m/s

Answer

40 m/s

Question 10

A car of mass, m, 1000 kg, accelerates from rest to a velocity, v, of 20 m/s in 10 seconds. What is the average power, P, developed by the car?

Accepted Answer

4 kW

Answer

2 kW

Answer

8 kW

Answer

16 kW

Question 11

A particle of mass 'm' moves with velocity 'v' and has kinetic energy 'E'. If the velocity is doubled, the new kinetic energy becomes:

Accepted Answer

4E

Answer

E

Answer

2E

Answer

8E

Question 12

A spring has a spring constant of 200 N/m. If the spring is stretched by 0.2 m, determine the potential energy stored in the spring:

Accepted Answer

4 J

Answer

2 J

Answer

8 J

Answer

16 J

Question 13

Two identical objects collide head-on with equal velocities. What is the coefficient of restitution if the objects stick together after the collision?

Accepted Answer

0

Answer

1

Answer

2

Answer

-1

Question 14

A particle moves in a circular path of radius r with constant speed v. What is the centripetal force acting on the particle?

Accepted Answer

mv²/r

Answer

mv/r

Answer

rv²/m

Answer

rmv

Question 15

A simple harmonic oscillator oscillates with a frequency of 1 Hz. What is the period of oscillation?

Accepted Answer

1 s

Answer

0.5 s

Answer

2 s

Answer

0.25 s

Question 16

An object is dropped from a height of 100 m. Determine its velocity just before it hits the ground.

Accepted Answer

44.3 m/s

Answer

80 m/s

Answer

60 m/s

Answer

20 m/s

Question 17

A car accelerates uniformly from rest to a speed of 15 m/s in 5 seconds. What is the car's acceleration?

Accepted Answer

3 m/s²

Answer

5 m/s²

Answer

7.5 m/s²

Answer

1.5 m/s²

Question 18

A ball is thrown vertically upwards with an initial velocity of 20 m/s. What is the maximum height the ball reaches? (Take g = 10 m/s²)

Accepted Answer

20 m

Answer

80 m

Answer

40 m

Answer

10 m

Question 19

A 10 kg object is acted upon by a net force of 20 N. What is the magnitude of the object's acceleration?

Accepted Answer

2 m/s²

Answer

0.5 m/s²

Answer

200 m/s²

Answer

5 m/s²

Question 20

A box is pulled horizontally across a frictionless surface with a constant force of 10 N. If the box moves a distance of 5 meters, how much work is done on the box?

Accepted Answer

50 J

Answer

2 J

Answer

10 J

Answer

100 J

Question 21

A 2 kg object is moving with a velocity of 5 m/s. What is the object's kinetic energy?

Accepted Answer

25 J

Answer

50 J

Answer

5 J

Answer

10 J

Question 22

A 0.5 kg ball moving at 4 m/s collides head-on with a stationary 1 kg ball. If the collision is perfectly elastic, what is the velocity of the 0.5 kg ball after the collision?

Accepted Answer

-1.33 m/s

Answer

0 m/s

Answer

1.33 m/s

Answer

4 m/s

Question 23

An object is moving in a circle of radius 2 m with a constant speed of 4 m/s. What is the magnitude of the object's centripetal acceleration?

Accepted Answer

8 m/s²

Answer

16 m/s²

Answer

4 m/s²

Answer

2 m/s²

Question 24

A force of 10 N is applied tangentially to the rim of a wheel with a radius of 0.5 m. What is the torque produced by this force?

Accepted Answer

5 Nm

Answer

10 Nm

Answer

2 Nm

Question 25

A spring with a spring constant of 100 N/m is stretched 0.2 m from its equilibrium position. What is the elastic potential energy stored in the spring?

Accepted Answer

2 J

Answer

0.4 J

Answer

5 J

Answer

20 J

Question 26

Two objects, one with twice the mass of the other, are released from the same height above the ground, neglecting air resistance. Which statement is true about their time of fall?

Accepted Answer

Both objects will reach the ground at the same time.

Answer

The heavier object will reach the ground first.

Answer

The lighter object will reach the ground first.

Question 27

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

1 m/s²

Answer

0.5 m/s²

Question 28

A ball is thrown vertically upwards with an initial velocity of 10 m/s. What is the maximum height reached by the ball? (Assume g = 10 m/s²)

Accepted Answer

5 m

Answer

10 m

Answer

2.5 m

Answer

20 m

Question 29

A force of 50 N acts on a mass of 10 kg. What is the acceleration produced?

Accepted Answer

5 m/s²

Answer

10 m/s²

Answer

2 m/s²

Answer

0.5 m/s²

Question 30

A 2 kg object is moving at a velocity of 4 m/s. What is its kinetic energy?

Accepted Answer

16 J

Answer

4 J

Answer

32 J

Answer

8 J

Question 31

A ball of mass 0.5 kg is dropped from a height of 10 m. What is its potential energy at the point of release? (Assume g = 10 m/s²)

Accepted Answer

50 J

Answer

100 J

Answer

10 J

Answer

25 J

Question 32

A 1 kg object is moving at a constant velocity of 2 m/s. What is its momentum?

Accepted Answer

2 kg m/s

Answer

0.5 kg m/s

Answer

4 kg m/s

Answer

1 kg m/s

Question 33

A 5 kg object is moving in a circle of radius 2 m with a constant speed of 4 m/s. What is the centripetal force acting on the object?

Accepted Answer

40 N

Answer

80 N

Answer

20 N

Answer

10 N

Question 34

A car of mass 1000 kg is traveling at a speed of 20 m/s. The brakes are applied, and the car comes to rest in a distance of 50 m. What is the magnitude of the braking force?

Accepted Answer

4000 N

Answer

8000 N

Answer

2000 N

Answer

1000 N

Question 35

A ball is thrown horizontally from a cliff with a speed of 10 m/s. If the cliff is 20 m high, how long does it take for the ball to hit the ground? (Assume g = 10 m/s²)

Accepted Answer

2 s

Answer

3 s

Answer

1 s

Answer

4 s

Question 36

A satellite is orbiting the Earth at a constant speed. Which of the following is true about the satellite's motion?

Accepted Answer

The satellite is constantly accelerating towards the center of the Earth.

Answer

The satellite is not accelerating because its speed is constant.

Answer

The satellite is accelerating in the direction of its motion.