Master Mechanics 2: Enhance Your A-Level Skills with Interactive Quizzes

Question 1

A particle of mass m moves in a straight line with constant acceleration a for time t. Which equation correctly represents the displacement s of the particle after time t?

Accepted Answer

s = ut + 1/2at²

Answer

s = at + 1/2ut²

Answer

s = ut + at²

Answer

s = ut - 1/2at²

Question 2

Two bodies of masses m1 and m2 collide head-on with velocities u1 and u2 respectively. If the collision is perfectly inelastic, what is the velocity of the combined bodies after the collision?

Accepted Answer

(m1u1 + m2u2) / (m1 + m2)

Answer

m1u1 + m2u2

Answer

(m1u1 - m2u2) / (m1 + m2)

Question 3

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

Accepted Answer

v²/r

Answer

rv

Answer

r/v

Answer

v/r

Question 4

A car of mass 1000 kg is travelling at a constant speed of 20 m/s around a bend with a radius of 50 m. What is the direction of the centripetal force acting on the car?

Accepted Answer

Towards the center of the curve

Answer

Away from the center of the curve

Answer

In the direction of the car's velocity

Question 5

A satellite is orbiting the Earth at a constant speed. Which of the following statements about the satellite is TRUE?

Accepted Answer

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

Answer

The satellite is accelerating in the direction of its motion.

Answer

The satellite is not accelerating because its speed is constant.

Question 6

A particle of mass 2 kg moves with a velocity of 5 m/s. Calculate its kinetic energy.

Accepted Answer

25 J

Answer

5 J

Answer

15 J

Answer

10 J

Question 7

A projectile is launched vertically upwards with an initial velocity of 20 m/s. Determine its maximum height.

Accepted Answer

20.4 m

Answer

40.8 m

Answer

81.6 m

Answer

10.2 m

Question 8

Two objects with masses m1 and m2 collide head-on with velocities u1 and u2, respectively. If the coefficient of restitution is e, calculate the velocity of m1 after the collision.

Accepted Answer

((u1 - e * u2) * (m1 - m2)) / (m1 + m2)

Answer

((u1 - e * u2) * (m1 + m2)) / (m1 - m2)

Answer

((u1 + e * u2) * (m1 - m2)) / (m1 + m2)

Answer

((u1 + e * u2) * (m1 + m2)) / (m1 - m2)

Question 9

A particle moves in a circular path of radius r with a constant speed v. Calculate its centripetal acceleration.

Accepted Answer

v^2 / r

Answer

r / v

Answer

v^2 * r

Answer

v / r

Question 10

A uniform rod of length L and mass M is pivoted at its midpoint. Calculate its moment of inertia about an axis perpendicular to the rod passing through the pivot.

Accepted Answer

(ML^2) / 12

Answer

(ML^2) / 6

Answer

(ML^2) / 3

Answer

(ML^2) / 4

Question 11

A projectile is launched at an angle of 45° to the horizontal with a speed of 100 m/s. Determine its horizontal range.

Accepted Answer

886 m

Answer

3544 m

Answer

1772 m

Answer

443 m

Question 12

A mass-spring system oscillates with a frequency of 2 Hz. Calculate its period of oscillation.

Accepted Answer

0.5 s

Answer

4 s

Answer

2 s

Answer

1 s

Question 13

A simple pendulum of length L oscillates with a small amplitude. Calculate its approximate period of oscillation.

Accepted Answer

2π√(L / g)

Answer

π√(L / g)

Answer

4π√(L / g)

Answer

π^2√(L / g)

Question 14

A ball is thrown vertically upwards with a velocity of 10 m/s. Determine its maximum height.

Accepted Answer

10.2 m

Answer

15.3 m

Answer

20.4 m

Answer

5.1 m

Question 15

A force of 50 N is applied to an object with a mass of 10 kg. Calculate the acceleration of the object.

Accepted Answer

5 m/s²

Answer

2 m/s²

Answer

10 m/s²

Answer

25 m/s²

Question 16

A 5 kg object moves at a constant velocity of 2 m/s. What is the net force acting on the object?

Accepted Answer

0 N

Answer

10 N

Answer

20 N

Answer

5 N

Question 17

A ball is thrown horizontally from a cliff with a speed of 10 m/s. Ignoring air resistance, what is the ball's vertical velocity after 2 seconds? (Take g = 10 m/s²)

Accepted Answer

-20 m/s

Answer

10 m/s

Answer

20 m/s

Answer

-10 m/s

Question 18

A 1 kg object moving at 5 m/s collides head-on with a stationary 2 kg object. The objects stick together after the collision. What is their combined velocity?

Accepted Answer

1.67 m/s

Answer

3.33 m/s

Answer

2.5 m/s

Answer

5 m/s

Question 19

A car travels 200 km in 2 hours. What is its average speed?

Accepted Answer

100 km/h

Answer

150 km/h

Answer

250 km/h

Answer

50 km/h

Question 20

A ball is thrown vertically upwards with an initial velocity of 10 m/s. Ignoring air resistance, what is its maximum height? (Take g = 10 m/s²)

Accepted Answer

5 m

Answer

10 m

Answer

15 m

Answer

20 m

Question 21

A spring has a spring constant of 100 N/m. How much work is done in stretching it by 0.1 m?

Accepted Answer

0.5 J

Answer

1 J

Answer

0.25 J

Answer

2 J

Question 22

A 0.5 kg ball collides head-on with a stationary 1 kg ball. After the collision, the first ball rebounds with half its original velocity. What is the velocity of the second ball after the collision?

Accepted Answer

1 m/s

Answer

2 m/s

Answer

1.5 m/s

Answer

0.5 m/s

Question 23

A particle moves in a circular path of radius 0.5 m with a constant speed of 2 m/s. What is its centripetal acceleration?

Accepted Answer

8 m/s²

Answer

16 m/s²

Answer

4 m/s²

Answer

12 m/s²

Question 24

A projectile is launched at an angle of 45° to the horizontal with an initial velocity of 20 m/s. Ignoring air resistance, what is the horizontal range of the projectile? (Take g = 10 m/s²)

Accepted Answer

40 m

Answer

20 m

Answer

60 m

Answer

80 m

Question 25

A 1000 kg car traveling at 20 m/s applies its brakes, resulting in a braking force of 500 N. What is the car's deceleration?

Accepted Answer

0.5 m/s²

Answer

2 m/s²

Answer

1 m/s²

Answer

4 m/s²

Question 26

A spring-mass system has a mass of 0.2 kg and a spring constant of 100 N/m. If the system is stretched by 0.1 m and released, what is the maximum velocity of the mass?

Accepted Answer

1 m/s

Answer

2 m/s

Answer

0.5 m/s

Answer

1.5 m/s

Question 27

A particle of mass 2 kg is moving with a velocity of 3 m/s. What is the kinetic energy of the particle?

Accepted Answer

9 J

Answer

18 J

Answer

6 J

Answer

12 J

Question 28

A force of 10 N acts on a 5 kg object for 2 seconds. What is the change in momentum of the object?

Accepted Answer

20 kg m/s

Answer

5 kg m/s

Answer

10 kg m/s

Answer

40 kg m/s

Question 29

A ball is thrown vertically upwards with an initial velocity of 20 m/s. What is the maximum height reached by the ball?

Accepted Answer

20.4 m

Answer

10.2 m

Answer

40.8 m

Answer

15.3 m

Question 30

A car of mass 1000 kg is travelling at a constant speed of 20 m/s around a circular track of radius 50 m. What is the centripetal force acting on the car?

Accepted Answer

8000 N

Answer

4000 N

Answer

16000 N

Answer

2000 N

Question 31

A 2 kg object is released from rest and falls freely under gravity. What is its velocity after 3 seconds?

Accepted Answer

29.4 m/s

Answer

9.8 m/s

Answer

58.8 m/s

Answer

14.7 m/s

Question 32

A roller coaster car of mass 500 kg is at the top of a hill 20 m high. What is the potential energy of the car at this point?

Accepted Answer

98000 J

Answer

49000 J

Answer

196000 J

Answer

24500 J

Question 33

A 10 kg object is moving at a constant velocity of 5 m/s. What is the net force acting on the object?

Accepted Answer

0 N

Answer

10 N

Answer

50 N

Answer

25 N

Question 34

A ball is thrown horizontally from a cliff with an initial velocity of 10 m/s. If the cliff is 20 m high, how long does it take for the ball to hit the ground?

Accepted Answer

2.02 s

Answer

4.04 s

Answer

1.01 s

Question 35

A car of mass 1500 kg accelerates from rest to a speed of 25 m/s in 10 seconds. What is the average power output of the car's engine?

Accepted Answer

46875 W

Answer

18750 W

Answer

93750 W

Answer

23437.5 W

Question 36

Two objects, one with a mass of 2 kg and the other with a mass of 4 kg, are moving towards each other with equal speeds. What is the ratio of their momenta?

Accepted Answer

1:2

Answer

2:1

Answer

1:1