Mechanics 2: Momentum, Impulse, and Torque Quizzes

Question 1

When calculating an object's acceleration, which factor can be disregarded?

Accepted Answer

Surrounding fluid (e.g., air or water)

Answer

Object's mass

Answer

Net force acting on the object

Answer

Direction of the applied force

Question 2

A car with a mass of 1000 kilograms is traveling at a speed of 10 meters per second. Determine the kinetic energy of the car.

Accepted Answer

50 kilojoules

Answer

500 joules

Answer

5 kilojoules

Answer

500 kilojoules

Question 3

A ball is thrown horizontally from a height of 10 meters with a velocity of 10 meters per second. How long does it take for the ball to reach the ground?

Accepted Answer

2 seconds

Answer

1 second

Answer

3 seconds

Question 4

A ball is launched with an initial velocity of 10 meters per second at an angle of 45 degrees above the horizontal. Assuming no air resistance, what is the maximum height the ball will reach?

Accepted Answer

6.4 meters

Answer

2.5 meters

Answer

5 meters

Answer

8 meters

Question 5

A projectile is launched vertically upward from the Earth's surface with an initial velocity of 20 m/s. Ignoring air resistance, what is the maximum height it will reach?

Accepted Answer

25 m

Answer

10 m

Answer

20 m

Answer

30 m

Question 6

A damped harmonic oscillator has a mass of 2 kg, a damping coefficient of 4 N s/m, and a spring constant of 16 N/m. What is its angular frequency (ω)?

Accepted Answer

ω = 2 rad/s

Answer

ω = 4 rad/s

Answer

ω = 8 rad/s

Question 7

A ball of mass 2 kg is moving with a velocity of 5 m/s. What is its momentum?

Accepted Answer

10 kg m/s

Answer

15 kg m/s

Answer

20 kg m/s

Answer

2.5 kg m/s

Question 8

A block of mass 2 kg slides down a frictionless inclined plane. If the height of the inclined plane is 1 m and its length is 2 m, what is the acceleration of the block?

Accepted Answer

5 m/s²

Answer

2 m/s²

Answer

10 m/s²

Answer

15 m/s²

Question 9

A force of 10 N acts on a body of mass 2 kg for 5 seconds. Determine the impulse applied to the body.

Accepted Answer

20 Ns

Answer

10 Ns

Answer

50 Ns

Answer

100 Ns

Question 10

A particle of mass m is undergoing Simple Harmonic Motion with a frequency f. The maximum displacement of the particle is A. Calculate the maximum acceleration of the particle.

Accepted Answer

π²f²A

Answer

0

Answer

2πfA

Question 11

A ball of mass 2 kg is thrown vertically upwards with an initial velocity of 10 m/s. Calculate the maximum height (in meters) reached by the ball.

Accepted Answer

12.5

Answer

5

Answer

10

Answer

20

Question 12

A wheel with a radius of 0.5 m is rolling without slipping. If the linear velocity of the wheel is 10 m/s, what is its angular velocity?

Accepted Answer

20 rad/s

Answer

10 rad/s

Answer

30 rad/s

Answer

40 rad/s

Question 13

A body is in equilibrium under the action of three forces. Which of the following statements is true?

Accepted Answer

The vector sum of the forces acting on the body is zero.

Answer

The forces acting on the body are equal in magnitude and opposite in direction.

Answer

The forces acting on the body are collinear and have the same direction.

Answer

The forces acting on the body are perpendicular to each other.

Question 14

Which of the following is NOT a vector quantity?

Accepted Answer

Mass

Answer

Displacement

Answer

Velocity

Answer

Acceleration

Question 15

A wheel rotates with a constant angular acceleration of 5 rad/s². Its initial angular velocity is 10 rad/s. Calculate its angular velocity after 5 seconds.

Accepted Answer

25 rad/s

Answer

15 rad/s

Answer

20 rad/s

Answer

30 rad/s

Question 16

What is the SI unit of impulse? Explain your reasoning.

Accepted Answer

kg m/s

Answer

N

Answer

N m

Answer

kg m/s^2

Question 17

A constant force of 10 N is applied to a 2 kg object that is initially at rest for 5 seconds. What is the final velocity of the object? Show your work.

Accepted Answer

5 m/s

Answer

2.5 m/s

Answer

10 m/s

Answer

20 m/s

Question 18

A particle moves in a circular path of radius r with constant speed v. What is the direction and magnitude of its centripetal acceleration?

Accepted Answer

Towards the center of the circle, v^2/r

Answer

Along the tangent of the circle, v^2/r

Answer

Away from the center of the circle, v^2/r^2

Answer

Zero

Question 19

A ball of mass 2 kg is projected vertically upwards with an initial velocity of 10 m/s. Determine the maximum height reached by the ball.

Accepted Answer

12.5 m

Answer

5 m

Answer

10 m

Answer

15 m

Question 20

A particle is moving in a circular path of radius r with a constant speed v. What is the magnitude of its acceleration?

Accepted Answer

v^2/r

Answer

v/r

Answer

rv

Answer

rv^2

Question 21

A body is thrown vertically upwards with a velocity of 10 meters per second. What is its velocity after 2 seconds?

Accepted Answer

0 meters per second

Answer

10 meters per second

Answer

20 meters per second

Answer

30 meters per second

Question 22

A body is in equilibrium under the influence of three forces. Which statement is correct?

Accepted Answer

The resultant force acting on the body is zero

Answer

The forces acting on the body are equal in magnitude and act in the same direction

Answer

The forces acting on the body are equal in magnitude and opposite in direction

Answer

The forces acting on the body sum to zero

Question 23

A force of 15 N acts on a body for 3 seconds. What is the power exerted?

Accepted Answer

45 W

Answer

5 W

Answer

10 W

Answer

90 W

Question 24

A force of 5 N is exerted on a 2 kg object for 10 seconds. Calculate the impulse applied to the object.

Accepted Answer

50 Ns

Answer

10 Ns

Answer

2 Ns

Answer

25 Ns

Question 25

A force of 10 Newtons acts on an object for 5 seconds. Calculate the impulse imparted to the object.

Accepted Answer

20 Ns

Answer

5 Ns

Answer

10 Ns

Answer

50 Ns

Question 26

A particle is moving in a circle of radius r with a constant angular velocity ω. Calculate the centripetal acceleration of the particle.

Accepted Answer

rω^2

Answer

rω

Answer

ω^2/r

Answer

ω/r

Question 27

A body with mass m is dropped from a height h. Calculate the velocity of the body just before it hits the ground.

Accepted Answer

√(2gh)

Answer

√(gh)

Answer

gh

Answer

2gh

Question 28

A car is traveling along a straight road, and its velocity-time graph is a straight line with a positive gradient. Make a deduction about the car's motion.

Accepted Answer

The car is accelerating

Answer

The car is decelerating

Answer

The car is moving at a constant velocity

Answer

The car is turning

Question 29

A force of 50 N is applied to a body of mass 10 kg. What is the acceleration produced?

Accepted Answer

5 m/s²

Answer

0.5 m/s²

Answer

10 m/s²

Answer

50 m/s²

Question 30

A body of mass 2 kg is moving in a circular path of radius 1 m with a speed of 5 m/s. What is the centripetal force acting on the body?

Accepted Answer

20 N

Answer

10 N

Answer

40 N

Answer

80 N

Question 31

Identify the unit of torque:

Accepted Answer

Nm

Answer

J

Answer

m

Answer

W

Question 32

Two objects of masses m1 and m2, with velocities v1 and v2 respectively, undergo a head-on collision. Assuming no external forces act, which of the following statements is true?

Accepted Answer

Total momentum is conserved.

Answer

Total kinetic energy is conserved.

Answer

Neither total momentum nor total kinetic energy is conserved.

Answer

Total momentum and total kinetic energy are conserved.

Question 33

Classify the following physical quantity: Momentum

Accepted Answer

Vector quantity

Answer

Scalar quantity

Question 34

State a necessary condition for equilibrium of a rigid body:

Accepted Answer

Net force and net torque are both zero.

Answer

Net torque is zero only.

Answer

Net force is zero only.

Question 35

A force of 50 N is applied to a body of mass 2 kg for 4 seconds. The change in momentum of the body is:

Accepted Answer

200 kg m/s

Answer

400 kg m/s

Answer

100 kg m/s

Answer

80 kg m/s

Question 36

A torque of 100 Nm is applied to a wheel of radius 0.5 m. The angular acceleration of the wheel is:

Accepted Answer

200 rad/s²

Answer

400 rad/s²

Answer

100 rad/s²

Answer

80 rad/s²

Question 37

An object of mass 2 kg moving with a speed of 5 m/s collides head-on with a stationary object of mass 1 kg. If the objects stick together after the collision, what is their combined velocity after the collision?

Accepted Answer

3.33 m/s

Answer

1 m/s

Answer

5 m/s

Answer

2.5 m/s

Question 38

A uniform rod of length 2 m and mass 5 kg is pivoted at one end. What is the moment of inertia of the rod about the pivot?

Accepted Answer

16.67 kg m²

Answer

8.33 kg m²

Answer

33.33 kg m²

Answer

5 kg m²

Question 39

A ball is thrown vertically upwards with an initial velocity of 10 m/s. Assuming negligible air resistance, what is the maximum height reached by the ball?

Accepted Answer

5.1 m

Answer

2.55 m

Answer

10.2 m

Answer

20.4 m

Question 40

A force of 60 N is applied to a 5 kg object, lifting it vertically upwards. What acceleration does the object experience?

Accepted Answer

12 m/s²

Answer

4 m/s²

Answer

1 m/s²

Answer

2 m/s²

Question 41

A 1000 kg car travels at a steady speed of 10 m/s. What is the net force acting on the car?

Accepted Answer

0 N

Answer

100 N

Answer

1000 N

Question 42

A ball with a mass of 0.5 kg is thrown vertically upwards with an initial velocity of 15 m/s. What maximum height does the ball reach?

Accepted Answer

11.25 m

Answer

5.63 m

Answer

22.5 m

Answer

45 m

Question 43

A force of 50 N is applied to a 20 kg object initially at rest. What acceleration is produced by the force?

Accepted Answer

2.5 m/s²

Answer

50 m/s²

Answer

0.5 m/s²

Answer

10 m/s²

Question 44

A 0.05 kg tennis ball is hit by a racket, causing its velocity to change from -10 m/s to 20 m/s in 0.01 seconds. Determine the average force exerted by the racket on the ball.

Accepted Answer

1.5 kN

Answer

150 N

Answer

30 N

Answer

15 N

Question 45

A constant torque of 5 Nm is applied to a rotating object. If the object's angular acceleration is 2 rad/s², what is its moment of inertia?

Accepted Answer

2.5 kg m²

Answer

10 kg m²

Answer

12.5 kg m²

Answer

0.4 kg m²

Question 46

A 2 kg mass moving at 5 m/s collides head-on with a stationary 3 kg mass. If the two masses stick together after the collision, what is their combined velocity?

Accepted Answer

1.67 m/s

Answer

5 m/s

Answer

2.5 m/s

Answer

3.33 m/s

Question 47

A 1000 kg car traveling at 20 m/s applies its brakes, bringing the car to a stop in 5 seconds. What is the average braking force acting on the car?

Accepted Answer

-4000 N

Answer

-1000 N

Answer

-8000 N

Answer

-2000 N

Question 48

A 5 kg solid sphere with a radius of 0.2 m rolls without slipping down an inclined plane. Calculate the sphere's moment of inertia about its axis of rotation.

Accepted Answer

0.08 kg m²

Answer

0.16 kg m²

Answer

0.2 kg m²

Answer

0.04 kg m²

Question 49

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

Accepted Answer

3.33 m/s

Answer

4 m/s

Answer

5 m/s

Answer

2.5 m/s

Question 50

A force of 10 N acts on a 2 kg object for 3 seconds. What is the impulse imparted to the object?

Accepted Answer

30 Ns

Answer

15 Ns

Answer

6 Ns

Answer

20 Ns

Question 51

A uniform rod of length 1 m and mass 2 kg is pivoted at its centre. A force of 5 N is applied perpendicularly at one end of the rod. What is the magnitude of the torque produced?

Accepted Answer

2.5 Nm

Answer

5 Nm

Answer

10 Nm

Answer

1.25 Nm

Question 52

A ball of mass 0.5 kg is thrown vertically upwards with an initial velocity of 10 m/s. What is the maximum height reached by the ball (ignore air resistance)?

Accepted Answer

5.1 m

Answer

20 m

Answer

10 m

Answer

2.5 m

Question 53

A car of mass 1000 kg is travelling at 20 m/s. The brakes are applied, causing a constant deceleration of 5 m/s². What is the distance travelled by the car before it comes to a stop?

Accepted Answer

40 m

Answer

20 m

Answer

80 m

Answer

100 m

Question 54

A 5 kg block is placed on a rough horizontal surface. A horizontal force of 20 N is applied to the block, and it accelerates at 2 m/s². What is the coefficient of kinetic friction between the block and the surface?

Accepted Answer

0.2

Answer

0.6

Answer

0.8

Answer

0.4

Question 55

A uniform ladder of length 4 m and mass 10 kg leans against a smooth vertical wall. The ladder makes an angle of 60° with the horizontal ground. What is the magnitude of the normal force exerted by the wall on the ladder?

Accepted Answer

49.0 N

Answer

98.0 N

Answer

196 N

Answer

24.5 N

Question 56

A 2 kg mass is attached to a spring with a spring constant of 100 N/m. The mass is pulled 0.1 m from its equilibrium position and released. What is the period of the resulting simple harmonic motion?

Accepted Answer

0.89 s

Answer

1.78 s

Answer

3.56 s

Answer

0.45 s

Question 57

A projectile is launched with an initial velocity of 30 m/s at an angle of 45° to the horizontal. What is the horizontal range of the projectile (ignore air resistance)?

Accepted Answer

91.8 m

Answer

45.9 m

Answer

183.6 m

Question 58

A 10 kg object is lifted vertically upwards at a constant speed of 2 m/s. What is the power output required to lift the object?

Accepted Answer

196 W

Answer

980 W

Answer

392 W

Answer

98 W