Master Dynamics: Enhance Your Mechanical Engineering Skills

Question 1

A constant net force is applied to a particle over a time interval. Which quantity remains constant during this interval?

Accepted Answer

Particle's acceleration

Answer

Particle's displacement

Answer

Particle's velocity

Answer

Particle's kinetic energy

Question 2

In a collision between two particles, which quantity is conserved?

Accepted Answer

Total momentum

Answer

Total kinetic energy

Answer

Total mechanical energy

Answer

Total angular momentum

Question 3

A rigid body rotates around a fixed axis. Which quantity is proportional to the square of its angular velocity?

Accepted Answer

Kinetic energy

Answer

Angular momentum

Answer

Moment of inertia

Answer

Torque

Question 4

Which type of motion is not possible for a particle constrained to a straight line?

Accepted Answer

Rotational motion

Answer

Uniform motion

Answer

Accelerated motion

Answer

Periodic motion

Question 5

A car of mass 1500 kg is traveling at a speed of 30 m/s. Calculate the kinetic energy of the car.

Accepted Answer

270 kJ

Answer

135 kJ

Answer

540 kJ

Answer

1080 kJ

Question 6

Which of the following is NOT a fundamental unit of the International System of Units (SI)?

Accepted Answer

Degree Fahrenheit

Answer

Meter

Answer

Kilogram

Answer

Second

Question 7

A particle moves 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

Cannot be determined

Question 8

Which of the following is NOT a type of energy?

Accepted Answer

Angular momentum

Answer

Kinetic energy

Answer

Potential energy

Answer

Thermal energy

Question 9

The work done by a force is equal to:

Accepted Answer

Force multiplied by displacement in the direction of the force

Answer

Force multiplied by velocity

Answer

Force multiplied by acceleration

Answer

Force multiplied by time

Question 10

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

Accepted Answer

Directly proportional to the net force acting on it

Answer

Inversely proportional to the mass of the object

Answer

Independent of the direction of the force

Answer

Equal to the force applied

Question 11

The impulse-momentum theorem states that:

Accepted Answer

The net impulse acting on an object is equal to the change in its momentum

Answer

The momentum of an isolated system is conserved

Answer

The force acting on an object is equal to its acceleration

Answer

The kinetic energy of an object is equal to its potential energy

Question 12

Which of the following is a vector quantity?

Accepted Answer

Velocity

Answer

Mass

Answer

Temperature

Answer

Volume

Question 13

Which formula precisely defines impulse?

Accepted Answer

Impulse = force × time

Answer

Impulse = mass × velocity

Answer

Impulse = work × time

Answer

Impulse = momentum × distance

Question 14

In a car collision with a wall, what occurs to the total momentum of the system (comprising the car and the wall)?

Accepted Answer

Momentum is conserved

Answer

Momentum is not conserved

Answer

Momentum is always zero

Answer

Momentum is always positive

Question 15

During the rotational motion of a rigid body about a fixed axis, which quantity is a vector?

Accepted Answer

Angular velocity

Answer

Angular displacement

Answer

Angular acceleration

Answer

Moment of inertia

Question 16

A 10 Nm torque is applied to a rigid body with a moment of inertia of 2 kg-m^2. What is the angular acceleration of the body?

Accepted Answer

2 rad/s^2

Answer

5 rad/s^2

Answer

10 rad/s^2

Answer

20 rad/s^2

Question 17

A simple harmonic oscillator has a frequency of 2 Hz and an amplitude of 0.1 m. What is the maximum velocity of the oscillator?

Accepted Answer

0.2 m/s

Answer

0.1 m/s

Answer

0.4 m/s

Answer

0.8 m/s

Question 18

A machine has an efficiency of 60%. If the input power is 10 kW, what is the output power?

Accepted Answer

6 kW

Answer

4 kW

Answer

8 kW

Answer

10 kW

Question 19

A particle moves along a straight line with constant velocity. What can be said about the particle's acceleration?

Accepted Answer

It is zero.

Answer

It is non-zero and constant.

Answer

It is non-zero and changing.

Question 20

In the International System of Units (SI), the unit of work is the:

Accepted Answer

Joule

Answer

Newton

Answer

Watt

Question 21

Which of the following **is not** a conserved quantity in classical mechanics?

Accepted Answer

Mass

Answer

Energy

Answer

Momentum

Question 22

When a ball is thrown vertically upward, which of the following quantities is zero at the highest point of its trajectory?

Accepted Answer

Velocity

Answer

Acceleration

Answer

Momentum

Question 23

The impulse of a force is defined as the:

Accepted Answer

Product of force and time

Answer

Product of force and distance

Answer

Ratio of force to time

Question 24

The primary mechanism responsible for the acceleration of a rocket launched into space is the:

Accepted Answer

Expulsion of mass

Answer

Gravitational pull

Answer

Air resistance

Question 25

Which principle states that the total work done by all forces acting on a system is equal to the change in its kinetic energy?

Accepted Answer

Work-Energy Principle

Answer

Impulse-Momentum Principle

Answer

Conservation of Energy Principle

Answer

Conservation of Momentum Principle

Question 26

A particle is projected vertically upwards with a velocity 'v'. What is its maximum height reached?

Accepted Answer

v^2/2g

Answer

v^2/g

Answer

2v^2/g

Answer

v^2/4g

Question 27

A block slides down an inclined plane of angle 'θ'. The coefficient of kinetic friction between the block and the plane is 'μ'. The acceleration of the block down the plane is:

Accepted Answer

g(sinθ - μcosθ)

Answer

g sinθ

Answer

g cosθ

Answer

g tanθ

Question 28

A particle is moving with a constant velocity. What can be concluded about the net force acting on the particle?

Accepted Answer

The net force is zero.

Answer

The particle is accelerating.

Answer

Work done by the net force is zero.

Answer

The momentum of the particle is increasing.

Question 29

A block of mass m is pulled horizontally across a frictionless surface by a force F. What is the acceleration of the block?

Accepted Answer

F/m

Answer

2F/m

Answer

m/F

Answer

2m/F

Question 30

A car of mass m is traveling at a steady speed v. What is the kinetic energy of the car?

Accepted Answer

1/2 mv^2

Answer

2 mv^2

Answer

mv^2

Answer

1/4 mv^2

Question 31

A flywheel with moment of inertia I and initial angular velocity ω0 is subjected to a constant torque τ. What is the angular acceleration of the flywheel?

Accepted Answer

τ/I

Answer

τI

Answer

I/τ

Answer

ω0τ

Question 32

Which of the following accurately states Newton's second law of motion?

Accepted Answer

Force is equal to mass multiplied by acceleration.

Answer

Force is equal to mass multiplied by velocity.

Answer

Acceleration is equal to force divided by mass.

Answer

Velocity is equal to displacement divided by time.

Question 33

A mass of 4 kg experiences a force of 20 N for 5 seconds. Determine the impulse applied to the mass.

Accepted Answer

80 Ns

Answer

20 Ns

Answer

5 Ns

Answer

4 Ns

Question 34

The kinetic energy of a moving object is given by the formula:

Accepted Answer

1/2 * mass * velocity^2

Answer

mass * velocity

Answer

1/2 * mass * acceleration

Answer

mass * acceleration^2

Question 35

A ball is thrown vertically upward with an initial velocity of 10 m/s. What will be its velocity at the highest point of its trajectory?

Accepted Answer

0 m/s

Answer

10 m/s

Answer

-10 m/s

Answer

5 m/s

Question 36

A pendulum with a length of 1 meter oscillates with a period of 2 seconds. What is the acceleration due to gravity?

Accepted Answer

9.8 m/s²

Answer

19.6 m/s²

Answer

4.9 m/s²

Answer

14.7 m/s²

Question 37

A system of particles is rotating about a fixed axis. Which of the following quantities is conserved?

Accepted Answer

Angular Momentum

Answer

Potential energy

Answer

Linear momentum

Answer

Kinetic energy

Question 38

A force of 100 N acts on a block of mass 20 kg resting on a horizontal surface. If the coefficient of kinetic friction between the block and the surface is 0.2, what is the acceleration of the block?

Accepted Answer

4 m/s²

Answer

6 m/s²

Answer

8 m/s²

Question 39

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

Accepted Answer

20.4 m

Answer

15.6 m

Answer

25.2 m

Answer

30.8 m

Question 40

A force of 50 N is applied to a body for 10 seconds. What is the impulse experienced by the body?

Accepted Answer

500 Ns

Answer

250 Ns

Answer

750 Ns

Answer

1000 Ns

Question 41

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

Accepted Answer

14 m/s

Answer

21 m/s

Answer

28 m/s

Answer

35 m/s

Question 42

A particle is moving with a velocity of 15 m/s in the positive x-direction. What is its displacement after 5 seconds?

Accepted Answer

75 m

Answer

25 m

Answer

125 m

Answer

50 m

Question 43

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

Accepted Answer

50 kg m/s

Answer

10 kg m/s

Answer

25 kg m/s

Answer

75 kg m/s

Question 44

A system of two particles has a total mass of 10 kg and a total momentum of 25 kg m/s. What is the velocity of the center of mass of the system?

Accepted Answer

2.5 m/s

Answer

3.5 m/s

Answer

4.5 m/s

Answer

1.5 m/s

Question 45

A particle is moving in a circular path of radius 5 m with a constant speed of 10 m/s. What is the centripetal acceleration of the particle?

Accepted Answer

20 m/s²

Answer

30 m/s²

Answer

10 m/s²

Answer

40 m/s²

Question 46

A particle starts from rest and moves with a constant acceleration of 3 m/s². What is its displacement after 5 seconds?

Accepted Answer

75 meters

Answer

90 meters

Answer

30 meters

Answer

60 meters

Question 47

A force of 10 Newtons is applied to a mass of 2 kilograms. What is the acceleration produced?

Accepted Answer

5 meters per second squared

Answer

10 meters per second squared

Answer

2 meters per second squared

Answer

15 meters per second squared

Question 48

A ball is thrown vertically upward with a velocity of 10 meters per second. What is its maximum height?

Accepted Answer

5 meters

Answer

2.5 meters

Answer

7.5 meters

Answer

10 meters

Question 49

A block slides down an inclined plane with an angle of 30 degrees. If the coefficient of kinetic friction is 0.2, what is the acceleration of the block?

Accepted Answer

5.88 meters per second squared

Answer

6.86 meters per second squared

Answer

7.84 meters per second squared

Answer

4.9 meters per second squared

Question 50

A car with a mass of 1000 kilograms is traveling at a speed of 20 meters per second. What is its kinetic energy?

Accepted Answer

100 kilojoules

Answer

400 kilojoules

Answer

200 kilojoules

Answer

50 kilojoules

Question 51

A spring with a spring constant of 100 Newtons per meter is stretched 5 centimeters. What is the potential energy stored in the spring?

Accepted Answer

1.25 joules

Answer

0.625 joules

Answer

5 joules

Answer

2.5 joules

Question 52

A bullet with a mass of 10 grams is fired with a velocity of 300 meters per second. What is its momentum?

Accepted Answer

3 kilogram meters per second

Answer

1 kilogram meters per second

Answer

6 kilogram meters per second

Answer

9 kilogram meters per second

Question 53

Two balls of equal mass collide head-on with equal speeds. The coefficient of restitution is 0.5. What is the ratio of the final velocity of the first ball to the final velocity of the second ball?

Accepted Answer

1:1

Answer

1:-1

Answer

1:2

Answer

2:1

Question 54

A rigid body rotates about a fixed axis with an angular acceleration of 2 radians per second squared. If the initial angular velocity is 5 radians per second, what is the angular velocity after 10 seconds?

Accepted Answer

25 radians per second

Answer

15 radians per second

Answer

45 radians per second

Answer

35 radians per second

Question 55

A torque of 10 Newton meters is applied to a flywheel with a moment of inertia of 2 kilogram meters squared. What is the angular acceleration of the flywheel?

Accepted Answer

5 radians per second squared

Answer

2 radians per second squared

Answer

10 radians per second squared

Answer

8 radians per second squared