Dynamics: Master the Fundamentals of Motion and Forces

Question 1

Which of the following is NOT a fundamental Newton's law of motion?

Accepted Answer

Law of Momentum Conservation

Answer

Law of Inertia

Answer

Law of Action-Reaction

Answer

Law of Universal Gravitation

Question 2

The work done by a constant force acting on an object over a displacement is:

Accepted Answer

Force multiplied by displacement

Answer

Force multiplied by velocity

Answer

Displacement multiplied by velocity

Answer

Force multiplied by acceleration

Question 3

Which of the following is a vector quantity?

Accepted Answer

Acceleration

Answer

Mass

Answer

Speed

Answer

Temperature

Question 4

The moment of inertia of a point mass about an axis is:

Accepted Answer

Zero

Answer

Equal to its mass

Answer

Proportional to its radius

Answer

Inversely proportional to its radius

Question 5

The principle of superposition in dynamics states that:

Accepted Answer

The resultant force is the vector sum of individual forces acting on a body

Answer

The resultant displacement is the sum of individual displacements

Answer

The resultant acceleration is the sum of individual accelerations

Answer

The resultant velocity is the sum of individual velocities

Question 6

The angular momentum of a rotating body is:

Accepted Answer

Moment of inertia multiplied by angular velocity

Answer

Mass multiplied by velocity

Answer

Mass multiplied by acceleration

Answer

Force multiplied by time

Question 7

The normal force exerted on an object placed on a horizontal surface is:

Accepted Answer

Equal to its weight

Answer

Greater than its weight

Answer

Less than its weight

Answer

Zero

Question 8

Which of the following is **not** a fundamental principle of dynamics?

Accepted Answer

Thermodynamics

Answer

Newton's laws of motion

Answer

Kinematics

Answer

Energy methods

Question 9

A particle moves with constant acceleration. Which of the following graphs **best** represents the relationship between its velocity and time?

Accepted Answer

Linear

Answer

Parabolic

Answer

Exponential

Answer

Logarithmic

Question 10

Which of the following is the SI unit of energy?

Accepted Answer

Joule

Answer

Newton

Answer

Watt

Answer

Volt

Question 11

Which of the following is a definition of moment of inertia?

Accepted Answer

A measure of an object's resistance to rotation

Answer

A measure of an object's mass

Answer

A measure of an object's velocity

Answer

A measure of an object's energy

Question 12

Which of the following is the equation for Newton's third law of motion?

Accepted Answer

F = -F'

Answer

F = ma

Answer

E = mc²

Answer

PV = nRT

Question 13

Which of the following is **not** a Newton's law of motion?

Accepted Answer

Law of conservation of momentum

Answer

Law of inertia

Answer

Law of acceleration

Answer

Law of action and reaction

Question 14

An object with constant velocity has:

Accepted Answer

Zero acceleration

Answer

Positive acceleration

Answer

Negative acceleration

Answer

Non-zero acceleration

Question 15

The SI unit of force is:

Accepted Answer

Newton

Answer

Kilogram

Answer

Meter

Answer

Second

Question 16

Which of the following is a conservative force?

Accepted Answer

Gravity

Answer

Friction

Answer

Normal force

Answer

Tension

Question 17

The work done by a constant force acting through a displacement is:

Accepted Answer

Force x displacement

Answer

Force / displacement

Answer

Displacement / force

Answer

Force + displacement

Question 18

Which of the following is a vector quantity?

Accepted Answer

Speed

Answer

Time

Answer

Mass

Answer

Temperature

Question 19

Which of the following options most accurately describes Newton's second law of motion?

Accepted Answer

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

Answer

The force acting on an object is inversely proportional to its acceleration.

Answer

The momentum of an object is conserved in the absence of any external forces.

Answer

The energy of an object is conserved in the absence of any external forces.

Question 20

Which of the following is categorized as a conservative force?

Accepted Answer

Gravity

Answer

Friction

Answer

Tension

Answer

Drag

Question 21

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

Accepted Answer

400 kJ

Answer

100 kJ

Answer

200 kJ

Answer

800 kJ

Question 22

Which of the following is considered to be a vector quantity?

Accepted Answer

Velocity

Answer

Mass

Answer

Temperature

Answer

Volume

Question 23

When a rigid body undergoes pure rotation about a fixed axis, which of the following quantities remains conserved?

Accepted Answer

Angular momentum

Answer

Linear momentum

Answer

Energy

Answer

Velocity

Question 24

According to Newton's second law of motion, the force acting on an object is directly proportional to:

Accepted Answer

Mass and acceleration

Answer

Velocity

Answer

Displacement

Answer

Density

Question 25

Which of the following is categorized as a conservative force?

Accepted Answer

Gravity

Answer

Friction

Answer

Air resistance

Answer

Tension

Question 26

The work done by a force acting on a particle is mathematically defined as:

Accepted Answer

Force multiplied by displacement

Answer

Force multiplied by velocity

Answer

Force multiplied by acceleration

Answer

Force multiplied by time

Question 27

Which of Newton's laws of motion describes how objects at rest remain at rest and objects in motion maintain their velocity unless acted upon by an external force?

Accepted Answer

Newton's First Law of Motion

Answer

Newton's Second Law of Motion

Answer

Newton's Third Law of Motion

Question 28

Which of the following is the SI unit of force?

Accepted Answer

Newton

Answer

Joule

Answer

Watt

Question 29

Which of the following is a conservative force?

Accepted Answer

Gravity

Answer

Friction

Answer

Air resistance

Question 30

A machine operates at an efficiency of 80%. If the input power is 100 W, what is the output power?

Accepted Answer

80 W

Answer

50 W

Answer

100 W

Question 31

Which of the following is a vector quantity?

Accepted Answer

Velocity

Answer

Mass

Answer

Temperature

Question 32

A uniform rod of length L and mass M is pivoted about one end. What is the time period of small oscillations of the rod?

Accepted Answer

T = (2π√L/g)

Answer

T = (2π√g/L)

Answer

T = (4π√L/g)

Answer

T = (4π√g/L)

Question 33

A particle with mass 'm' is moving with velocity 'v'. The kinetic energy of the particle is:

Accepted Answer

1/2 * mv^2

Answer

2mv^2

Answer

mv^2

Answer

1/4 * mv^2

Question 34

A force 'F' is applied to an object with mass 'm'. The acceleration produced is:

Accepted Answer

F/m

Answer

F*m

Answer

m^2/F

Answer

m/F

Question 35

A projectile is launched vertically upward with an initial velocity 'u'. The maximum height reached by the projectile is:

Accepted Answer

u^2/(2g)

Answer

2gu^2

Answer

u^2/g

Answer

g/u^2

Question 36

A body with mass 'm' is moving with a constant velocity 'v'. The work done by an external force to keep the body moving is:

Accepted Answer

Zero

Answer

mgh

Answer

1/2 * mv^2

Answer

Fv

Question 37

A particle moves in a circular path with radius 'r' and a constant speed 'v'. The centripetal force acting on the particle is:

Accepted Answer

mv^2/r

Answer

v^2/mr

Answer

r/mv^2

Answer

mv/r

Question 38

A system is in equilibrium when the net force acting on it is:

Accepted Answer

Zero

Answer

Non-zero

Answer

Maximum

Answer

Minimum

Question 39

The moment of inertia of a thin rod of length 'L' and mass 'M' about an axis perpendicular to the rod and passing through its center is:

Accepted Answer

ML^2/12

Answer

ML/3

Answer

3ML^2

Answer

ML^3/3

Question 40

The angular momentum of a rotating body is conserved when there is:

Accepted Answer

No external torque acting on the body

Answer

Constant external torque acting on the body

Answer

Constant angular velocity of the body

Answer

Time-varying external torque acting on the body

Question 41

A body is launched vertically upward with an initial velocity 'v'. What is the body's maximum attainable height?

Accepted Answer

v^2 / 2g

Answer

2v^2 / g

Answer

g / 2v^2

Answer

v^2 / g

Question 42

A particle of mass 'm' travels in a circular path of radius 'r' with a constant speed 'v'. What is the magnitude of the centripetal force acting on the particle?

Accepted Answer

mv^2 / r

Answer

mv / r^2

Answer

2mv^2 / r

Question 43

A system comprises two particles of equal mass 'm' connected by a massless spring with spring constant 'k'. The system is placed on a frictionless horizontal surface and released from rest. What is the maximum velocity achieved by each particle?

Accepted Answer

√(k / m)

Answer

k / m

Answer

2√(k / m)

Question 44

A block of mass 'm' slides down a frictionless inclined plane that makes an angle 'θ' with the horizontal. What is the block's acceleration?

Accepted Answer

g * sin(θ)

Answer

g * cos(θ)

Answer

g * tan(θ)

Answer

g

Question 45

A rigid body rotates about a fixed axis with an angular velocity 'ω'. Which quantity is NOT conserved?

Accepted Answer

Kinetic energy

Answer

Moment of inertia

Answer

Angular momentum

Question 46

A particle moves in a straight line with a velocity 'v' and experiences a constant force 'F' perpendicular to its direction of motion. What is the work done by the force over a displacement 'd'?

Accepted Answer

0

Answer

d / F

Answer

F / d

Answer

F * d

Question 47

A $2$-kilogram particle moves with a velocity of $10$ m/s. Determine its momentum.

Accepted Answer

20 kg m/s

Answer

40 kg m/s

Answer

30 kg m/s

Answer

10 kg m/s

Question 48

A particle moves in a circular path of radius $2$ m with a constant speed of $10$ m/s. Calculate its centripetal acceleration.

Accepted Answer

50 m/s²

Answer

25 m/s²

Answer

75 m/s²

Answer

100 m/s²

Question 49

A 10 kg object is subjected to a net force of 50 N. Calculate the acceleration of the object.

Accepted Answer

5 m/s² (Acceleration = Force / Mass)

Answer

500 m/s²

Answer

10 m/s²

Answer

0.2 m/s²

Question 50

A vehicle maintains a constant velocity of 20 m/s for 5 seconds. Determine the distance covered by the vehicle.

Accepted Answer

100 m (Distance = Speed × Time)

Answer

1000 m

Answer

25 m

Answer

4 m

Question 51

A projectile is launched vertically upwards with an initial velocity of 10 m/s. Calculate the maximum height attained by the projectile.

Accepted Answer

5.1 m (Maximum Height = (Initial Velocity)² / (2 × Acceleration due to Gravity))

Answer

20 m

Answer

1 m

Answer

10 m

Question 52

A 5 kg object is in motion with a velocity of 4 m/s. Calculate the kinetic energy possessed by the object.

Accepted Answer

40 J (Kinetic Energy = 1/2 × Mass × (Velocity)²)

Answer

10 J

Answer

20 J

Answer

80 J

Question 53

A 10 kg object rests on a frictionless surface. A force of 20 N is applied to the object. Calculate the acceleration experienced by the object.

Accepted Answer

2 m/s² (Acceleration = Force / Mass)

Answer

4 m/s²

Answer

0.5 m/s²

Answer

10 m/s²

Question 54

A vehicle traveling at a constant speed of 30 m/s engages its brakes, causing a deceleration of 5 m/s². Determine the time it takes for the vehicle to come to a complete stop.

Accepted Answer

6 seconds (Time = (Final Velocity - Initial Velocity) / Deceleration)

Answer

3 seconds

Answer

1 second

Answer

15 seconds

Question 55

A ball is thrown horizontally from a cliff with an initial velocity of 15 m/s. The cliff has a height of 20 meters. Calculate the time taken for the ball to reach the ground.

Accepted Answer

2 seconds (Time = √(2 × Height / Acceleration due to Gravity))

Answer

1 second

Answer

4 seconds

Question 56

A roller coaster car possesses 1000 J of potential energy at the top of a hill. If the car loses 200 J of energy to friction as it descends the hill, what is its kinetic energy at the bottom of the hill?

Accepted Answer

800 J (Kinetic Energy = Potential Energy - Energy Lost to Friction)

Answer

600 J

Answer

1200 J

Answer

1000 J