Classical Mechanics Quizzes: Test Your Understanding

Question 1

In classical mechanics, which force is NOT a fundamental force?

Accepted Answer

Magnetic force

Answer

Electrostatic force

Answer

Gravitational force

Answer

Strong nuclear force

Question 2

Which of the following is NOT considered a fundamental force in classical mechanics?

Accepted Answer

Frictional force

Answer

Gravitational force

Answer

Electrostatic force

Answer

Magnetic force

Question 3

A ball with mass 'm' is launched vertically upward with an initial velocity 'v'. Determine the work done by gravity on the ball during its upward journey.

Accepted Answer

-mgv

Answer

mgv

Answer

0

Answer

1/2 m v^2

Question 4

In projectile motion, which component of velocity remains constant throughout the trajectory, irrespective of the initial launch angle or air resistance?

Accepted Answer

Horizontal component of velocity

Answer

Vertical component of velocity

Answer

Total speed

Question 5

According to Newton's second law of motion, the acceleration of an object is directly proportional to which quantity?

Accepted Answer

Both its mass and the net force acting on it

Answer

Its mass only

Answer

The net force acting on it only

Answer

Neither its mass nor the net force acting on it

Question 6

A simple harmonic oscillator has a period of 2 seconds. What is its frequency?

Accepted Answer

1 Hz

Answer

0.5 Hz

Answer

2 Hz

Answer

4 Hz

Question 7

The work done by a constant force on an object is equal to the change in which quantity?

Accepted Answer

Kinetic energy

Answer

Potential energy

Answer

Total energy

Answer

Momentum

Question 8

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

Accepted Answer

20 m (Correct - Using the equation: v² = u² + 2as, where v = 0 m/s at maximum height, u = 20 m/s, a = -g = -9.8 m/s².)

Answer

10 m (Incorrect - The maximum height is reached when the velocity becomes zero.)

Answer

40 m (Incorrect - This is twice the correct answer.)

Answer

80 m (Incorrect - This is four times the correct answer.)

Question 9

A force of 100 N is applied to an object of mass 20 kg. What is the acceleration of the object?

Accepted Answer

5 m/s² (Correct - F = ma => a = F/m = 100 N / 20 kg = 5 m/s².)

Answer

1 m/s² (Incorrect - The acceleration is calculated using Newton's second law: F = ma.)

Answer

10 m/s² (Incorrect - This is twice the correct answer.)

Answer

20 m/s² (Incorrect - This is four times the correct answer.)

Question 10

A simple harmonic oscillator has a period of 1 second. What is its frequency?

Accepted Answer

1 Hz (Correct - Frequency = 1 / Period = 1 / 1 s = 1 Hz.)

Answer

0.5 Hz (Incorrect - Frequency is the reciprocal of period.)

Answer

2 Hz (Incorrect - This is twice the correct answer.)

Answer

4 Hz (Incorrect - This is four times the correct answer.)

Question 11

A particle moves in a circular path with a constant speed. Which of the following is true about its centripetal acceleration?

Accepted Answer

It is directed towards the centre of the circle. (Correct - Centripetal acceleration is always directed towards the centre of the circle.)

Answer

It is zero. (Incorrect - Centripetal acceleration is always present in circular motion.)

Answer

It is directed away from the centre of the circle. (Incorrect - Centripetal acceleration is always directed towards the centre of the circle.)

Answer

It is tangential to the circle. (Incorrect - Centripetal acceleration is always perpendicular to the velocity.)

Question 12

What is the work done by a constant force acting on an object moving in a straight line?

Accepted Answer

Force x distance (Correct - Work = Force x Distance.)

Answer

Force x time (Incorrect - Power = Force x Velocity.)

Answer

Force x velocity (Incorrect - Force is not multiplied by velocity to calculate work.)

Answer

Force x acceleration (Incorrect - Force is not multiplied by acceleration to calculate work.)

Question 13

According to Newton's second law, the acceleration of an object is inversely proportional to its:

Accepted Answer

Mass of the object

Answer

Force applied to the object

Answer

Time

Answer

Displacement of the object

Question 14

Which of the following is a scalar quantity?

Accepted Answer

Temperature

Answer

Velocity

Answer

Acceleration

Answer

Energy

Question 15

The period of oscillation of a simple pendulum is independent of its:

Accepted Answer

Amplitude of oscillation

Answer

Length

Answer

Mass of the bob

Answer

Strength of gravity

Question 16

The angular momentum of a rotating object is a measure of its:

Accepted Answer

Rotational inertia

Answer

Translational inertia

Answer

Linear momentum

Answer

Kinetic energy

Question 17

Which of the following is a consequence of Newton's third law of motion?

Accepted Answer

Action and reaction forces are equal in magnitude and opposite in direction

Answer

Momentum is conserved in a closed system

Answer

Energy is conserved in a closed system

Answer

Gravity is a fundamental force

Question 18

Which of the following is a vector quantity?

Accepted Answer

Force

Answer

Temperature

Answer

Mass

Answer

Time

Question 19

Momentum, a fundamental quantity in physics, is defined as the product of an object's:

Accepted Answer

Mass and velocity

Answer

Force and time

Answer

Energy and distance

Answer

Power and frequency

Question 20

Which of the following physical quantities is a vector quantity?

Accepted Answer

Acceleration

Answer

Mass

Answer

Speed

Answer

Time

Question 21

Work done on an object is given by the:

Accepted Answer

Product of force and displacement

Answer

Product of mass and acceleration

Answer

Product of energy and power

Answer

Product of momentum and velocity

Question 22

The coefficient of friction between two surfaces is a measure of the:

Accepted Answer

Force required to slide one surface over the other

Answer

Force required to roll one surface over the other

Answer

Force required to lift one surface over the other

Answer

Force required to accelerate one surface over the other

Question 23

The work done by a conservative force over a closed path is:

Accepted Answer

Zero

Answer

Positive

Answer

Negative

Answer

Path dependent

Question 24

A particle moves in a circular path of radius 'r' with a constant speed 'v'. The magnitude of its centripetal acceleration is:

Accepted Answer

v^2/r

Answer

2v^2/r

Answer

v^2/2r

Answer

0

Question 25

Which of the following is NOT a fundamental quantity in classical mechanics?

Accepted Answer

Charge

Answer

Mass

Answer

Length

Answer

Time

Question 26

Which of Newton's laws describes the relationship between an object's acceleration and the net force acting on it?

Accepted Answer

Second Law

Answer

First Law

Answer

Third Law

Answer

Law of Universal Gravitation

Question 27

The period of a simple pendulum depends on its:

Accepted Answer

Length only

Answer

Mass only

Answer

Amplitude only

Answer

Length and mass

Question 28

What is the SI unit of angular momentum?

Accepted Answer

Kilogram-meter squared per second

Answer

Newton-meter

Answer

Joule-second

Answer

Radian per second

Question 29

Which of the following is a vector quantity?

Accepted Answer

Velocity

Answer

Mass

Answer

Temperature

Answer

Energy

Question 30

The concept of 'inertia' refers to:

Accepted Answer

An object's resistance to changes in its motion

Answer

An object's resistance to changes in its shape

Answer

An object's resistance to changes in its temperature

Answer

An object's resistance to changes in its electrical properties

Question 31

A projectile is launched with an initial velocity v0 at an angle θ with respect to the horizontal. Which of the following factors does NOT affect the range of the projectile?

Accepted Answer

Mass of the projectile

Answer

Initial velocity (v0)

Answer

Launch angle (θ)

Answer

Acceleration due to gravity (g)

Question 32

To achieve the maximum horizontal distance for a projectile launched at an angle, what should be the launch angle?

Accepted Answer

45 degrees

Answer

0 degrees

Answer

90 degrees

Answer

It depends on the initial velocity of the projectile.

Question 33

Explain how a rocket maneuvers in space using Newton's laws of motion.

Accepted Answer

A rocket maneuvers by expelling mass in the direction opposite to the desired motion, creating thrust through Newton's third law.

Answer

Rockets utilize wings to generate lift and overcome gravitational forces.

Answer

Rockets can manipulate the gravitational field around them for maneuvering.

Answer

Solar sails are used by rockets to capture sunlight and propel themselves.

Question 34

A block of mass 2 kg is pushed across a frictionless surface by a force of 10 N. What is the acceleration of the block?

Accepted Answer

10 m/s²

Answer

5 m/s²

Answer

15 m/s²

Answer

20 m/s²

Question 35

Which of the following is not a fundamental force in nature?

Accepted Answer

Frictional force

Answer

Gravitational force

Answer

Electromagnetic force

Answer

Weak nuclear force

Question 36

A particle moves in a circular path of radius r with a constant speed v. What is the particle's centripetal acceleration?

Accepted Answer

v^2/r

Answer

Zero

Answer

v/r

Answer

r/v

Question 37

A harmonic oscillator of mass m attached to a spring of spring constant k oscillates with amplitude A. Determine the oscillator's total energy.

Accepted Answer

1/2kA^2

Answer

kA^2

Answer

1/2mA^2

Answer

mA^2

Question 38

A rigid body rotates about a fixed axis with angular velocity ω. If the radius of gyration of the rigid body is k, calculate its kinetic energy.

Accepted Answer

1/2Iω^2

Answer

Iω^2

Answer

1/2k^2ω^2

Answer

k^2ω^2

Question 39

A particle travels with velocity v when it experiences a constant acceleration a for time t. Determine the distance traveled by the particle in time t.

Accepted Answer

vt + 1/2at^2

Answer

vt

Answer

1/2at^2

Answer

at^2

Question 40

The period of oscillation of a simple pendulum of length l suspended from a fixed point is given by:

Accepted Answer

2π√(l/g)

Answer

π√(l/g)

Answer

2π√(g/l)

Answer

π√(g/l)

Question 41

A particle moves in a straight line with a constant velocity of 10 m/s. Which of the following graphs represents its position-time graph precisely?

Accepted Answer

A straight line with a slope of 10 m/s parallel to the time axis

Answer

A parabola

Answer

A hyperbola

Answer

A circle

Question 42

A particle moves in a circular path of radius 10 m. If its velocity is 20 m/s, what is its centripetal acceleration?

Accepted Answer

40 m/s² towards the center of the circular path

Answer

60 m/s²

Answer

80 m/s²

Answer

20 m/s²

Question 43

Which of the following quantities is a vector quantity?

Accepted Answer

Velocity

Answer

Mass

Answer

Time

Answer

Temperature

Question 44

What is the SI unit of force?

Accepted Answer

Newton

Answer

Pascal

Answer

Watt

Answer

Joule

Question 45

Which of the following is NOT one of Newton's three laws of motion?

Accepted Answer

The law of universal gravitation

Answer

The law of inertia

Answer

The law of acceleration

Answer

The law of action and reaction

Question 46

Which of the following is a vector quantity?

Accepted Answer

Displacement

Answer

Speed

Answer

Temperature

Answer

Volume

Question 47

Identify the SI unit of force.

Accepted Answer

Newton

Answer

Joule

Answer

Kilogram

Answer

Meter

Question 48

Which of these forces is considered fundamental?

Accepted Answer

Electrostatic force

Answer

Tension force

Answer

Frictional force

Answer

Normal force

Question 49

State the relationship between work and energy.

Accepted Answer

Work done on an object equals the change in its energy

Answer

Work done on an object equals its kinetic energy

Answer

Work done on an object equals its potential energy

Question 50

Identify the type of motion exhibited by a projectile launched into the air.

Accepted Answer

Parabolic

Answer

Linear

Answer

Elliptical

Answer

Circular

Question 51

What is the approximate value of the acceleration due to gravity on Earth's surface?

Accepted Answer

9.8 m/s^2

Answer

12 m/s^2

Answer

10 m/s^2

Answer

11 m/s^2

Question 52

The kinetic energy (K) of an object with mass (m) and velocity (v) is given by which formula?

Accepted Answer

K = 1/2 * m * v^2

Answer

K = 1/4 * m * v^2

Answer

K = m * v

Answer

K = m * v^3

Question 53

According to Newton's second law of motion, the acceleration (a) of an object is directly proportional to:

Accepted Answer

The net force (F) acting on the object

Answer

The mass (m) of the object

Answer

The displacement (x) of the object

Answer

The velocity (v) of the object

Question 54

The work (W) done by a constant force (F) acting through a displacement (d) in the direction of the force is given by:

Accepted Answer

W = F * d

Answer

W = d / F

Answer

W = F^2 * d

Answer

W = F / d

Question 55

The linear momentum of a system remains constant if:

Accepted Answer

No net external force acts on the system

Answer

The system accelerates

Answer

The total mass of the system changes

Answer

Internal forces act within the system

Question 56

The period (T) of oscillation of a simple pendulum is related to its length (L) and the acceleration due to gravity (g) by which formula?

Accepted Answer

T = 2π * √(L / g)

Answer

T = √(L / g)

Answer

T = 4π * √(L / g)

Answer

T = π * √(L / g)

Question 57

The frequency (f) of a wave is defined as:

Accepted Answer

The number of oscillations per second

Answer

The speed of the wave

Answer

The wavelength of the wave

Answer

The amplitude of the wave

Question 58

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

Accepted Answer

20 m/s²

Answer

10 m/s²

Answer

30 m/s²

Answer

40 m/s²

Question 59

A system of two masses (m1 and m2) is connected by a massless spring with a spring constant of 'k'. If the system is displaced from its equilibrium position by a distance 'x', what is the restoring force acting on the system?

Accepted Answer

-kx

Answer

-k/x

Answer

k/x

Answer

kx

Question 60

A satellite with a mass 'm' orbits the Earth with a mass 'M' in a circular path with a radius 'r'. What is the satellite's velocity?

Accepted Answer

(GM/r)^1/2

Answer

(GM/r)^4

Answer

(GM/r)^2

Answer

(GM/r)^3

Question 61

A ball is launched vertically upward with an initial velocity of 40 m/s.  How long does it take for the ball to reach its highest point? (Ignore air resistance)

Accepted Answer

4.1 s

Answer

2.0 s

Answer

6.2 s

Answer

8.3 s

Question 62

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

Accepted Answer

0 N

Answer

5 N

Answer

10 N

Answer

2.5 N

Question 63

A roller coaster car starts from rest at the top of a 20 meter hill.  What is its speed at the bottom of the hill? (Ignore friction and air resistance)

Accepted Answer

19.8 m/s

Answer

14.0 m/s

Answer

39.6 m/s

Answer

9.8 m/s

Question 64

A 5 kg object moving at 10 m/s collides head-on with a stationary 10 kg object. The two objects stick together after the collision. What is the velocity of the combined mass after the collision?

Accepted Answer

3.3 m/s

Answer

10 m/s

Answer

2.5 m/s

Answer

5 m/s