Master Mechanics: Motion and Forces in Physics for Year 13

Question 1

An object with a mass of 2.0 kg is moving at a speed of 5.0 m/s. Calculate the kinetic energy of the object.

Accepted Answer

25 J

Answer

2.5 J

Answer

50 J

Answer

100 J

Question 2

Which of the following is **not** one of Newton's Laws of Motion?

Accepted Answer

The total energy of a closed system remains constant.

Answer

An object at rest stays at rest, and an object in motion keeps moving at the same speed and in the same direction unless acted on by an unbalanced force.

Answer

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

Answer

For every action, there is an equal and opposite reaction.

Question 3

According to Newton's first law of motion, what happens to an object at rest?

Accepted Answer

It remains at rest until acted upon by an external force.

Answer

It moves upward until it reaches its highest point.

Answer

It slides off a tilted surface.

Answer

It continues moving at a constant speed indefinitely.

Question 4

A car with a mass of 1000 kg is traveling at a constant speed of 10 m/s on a flat road. What is the magnitude of the net force acting on the car?

Accepted Answer

0 N

Answer

1000 N

Answer

100 N

Answer

10000 N

Question 5

An object is at rest. What will happen to it if no external force acts upon it, according to Newton's first law of motion?

Accepted Answer

Stay at rest

Answer

Move at a constant speed

Answer

Accelerate in a straight line

Answer

Slow down and stop

Question 6

Which of the following is NOT a type of mechanical wave?

Accepted Answer

Electromagnetic waves

Answer

Longitudinal waves

Answer

Transverse waves

Answer

Surface waves

Question 7

For a rigid body to be in equilibrium under the influence of multiple forces, which conditions must be satisfied?

Accepted Answer

The net force and the net torque acting on the body must both be zero.

Answer

The net force acting on the body must be non-zero, but the net torque must be zero.

Answer

The net torque acting on the body must be non-zero, but the net force must be zero.

Answer

The sum of all forces acting on the body must be non-zero.

Question 8

Distinguish between speed and velocity. Provide clear examples to illustrate your explanation, highlighting the vector nature of velocity.

Accepted Answer

Speed is a scalar quantity measuring the rate of motion, while velocity is a vector quantity encompassing both the rate and direction of motion.

Answer

Velocity is a scalar quantity measuring the rate of motion, while speed is a vector quantity encompassing both the rate and direction of motion.

Answer

Both speed and velocity are scalar quantities.

Answer

Both speed and velocity are vector quantities.

Question 9

A car travels around a circular track of radius 100 meters at a constant speed of 20 m/s. What is the centripetal acceleration of the car?

Accepted Answer

4 m/s²

Answer

2 m/s²

Answer

20 m/s²

Answer

40 m/s²

Question 10

A body with mass 'm' is moving with velocity 'v'. Calculate its kinetic energy:

Accepted Answer

1/2 * mv^2

Answer

mv

Answer

mv^2

Answer

1/2 * mv

Question 11

A simple pendulum of length 'l' has a time period 'T'. If the length is doubled, calculate the new time period:

Accepted Answer

2T

Answer

T

Answer

T/2

Answer

T/4

Question 12

A capacitor of capacitance 'C' is connected to a battery of voltage 'V'. Calculate the energy stored in the capacitor:

Accepted Answer

1/2 * CV^2

Answer

CV

Answer

CV^2

Answer

1/2 * CV

Question 13

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

Accepted Answer

Watt

Answer

Joule

Answer

Newton

Answer

Ampere

Question 14

What describes the vertical motion of a projectile launched upward from the ground?

Accepted Answer

Constant downward acceleration

Answer

Constant upward velocity

Answer

Constant upward acceleration

Answer

Constant downward velocity

Question 15

A car travels at a steady speed of 20 m/s for one hour. Calculate the distance it covers.

Accepted Answer

72 kilometers

Answer

20 kilometers

Answer

1200 meters

Answer

7200 meters

Question 16

Identify the SI unit of force.

Accepted Answer

Newton

Answer

Joule

Answer

Watt

Answer

Pascal

Question 17

A 5 kg mass experiences a force of 10 N. What is its acceleration?

Accepted Answer

2 m/s²

Answer

0.5 m/s²

Answer

10 m/s²

Answer

50 m/s²

Question 18

Which of the following forces is conservative?

Accepted Answer

Gravity

Answer

Friction

Answer

Tension

Answer

Air resistance

Question 19

Which of the following is an example of a simple machine?

Accepted Answer

Lever

Answer

Car engine

Answer

Computer

Answer

Electric motor

Question 20

Calculate the efficiency of a machine.

Accepted Answer

Work output divided by work input

Answer

Work input divided by work output

Answer

Force output divided by force input

Answer

Displacement output divided by displacement input

Question 21

A particle moves in a straight line with constant acceleration. Which of the following graphs best represents the relationship between velocity and time for the particle?

Accepted Answer

A straight line with a positive slope

Answer

A straight line with a negative slope

Answer

A parabola

Answer

A circle

Question 22

A block of mass 'm' is released from rest at the top of a frictionless inclined plane of height 'h'. What is the speed of the block when it reaches the bottom of the plane?

Accepted Answer

√(2gh)

Answer

√(gh)

Answer

2gh

Answer

gh

Question 23

Which of the following is NOT a vector quantity?

Accepted Answer

Mass

Answer

Velocity

Answer

Acceleration

Answer

Displacement

Question 24

A system is in equilibrium if the net force and net torque acting on it are both zero. Which of the following examples represents a system in equilibrium?

Accepted Answer

A book resting on a table

Answer

A car moving at a constant speed

Answer

A ball thrown vertically upwards

Answer

A person standing on a moving bus

Question 25

Which of the following is a unit of work?

Accepted Answer

Joule

Answer

Newton

Answer

Meter

Answer

Second

Question 26

A simple pendulum of length 'L' is swinging with an amplitude 'θ'. What is the time period of the pendulum?

Accepted Answer

2π√(L/g)

Answer

2π√(L/g)sinθ

Answer

2π√(g/L)sinθ

Answer

2π√(g/L)

Question 27

An object with a mass of 2 kg is moving at a speed of 10 m/s. Calculate its kinetic energy.

Accepted Answer

100 J

Answer

50 J

Answer

150 J

Answer

200 J

Question 28

A car with a mass of 1000 kg is traveling at a speed of 30 m/s. Calculate its momentum.

Accepted Answer

30,000 kg m/s

Answer

40,000 kg m/s

Answer

50,000 kg m/s

Answer

60,000 kg m/s

Question 29

Which quantity is a vector?

Accepted Answer

Displacement

Answer

Time

Answer

Mass

Answer

Volume

Question 30

A force of 100 N is applied to an object for 5 seconds. Calculate the work done by the force.

Accepted Answer

400 J

Answer

200 J

Answer

600 J

Answer

800 J

Question 31

Which of the following forces is a non-conservative force?

Accepted Answer

Friction force

Answer

Electrostatic force

Answer

Spring force

Answer

Gravitational force

Question 32

The impulse applied to a moving object is equal to the change in its:

Accepted Answer

Momentum

Answer

Kinetic energy

Answer

Potential energy

Answer

Velocity

Question 33

Which of the following is a vector quantity, which has both magnitude and direction?

Accepted Answer

Velocity

Answer

Mass

Answer

Temperature

Answer

Energy

Question 34

A ball is thrown vertically upwards with an initial velocity of 10 m/s. What will be its maximum height (ignoring air resistance)?

Accepted Answer

5 m

Answer

2.5 m

Answer

10 m

Answer

20 m

Question 35

Which of the following forces keeps an object moving in a circular path?

Accepted Answer

Tension in a string

Answer

Gravitational force

Answer

Friction

Answer

Normal force

Question 36

A lever is a simple machine that allows you to lift heavy objects with less force. How does a lever work?

Accepted Answer

Moment of force on one side equal to moment on the other

Answer

Balanced forces and equal arms

Question 37

A spring with a spring constant of 100 N/m is stretched by 0.1 m. Determine the energy stored in the spring.

Accepted Answer

0.5 J

Answer

1.0 J

Answer

1.5 J

Answer

2.0 J

Question 38

Which of the following is a conservative force?

Accepted Answer

Gravity

Answer

Friction

Answer

Tension

Answer

Air resistance

Question 39

Which of the following is an example of work done?

Accepted Answer

Lifting a book

Answer

Holding a book

Answer

Pushing against a wall

Answer

Thinking

Question 40

A machine does 100 J of useful work while consuming 150 J of energy. Calculate its efficiency.

Accepted Answer

60%

Answer

50%

Answer

70%

Answer

80%

Question 41

Which of the following is a vector quantity?

Accepted Answer

Acceleration

Answer

Speed

Answer

Mass

Answer

Volume

Question 42

An object moves with a constant speed along a circular path with radius R. Determine the direction of the centripetal force acting on the object.

Accepted Answer

Towards the centre of the circle

Answer

Along the tangent to the circle

Answer

Perpendicular to the plane of the circle

Answer

Along the radius of the circle

Question 43

Which of the following forces is non-conservative?

Accepted Answer

Frictional force

Answer

Gravitational force

Answer

Elastic force

Answer

Electrostatic force

Question 44

Identify the unit of angular momentum.

Accepted Answer

kg m²/s

Answer

kg m/s

Answer

N m

Answer

J/s

Question 45

A car with a mass of 1000 kg is travelling at a velocity of 10 m/s. Calculate its kinetic energy.

Accepted Answer

50 kJ

Answer

10 kJ

Answer

100 kJ

Answer

500 kJ

Question 46

A block with a mass of 2 kg is sliding on a frictionless horizontal surface. A constant force of 10 N is applied to the block for 5 seconds. Calculate its final velocity.

Accepted Answer

25 m/s

Answer

60 m/s

Answer

10 m/s

Answer

40 m/s

Question 47

A car of mass 'm' moving with a velocity 'v' applies brakes that provide a constant retarding force 'F'. What is the distance traveled by the car before coming to rest?

Accepted Answer

v^2 / 2F

Answer

Fv / 2

Answer

Fv^2 / 2

Answer

v / F

Question 48

Which of the following is NOT a conservative force?

Accepted Answer

Friction

Answer

Gravity

Answer

Electrostatic force

Answer

Elastic force

Question 49

In an elastic collision between two objects, which of the following quantities is conserved?

Accepted Answer

Total kinetic energy and total momentum

Answer

Total momentum only

Answer

Total kinetic energy only

Answer

Neither total kinetic energy nor total momentum

Question 50

A body of mass 'm' is thrown vertically upwards with a velocity 'u' from the surface of the Earth. What is the maximum height reached by the body?

Accepted Answer

u^2 / (2g)

Answer

u^2 / g

Answer

u / g

Answer

u / 2g

Question 51

A spring of spring constant 'k' is stretched by a displacement 'x'. What is the elastic potential energy stored in the spring?

Accepted Answer

(1 / 2)kx^2

Answer

(1 / 2)k / x^2

Answer

kx^2

Answer

k / (2x^2)

Question 52

Which of the following is a unit of power?

Accepted Answer

Watt

Answer

Newton

Answer

Joule

Answer

Coulomb

Question 53

A car travels on a circular track of 50 m radius at a speed of 20 m/s. Determine the centripetal force acting on the car.

Accepted Answer

8 kN

Answer

2 kN

Answer

4 kN

Answer

16 kN

Question 54

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

Accepted Answer

v^2/r

Answer

r/v

Answer

rv

Answer

v/r

Question 55

A block of mass 'm' is placed on an inclined plane of angle 'θ'. The coefficient of static friction between the block and the plane is 'μs'. What is the maximum angle 'θ' for the block to remain at rest?

Accepted Answer

tan^-1(μs)

Answer

cos^-1(μs)

Answer

cot^-1(μs)

Answer

sin^-1(μs)

Question 56

A simple pendulum of length 1 meter is swinging with small amplitude. What is the angular frequency of the pendulum?

Accepted Answer

(g/l)^0.5

Answer

(l/g)^0.5

Answer

g/θ

Answer

θ/g

Question 57

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

Accepted Answer

Elastic force

Answer

Electromagnetic force

Answer

Gravitational force

Answer

Strong nuclear force

Question 58

An object moving in a circular path at constant speed experiences which type of force?

Accepted Answer

Centripetal force

Answer

Frictional force

Answer

Gravitational force

Answer

Normal force

Question 59

Classify the following quantity: Temperature

Accepted Answer

Scalar quantity

Answer

Pseudovector quantity

Answer

Tensor quantity

Answer

Vector quantity

Question 60

A car travels at a steady speed of 20 m/s for a duration of 5 seconds. Calculate the distance covered by the car.

Accepted Answer

100 m

Answer

40 m

Answer

220 m

Answer

160 m

Question 61

Which of the following processes is not considered an energy transformation?

Accepted Answer

Elastic deformation

Answer

Kinetic to potential energy conversion

Answer

Electrical to thermal energy conversion

Answer

Chemical to kinetic energy conversion

Question 62

A block of mass 10 kg is pushed along a horizontal surface by a force of 20 N. Given a coefficient of kinetic friction of 0.2, calculate the acceleration of the block.

Accepted Answer

1.6 m/s²

Answer

2.4 m/s²

Answer

3.2 m/s²

Answer

0.8 m/s²

Question 63

Identify the SI unit of power.

Accepted Answer

Watt

Answer

Joule

Answer

Meter

Answer

Newton

Question 64

A ball is launched vertically upward with an initial velocity of 10 m/s. What is its maximum height above its launch point?

Accepted Answer

10.1 m

Answer

20.2 m

Answer

5.05 m