Forces and Energy: Interactive Learning Quizzes for Sixth Form College Physics

Question 1

A ball is launched horizontally from a height of 10 meters with a velocity of 15 meters per second. What horizontal distance does the ball travel before hitting the ground?

Accepted Answer

22.5 meters

Answer

15 meters

Answer

30 meters

Answer

45 meters

Question 2

A particle moves 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

mv²/r

Answer

0

Answer

2mv²/r

Answer

mv²/2r

Question 3

A particle moves in a circular path with a radius of 2.0 meters at a constant speed of 4.0 meters per second. What is the magnitude of the particle's centripetal acceleration?

Accepted Answer

8.0 m/s²

Answer

0 m/s²

Answer

2.0 m/s²

Answer

16.0 m/s²

Question 4

A cannonball is launched from the ground at an angle of 60° above the horizontal with a velocity of 25 m/s. At the highest point of its trajectory, what force acts on the cannonball?

Accepted Answer

Gravity

Answer

No force

Answer

Air resistance

Answer

Thrust

Question 5

Improved Question: A 2.0 kg mass moves with a velocity of 10 m/s. Calculate its kinetic energy.

Accepted Answer

20 J

Answer

10 J

Answer

50 J

Answer

100 J

Question 6

Improved Question: Which of the following forces is conservative?

Accepted Answer

Gravity

Answer

Friction

Answer

Tension

Answer

Air resistance

Question 7

Improved Question: What is the SI unit of energy?

Accepted Answer

Joule

Answer

Newton

Answer

Watt

Answer

Pascal

Question 8

Improved Question: A force of 10 N is applied to a body over a distance of 2 m. Calculate the work done.

Accepted Answer

10 J

Answer

5 J

Answer

20 J

Answer

40 J

Question 9

A projectile is launched at an angle to the horizontal. How does air resistance affect its range, maximum height, and time of flight?

Accepted Answer

Decreases range, decreases maximum height, increases time of flight

Answer

Increases range, increases maximum height, decreases time of flight

Answer

Decreases range, increases maximum height, decreases time of flight

Answer

Increases range, decreases maximum height, increases time of flight

Question 10

Which of the following is a vector quantity?

Accepted Answer

Velocity

Answer

Mass

Answer

Temperature

Answer

Time

Question 11

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

Accepted Answer

Every action has an equal and opposite reaction.

Answer

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

Answer

The momentum of a closed system remains constant.

Answer

Energy cannot be created or destroyed, only transferred or transformed.

Question 12

Which of the following is a characteristic of rotational motion?

Accepted Answer

It involves the movement of an object around a fixed axis.

Answer

The angular velocity is constant.

Answer

The angular acceleration is zero.

Answer

The kinetic energy is constant.

Question 13

A car of mass 1000 kg is moving at a velocity of 20 m/s. What is its kinetic energy?

Accepted Answer

1000 kJ

Answer

10 kJ

Answer

100 kJ

Answer

10000 kJ

Question 14

Which of the following is a unit of momentum?

Accepted Answer

Kilogram-meter per second

Answer

Newton-meter

Answer

Joule-second

Answer

Watt

Question 15

A particle of mass m moves in a circle of radius r with a constant speed. What is the magnitude of the force acting on the particle?

Accepted Answer

mv²/r

Answer

0

Answer

2mv²/r

Answer

mv²/2r

Question 16

A car of mass m starts from rest and accelerates over a distance d, reaching a final velocity of v. Calculate the work done by the net force acting on the car.

Accepted Answer

W = ½ * m * v^2

Answer

W = m * v * d

Answer

W = m * g * v

Answer

W = ½ * m * v

Question 17

A ball is launched horizontally with a velocity of 10 m/s from the top of a 20-meter building. What is the ball's speed just before it hits the ground?

Accepted Answer

28.3 m/s

Answer

10 m/s

Answer

14 m/s

Answer

40 m/s

Question 18

At the highest point of its trajectory, a ball thrown vertically upwards experiences:

Accepted Answer

Zero acceleration

Answer

Acceleration due to gravity (g)

Question 19

A 2 kg object experiences a force of 10 N for 5 seconds. What is its change in momentum?

Accepted Answer

20 kg m/s

Answer

10 kg m/s

Answer

40 kg m/s

Answer

50 kg m/s

Question 20

Identify the scalar quantity among the following:

Accepted Answer

Speed

Answer

Force

Question 21

What is the SI unit of torque?

Accepted Answer

Newton-meter

Answer

Newton

Answer

Joule

Answer

Watt

Question 22

Which factor does NOT affect rotational inertia?

Accepted Answer

Velocity of the object

Answer

Mass of the object

Answer

Distribution of mass about the axis of rotation

Answer

Shape of the object

Question 23

What type of force performs work that depends on the path taken between two points?

Accepted Answer

Non-conservative force

Answer

Conservative force

Answer

Frictional force

Answer

Gravitational force

Question 24

Which of the following is NOT a type of friction?

Accepted Answer

Magnetic friction

Answer

Static friction

Answer

Kinetic friction

Answer

Rolling friction

Question 25

A projectile is launched with an initial velocity of u m/s at an angle θ to the horizontal. Determine the equations that describe its horizontal (x) and vertical (y) displacements as functions of time (t), considering both horizontal and vertical motion.

Accepted Answer

x = u*t*cos(θ), y = u*t*sin(θ) - 0.5*g*t^2

Answer

x = u*t*sin(θ), y = u*t*cos(θ) - 0.5*g*t^2

Answer

x = u*t, y = u*t - 0.5*g*t^2

Answer

x = u*t*cos(θ), y = u*t - g*t^2

Question 26

A uniform rod of length L and mass M is pivoted at one end. A force F is applied perpendicular to the rod at a distance of L/3 from the pivot. What is the magnitude of the torque about the pivot?

Accepted Answer

FL/3

Answer

FL/2

Answer

FL

Answer

2FL

Question 27

A 100 N force is applied to a 2 kg block, causing it to move a distance of 5 m. How much work is done by the force?

Accepted Answer

400 J

Answer

200 J

Answer

500 J

Answer

1000 J

Question 28

A uniform circular motion has a centripetal force that is always directed towards the center of the circle. Why is the work done by the centripetal force zero?

Accepted Answer

The force is perpendicular to the displacement.

Answer

The force is constant.

Answer

The object's speed is constant.

Answer

The object's acceleration is zero.

Question 29

Which of the following is the formula for centripetal force acting on a mass moving in a circular path?

Accepted Answer

F = mv^2/r

Answer

F = mv/r

Answer

F = ma

Answer

F = Gm1m2/r^2

Question 30

Which of the following is a non-renewable energy source?

Accepted Answer

Fossil fuels

Answer

Solar energy

Answer

Wind energy

Answer

Hydroelectric energy

Question 31

A machine does 500 J of useful work while consuming 1000 J of energy. Calculate the efficiency of the machine.

Accepted Answer

25%

Answer

50%

Answer

75%

Answer

100%

Question 32

A torque of 20 Nm is applied to a wheel with a radius of 0.5 m. What is the angular acceleration of the wheel?

Accepted Answer

40 rad/s^2

Answer

20 rad/s^2

Answer

80 rad/s^2

Answer

60 rad/s^2

Question 33

A ball is thrown vertically upwards. Describe the acceleration of the ball during its flight.

Accepted Answer

The acceleration is due to gravity, and is constant and downwards throughout the flight.

Answer

The acceleration is zero at the top of the trajectory.

Answer

The acceleration is upwards during the ascent and downwards during the descent.

Question 34

A car travels around a curve at constant speed. Does the car have an acceleration?

Accepted Answer

Yes, the car has an acceleration because its velocity is changing.

Answer

The car has an acceleration only when it enters and exits the curve.

Answer

No, the car has no acceleration because its speed is constant.

Question 35

A 2 kg object moving at 5 m/s on a frictionless surface collides head-on with a stationary 4 kg object. If the objects stick together after the collision, what is their combined velocity?

Accepted Answer

1.67 m/s

Answer

2.5 m/s

Answer

10 m/s

Answer

5 m/s

Question 36

A spinning skater pulls in their arms. What happens to their angular velocity?

Accepted Answer

Increases

Answer

Stays the same

Answer

Cannot be determined

Answer

Decreases

Question 37

A ball is thrown horizontally from a cliff. Which of the following statements about the ball's horizontal velocity is correct?

Accepted Answer

The horizontal velocity remains constant.

Answer

The horizontal velocity increases.

Answer

The horizontal velocity decreases.

Answer

The horizontal velocity is zero at the highest point.

Question 38

A satellite is orbiting Earth in a circular path. Which statement about the satellite's acceleration is correct?

Accepted Answer

The acceleration is always directed towards the center of Earth.

Answer

The acceleration is always tangential to the circular path.

Answer

The acceleration is zero because its speed is constant.

Question 39

A bullet is fired from a gun. Which statement about its motion is correct?

Accepted Answer

The total momentum of the bullet-gun system is conserved.

Answer

The kinetic energy of the bullet is conserved.

Answer

The velocity of the bullet is conserved.

Answer

The potential energy of the bullet is conserved.

Question 40

A ball is thrown horizontally from a cliff with an initial horizontal velocity of 10 m/s. Neglecting air resistance, what is the horizontal velocity of the ball after 2 seconds?

Accepted Answer

10 m/s

Answer

0 m/s

Answer

20 m/s

Answer

5 m/s

Question 41

A satellite orbits Earth in a circular path at a constant speed. Which of the following best describes the forces acting on the satellite?

Accepted Answer

There is a net inward force acting on the satellite.

Answer

There are no forces acting on the satellite.

Answer

There is a net outward force acting on the satellite.

Question 42

A force of 10 N is applied to a 2 kg object, causing it to accelerate. What is the magnitude of the object's acceleration?

Accepted Answer

5 m/s²

Answer

20 m/s²

Answer

10 m/s²

Answer

2.5 m/s²

Question 43

Two objects of equal mass collide head-on with equal and opposite velocities. What is the total momentum of the system immediately after the collision?

Accepted Answer

0 kg·m/s

Answer

Dependent on the elasticity of the collision

Answer

Twice the momentum of one object before the collision

Answer

Equal to the momentum of one object before the collision

Question 44

A force of 5 N is applied tangentially to the rim of a wheel with a radius of 0.2 m. What is the magnitude of the torque produced by this force?

Accepted Answer

1 N·m

Answer

0.1 N·m

Answer

10 N·m

Answer

2 N·m

Question 45

A figure skater spins with her arms outstretched. When she pulls her arms in close to her body, what happens to her rotational inertia?

Accepted Answer

It decreases.

Answer

It depends on her angular velocity.

Answer

It increases.

Answer

It remains the same.

Question 46

A ball is thrown vertically upward. At its highest point, what is its kinetic energy?

Accepted Answer

0 J

Answer

Equal to its potential energy at that point

Answer

Maximum

Answer

Half of its initial kinetic energy

Question 47

A spring with a spring constant of 100 N/m is stretched 0.1 m from its equilibrium position. What is the magnitude of the elastic potential energy stored in the spring?

Accepted Answer

0.5 J

Answer

1 J

Answer

0.1 J

Answer

10 J

Question 48

An object is moving in a straight line with a constant acceleration. Which of the following graphs correctly represents its velocity-time graph?

Accepted Answer

A straight line with a non-zero slope

Answer

A sine wave

Answer

A horizontal line

Answer

A parabola

Question 49

A ball is thrown vertically upward. At the highest point of its trajectory, its:

Accepted Answer

Kinetic energy is zero, and its potential energy is maximum

Answer

Kinetic energy is maximum, and its potential energy is zero

Answer

Kinetic energy and potential energy are both maximum

Question 50

Identify the force that is NOT conservative:

Accepted Answer

Friction

Answer

Gravity

Answer

Electrostatic force

Answer

Elastic force

Question 51

Under which condition does the linear momentum of a system remain constant?

Accepted Answer

When the net external force acting on the system is zero

Answer

When the net external force acting on the system is constant

Answer

When the total mass of the system is constant

Question 52

A flywheel with a moment of inertia of 200 kg m² rotates at 100 rad/s. Calculate its kinetic energy.

Accepted Answer

100 kJ

Answer

50 kJ

Answer

200 kJ

Answer

25 kJ

Question 53

For a variable force F acting on a particle moving along a straight line, the work done is given by:

Accepted Answer

∫Fdx

Answer

Fd

Answer

∫Fdt

Answer

∫Fd²x

Question 54

A 10 kg block is pushed on a horizontal surface with a constant force of 20 N. The coefficient of kinetic friction between the block and the surface is 0.2. Determine the work done by the frictional force when the block moves a distance of 10 m.

Accepted Answer

40 J

Answer

20 J

Answer

80 J

Answer

10 J

Question 55

An engine produces a power output of 100 kW and performs 200 kJ of work in 4 seconds. Calculate the efficiency of the engine.

Accepted Answer

80%

Answer

40%

Answer

20%

Answer

60%

Question 56

A ball is released from a height of 10 m. It hits the ground with a coefficient of restitution of 0.5. Calculate the height to which it rebounds.

Accepted Answer

2.5 m

Answer

1.25 m

Answer

5 m

Answer

0.625 m