Mechanics 2 Quizzes: Master Kinematics, Dynamics, and More

Question 1

A projectile is launched at a velocity of 15 m/s at an angle of 45° with the horizontal. How long does it take the projectile to reach its maximum height?

Accepted Answer

1.0 s

Answer

2.0 s

Answer

3.0 s

Answer

4.0 s

Question 2

In a collision between two objects, what does a coefficient of restitution equal to zero imply?

Accepted Answer

The collision is inelastic.

Answer

The collision is elastic.

Answer

The collision is partially elastic.

Question 3

A girl is standing on frictionless ice. She throws a ball forward. Immediately after the ball leaves her hand, what are the forces acting on it?

Accepted Answer

The girl experiences a force in the forward direction, and the ball experiences an equal force in the backward direction.

Answer

The girl experiences a force in the backward direction, and the ball experiences an equal force in the forward direction.

Answer

The girl and the ball both experience forces in the forward direction.

Answer

The girl and the ball both experience forces in the backward direction.

Question 4

A ball thrown vertically upwards reaches its maximum height at which point?

Accepted Answer

When its velocity becomes zero

Answer

When its acceleration becomes zero

Answer

When its displacement from the starting point is maximum

Answer

When its kinetic energy is maximum

Question 5

A 0.5 kg particle moves in a circular path of radius 1 m at a constant speed of 2 m/s. What is the magnitude of the centripetal force acting on it?

Accepted Answer

1 N

Answer

0.5 N

Answer

2 N

Answer

4 N

Question 6

A 2 kg block rests on an inclined plane inclined at 30 degrees to the horizontal, what is the normal force acting on the block?

Accepted Answer

14.7 N

Answer

9.8 N

Answer

19.6 N

Answer

29.4 N

Question 7

A body of mass 'm' is moving in a straight line with constant velocity 'v'. The kinetic energy (KE) of the body is:

Accepted Answer

(1/2)mv^2

Answer

mv^2

Answer

(1/4)mv^2

Answer

2mv^2

Question 8

A system is in equilibrium if:

Accepted Answer

The net force acting on it is zero

Answer

The net acceleration of its parts is zero

Answer

The net energy of its parts is zero

Answer

The net momentum of its parts is zero

Question 9

A car of mass 1000 kg is travelling at a speed of 20 m/s. What is the kinetic energy of the car?

Accepted Answer

200 kJ

Answer

10 kJ

Answer

20 kJ

Answer

100 kJ

Question 10

A particle is moving in a circular path of radius 5 m. If the particle completes one revolution in 10 seconds, what is the angular velocity of the particle?

Accepted Answer

2.0 rad/s

Answer

0.5 rad/s

Answer

1.0 rad/s

Answer

4.0 rad/s

Question 11

A force of 10 N is applied to a body of mass 5 kg for 2 seconds. What is the impulse delivered to the body?

Accepted Answer

20 Ns

Answer

5 Ns

Answer

10 Ns

Answer

50 Ns

Question 12

A particle of mass 2.0 kg is moving in a straight line with a constant velocity of 5.0 m/s. What is the net force acting on the particle?

Accepted Answer

0 N

Answer

5.0 N

Answer

10 N

Answer

15 N

Question 13

A system is said to be in equilibrium if both the net force and net torque acting on it are zero. True or False?

Accepted Answer

True

Answer

False

Question 14

A particle of mass m is projected vertically upwards with an initial velocity u. What will be its acceleration at the highest point of its trajectory?

Accepted Answer

0

Answer

g

Answer

-g

Answer

2g

Question 15

A body of mass m moves in a circular path of radius r with a constant speed v. What is the direction of the centripetal force acting on the body?

Accepted Answer

Towards the center of the circle

Answer

Away from the center of the circle

Answer

Tangential to the circle

Answer

There is no centripetal force

Question 16

A particle of mass m is moving with a velocity v. What is the formula for its kinetic energy?

Accepted Answer

1/2mv^2

Answer

mv^2

Answer

1/4mv^2

Answer

2mv^2

Question 17

A spring with spring constant k is stretched by a distance x. What is the elastic potential energy stored in the spring?

Accepted Answer

1/2kx^2

Answer

kx^2

Answer

1/4kx^2

Answer

2kx^2

Question 18

A particle is moving in a circular path of radius 5 m with a speed of 10 m/s. What is its centripetal acceleration (in m/s²)?

Accepted Answer

5

Answer

2

Answer

10

Answer

20

Question 19

A projectile is fired from a height of 10 m with a velocity of 25 m/s at an angle of 45 degrees with the horizontal. What is its maximum height (in meters) above the ground?

Accepted Answer

37.5

Answer

12.5

Answer

25

Answer

50

Question 20

To calculate the work done by a force that varies with displacement, which mathematical operation should be performed?

Accepted Answer

Integrate the force with respect to displacement.

Answer

Differentiate the force with respect to displacement.

Answer

Multiply the constant force by the displacement.

Answer

Apply the formula W = Fd cosθ.

Question 21

A particle moves in a circular path of radius 5 m at a constant speed of 10 m/s. Calculate its centripetal acceleration.

Accepted Answer

4 m/s²

Answer

2 m/s²

Answer

6 m/s²

Answer

8 m/s²

Question 22

In an elastic collision, what happens to the total kinetic energy of the system?

Accepted Answer

Remains the same

Answer

Increases

Answer

Decreases

Answer

Cannot be determined

Question 23

A particle of mass m is projected vertically upwards with initial velocity u. What is the maximum height it will reach?

Accepted Answer

u^2/(2g)

Answer

u^2/(4g)

Answer

(u^2)/g

Answer

2(u^2)/g

Question 24

What is the work done by a constant force F acting on a particle that moves through a displacement s?

Accepted Answer

Fs

Answer

F/s

Answer

s/F

Answer

Fs^2

Question 25

Which of the following is a vector quantity?

Accepted Answer

Acceleration

Answer

Speed

Answer

Distance

Answer

Mass

Question 26

What is the unit of momentum in SI units?

Accepted Answer

Kilogram metre per second

Answer

Kilogram

Answer

Metre per second

Answer

Newton

Question 27

What is the relationship between the period (T) and frequency (f) of a wave?

Accepted Answer

T = 1/f

Answer

T = f

Answer

T = 2πf

Answer

f = 2πT

Question 28

A body of mass m moves in a circular path of radius r with constant speed v. What is the centripetal force acting on the body?

Accepted Answer

mv^2/r

Answer

mv^2/2r

Answer

2mv^2/r

Answer

4mv^2/r

Question 29

A system of two particles of masses m1 and m2 has velocities v1 and v2, respectively. What is the total momentum of the system?

Accepted Answer

m1v1 + m2v2

Answer

m1v1 - m2v2

Answer

(m1 + m2)v1

Answer

(m1 + m2)v2

Question 30

A particle moves with a constant velocity of 10 m/s. What is the acceleration of the particle?

Accepted Answer

0 m/s²

Answer

10 m/s²

Answer

-10 m/s²

Answer

Cannot be determined

Question 31

A 5 kg object is acted upon by a force of 20 N. What is the acceleration of the object, according to Newton's second law of motion?

Accepted Answer

0.5 m/s²

Answer

0.25 m/s²

Answer

4 m/s²

Answer

8 m/s²

Question 32

A ball is thrown vertically upwards with a velocity of 10 m/s. What is the velocity of the ball when it reaches its maximum height?

Accepted Answer

0 m/s

Answer

5 m/s

Answer

10 m/s

Answer

15 m/s

Question 33

A wheel rotates with an angular velocity of 10 rad/s. What is the angular displacement of the wheel after 5 seconds?

Accepted Answer

25 rad

Answer

5 rad

Answer

10 rad

Answer

50 rad

Question 34

A particle of mass 2 kg moves with a velocity of (3i + 4j) m/s. Calculate the magnitude of its momentum.

Accepted Answer

10 kg m/s

Answer

2 kg m/s

Answer

5 kg m/s

Answer

14 kg m/s

Question 35

Which of the following is a unit of momentum?

Accepted Answer

Newton

Answer

Joule

Answer

Kilogram

Answer

Meter per second

Question 36

A rocket engine generates a thrust of 1000 N. If the exhaust velocity is 500 m/s, calculate the mass flow rate of the propellant.

Accepted Answer

0.5 kg/s

Answer

1 kg/s

Answer

2 kg/s

Answer

5 kg/s

Question 37

Which of the following is an example of a simple harmonic motion?

Accepted Answer

Swinging of a pendulum

Answer

Rotation of a wheel

Answer

Motion of a car

Answer

Flight of a bird

Question 38

A ball is thrown vertically upwards with a velocity of 10 m/s. What is its velocity at the highest point of its trajectory?

Accepted Answer

0 m/s

Answer

5 m/s

Answer

10 m/s

Answer

15 m/s

Question 39

A car of mass 1200 kg travels around a bend of radius 50 m at a speed of 20 m/s. What is the magnitude of the centripetal force acting on the car?

Accepted Answer

7200 N

Answer

4800 N

Answer

6000 N

Answer

8400 N

Question 40

A block of mass 5 kg is acted upon by a force of 10 N. What is the acceleration of the block?

Accepted Answer

1 m/s^2

Answer

0.5 m/s^2

Answer

2 m/s^2

Answer

5 m/s^2

Question 41

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

Accepted Answer

1000 kJ

Answer

10 kJ

Answer

100 kJ

Answer

10000 kJ

Question 42

A particle moves in a straight line with a constant acceleration of 5 m/s^2. What is the displacement of the particle after 10 seconds?

Accepted Answer

100 m

Answer

25 m

Answer

50 m

Answer

200 m

Question 43

A particle of mass 1 kg is moving with a velocity of 5 m/s. If the momentum of the particle is doubled, what is the new velocity of the particle?

Accepted Answer

10 m/s

Answer

2.5 m/s

Answer

5 m/s

Answer

20 m/s

Question 44

A particle with mass 2 kg moves in a straight line with a velocity of 5 m/s. A force of 10 N acts on the particle for 3 seconds. Calculate the particle's final velocity.

Accepted Answer

15 m/s

Answer

8 m/s

Answer

10 m/s

Answer

20 m/s

Question 45

A spring with a spring constant of 100 N/m is stretched by 5 cm. Calculate the potential energy stored in the spring.

Accepted Answer

0.25 J

Answer

0.125 J

Answer

0.375 J

Answer

0.5 J

Question 46

A body of mass 2 kg is projected vertically upwards with a velocity of 10 m/s. What is the maximum height reached by the body, in meters?

Accepted Answer

20

Answer

10

Answer

5

Answer

25

Question 47

A spring of spring constant 'k' is stretched by a distance 'x'. The elastic potential energy, 'U', stored in the spring is:

Accepted Answer

kx²/2

Answer

2kx

Answer

kx/2

Answer

kx³

Question 48

A particle of mass 'm' is projected vertically upwards with a velocity 'u'. The acceleration due to gravity is 'g'. Calculate the maximum height reached by the particle.

Accepted Answer

u^2 / (2g)

Answer

2u / g

Answer

u / (2g)

Question 49

A body of mass 2 kg moves with a velocity of 5 m/s. A force of 10 N is applied to the body for 2 seconds. Determine the final velocity of the body.

Accepted Answer

15 m/s

Answer

20 m/s

Answer

5 m/s

Answer

10 m/s

Question 50

A particle of mass 'm' moves in a circular path of radius 'r' with a constant speed 'v'. Calculate the work done by the centripetal force acting on the particle.

Accepted Answer

Zero

Answer

mvr

Answer

1/2 mvr^2

Answer

mvr^2

Question 51

A simple pendulum of length 'l' is displaced through an angle 'θ' from its equilibrium position. Determine the potential energy stored in the pendulum at this position.

Accepted Answer

mgl(1 - cosθ)

Answer

mgl(θ)

Answer

mgl(cosθ)

Answer

1/2 mgl(1 - cosθ)

Question 52

A body is projected vertically upwards with a velocity 'u'. The maximum height achieved by the body is 'h'. Determine the velocity of the body at a height 'h/2'.

Accepted Answer

u/√2

Answer

√(2u)

Answer

u

Answer

u/2

Question 53

A system of particles is said to be in equilibrium when:

Accepted Answer

The net force acting on the system is zero

Answer

The maximum force is acting on the system

Answer

The minimum force is acting on the system

Answer

The constant force is acting on the system

Question 54

A car of mass 1000 kg is traveling at a constant speed of 20 m/s. What is its momentum?

Accepted Answer

20,000 kg m/s

Answer

40,000 kg m/s

Answer

50,000 kg m/s

Answer

10,000 kg m/s

Question 55

A ball is dropped from a height of 10 m above the ground. What is its velocity when it hits the ground?

Accepted Answer

14 m/s

Answer

10 m/s

Answer

28 m/s

Answer

7 m/s

Question 56

A ball is thrown vertically upwards with an initial velocity of 10 m/s. Ignoring air resistance, what is the maximum height reached by the ball?

Accepted Answer

5.1 m

Answer

2.5 m

Answer

10 m

Answer

7.5 m

Question 57

A force of 50 N acts on a mass of 2 kg. What is the acceleration produced?

Accepted Answer

25 m/s²

Answer

10 m/s²

Answer

50 m/s²

Answer

100 m/s²

Question 58

A car of mass 1000 kg is travelling at a speed of 20 m/s. What is the momentum of the car?

Accepted Answer

20,000 kg m/s

Answer

30,000 kg m/s

Answer

40,000 kg m/s

Answer

10,000 kg m/s

Question 59

A 0.5 kg object is attached to a spring with a spring constant of 20 N/m. The object is pulled 0.1 m from its equilibrium position and released. What is the maximum speed of the object?

Accepted Answer

2 m/s

Answer

8 m/s

Answer

4 m/s

Answer

1 m/s

Question 60

A particle with a mass of 2 kg is moving at a speed of 10 m/s. What is its kinetic energy?

Accepted Answer

100 J

Answer

250 J

Answer

200 J

Answer

50 J

Question 61

A particle is acted upon by a constant force. Which of the following is true about its motion?

Accepted Answer

The particle experiences a constant acceleration.

Answer

The particle's momentum remains constant.

Answer

The particle's displacement remains constant.

Answer

The particle's velocity remains constant.

Question 62

A 2 kg object is launched vertically upwards with an initial speed of 10 m/s. What is the maximum height it reaches?

Accepted Answer

5.1 m (approximately)

Answer

37.5 m

Answer

50 m

Answer

12.5 m

Question 63

A particle travels in a circle of radius 'r' with a constant speed 'v'. What is the magnitude of its acceleration?

Accepted Answer

v^2/r

Answer

rv

Answer

v^3/r

Answer

v/r

Question 64

Two particles have a combined momentum of zero. Which statement is true?

Accepted Answer

The particles have equal and opposite momenta.

Answer

The particles have the same velocity.

Answer

The particles have equal momenta.

Answer

The particles have zero kinetic energy.