Linear Momentum: Definition, Formula, and Applications in Biomechanics

Question 1

What is the formula for calculating linear momentum?

Accepted Answer

p = mv

Answer

p = mv^2

Answer

p = 1/2mv^2

Answer

p = m/v

Question 2

A ball of mass 2 kg is moving at a velocity of 5 m/s. Calculate its linear momentum.

Accepted Answer

10 kg m/s

Answer

5 kg m/s

Answer

2 kg m/s

Answer

25 kg m/s

Question 3

Identify the scenario that represents a closed system in terms of linear momentum.

Accepted Answer

A ball rolling on a flat surface with no friction

Answer

A ball bouncing off a wall

Answer

A car driving down a busy road

Answer

A person jumping up in the air

Question 4

In a system with no external forces acting upon it, what happens to the total linear momentum of the system?

Accepted Answer

It remains constant

Answer

It increases

Answer

It decreases

Answer

It becomes zero

Question 5

An object of mass 10 kg moving at a velocity of 2 m/s collides with a stationary object of mass 5 kg. Calculate the total linear momentum of the system after the collision.

Accepted Answer

15 kg m/s

Answer

5 kg m/s

Answer

10 kg m/s

Answer

20 kg m/s

Question 6

Which of the following factors are known to influence the linear momentum of an object?

Accepted Answer

Both mass and velocity

Answer

Mass

Answer

Velocity

Answer

Neither mass nor velocity

Question 7

Identify the example that represents linear motion.

Accepted Answer

A ball rolling down a hill

Answer

A pendulum swinging

Answer

A person running in a circle

Answer

A car driving on a curved road

Question 8

What is the definition of linear momentum?

Accepted Answer

The product of an object's mass and its velocity

Answer

The rate of change of an object's velocity

Answer

The amount of force applied to an object

Answer

The energy of an object in motion

Question 9

A car with a mass of 1000 kg is moving at 20 m/s. What is its linear momentum?

Accepted Answer

2000 kg m/s

Answer

20 kg m/s

Answer

1000 kg m/s

Answer

500 kg m/s

Question 10

What happens to the total linear momentum of a closed system?

Accepted Answer

It remains constant

Answer

It increases

Answer

It decreases

Answer

It fluctuates

Question 11

What is the momentum of a 2 kg ball that is at rest?

Accepted Answer

0 kg m/s

Answer

2 kg m/s

Answer

4 kg m/s

Answer

8 kg m/s

Question 12

Which of the following is the definition of impulse?

Accepted Answer

A force applied for a short duration of time

Answer

A force applied slowly and steadily

Answer

A force applied for a long duration of time

Answer

A force applied in a circular path

Question 13

Which of the following is a limitation of linear momentum?

Accepted Answer

It does not account for rotational motion

Answer

It does not consider air resistance

Answer

It does not apply to objects that collide

Answer

It is only valid for objects moving in a straight line

Question 14

What is the equation for calculating linear momentum?

Accepted Answer

p = mv

Answer

F = ma

Answer

W = Fd

Answer

E = ½mv²

Question 15

According to the principle of conservation of linear momentum, the total momentum of a closed system always remains constant.

Accepted Answer

True

Answer

False

Question 16

Which of the following is NOT a factor that affects an object's momentum?

Accepted Answer

Height

Answer

Mass

Answer

Velocity

Answer

Direction

Question 17

Which unit is used to measure momentum?

Accepted Answer

Kilogram-meters per second (kg m/s)

Answer

Newton-seconds (Ns)

Answer

Joules (J)

Answer

Watts (W)

Question 18

How can the momentum of a system be increased?

Accepted Answer

Both of the above.

Answer

Add mass to the system.

Answer

Increase the velocity of the system.

Answer

Neither of the above.

Question 19

Which formula accurately calculates linear momentum?

Accepted Answer

p = mv

Answer

p = mv^2

Answer

p = m/v

Answer

p = v/m

Question 20

Which of the following statements accurately defines linear momentum?

Accepted Answer

Linear momentum is a vector quantity that measures an object's motion.

Answer

Linear momentum is a scalar quantity that quantifies an object's energy.

Answer

Linear momentum applies exclusively to objects in motion.

Answer

Linear momentum is conserved in all types of collisions.

Question 21

Which example illustrates Newton's third law of motion in relation to linear momentum?

Accepted Answer

A person jumping off the ground exerts a force on the ground equal and opposite to the force the ground exerts on them.

Answer

A car accelerating forward due to the force applied by the engine on the wheels.

Question 22

Which of the following characteristics accurately describes linear momentum?

Accepted Answer

Linear momentum is a vector quantity.

Answer

Linear momentum is identical to kinetic energy.

Answer

Linear momentum can only be positive.

Answer

Linear momentum is unrelated to velocity.

Question 23

How do you calculate linear momentum?

Accepted Answer

Mass multiplied by velocity

Answer

Force multiplied by time

Answer

Impulse multiplied by time

Answer

Mass multiplied by acceleration

Question 24

A 70 kg sprinter runs at a velocity of 8 m/s. Calculate their linear momentum.

Accepted Answer

560 kg·m/s

Answer

56 kg·m/s

Answer

9.8 kg·m/s

Answer

5600 kg·m/s

Question 25

In a head-on collision, player A (500 kg·m/s) and player B (-400 kg·m/s) collide. Determine the total momentum of the system after the collision.

Accepted Answer

100 kg·m/s

Answer

0 kg·m/s

Answer

900 kg·m/s

Answer

-100 kg·m/s

Question 26

Identify an example that demonstrates the principle of conservation of momentum in sports:

Accepted Answer

A golfer hitting a golf ball, causing the club's velocity to decrease after impact.

Answer

A swimmer pushing off the pool wall to gain speed.

Answer

A weightlifter holding a barbell stationary above their head.

Question 27

A 0.15 kg tennis ball changes its velocity from -20 m/s to 30 m/s upon being hit by a racket. Calculate the impulse experienced by the ball.

Accepted Answer

7.5 kg·m/s

Answer

-0.75 kg·m/s

Answer

-7.5 kg·m/s

Answer

2.25 kg·m/s

Question 28

To maximize horizontal distance in a long jump, what linear momentum principle should be utilized?

Accepted Answer

Increase horizontal velocity just before take-off.

Answer

Jump higher to increase time in the air.

Answer

Decrease mass to increase acceleration.

Question 29

Explain the relationship between impulse and momentum.

Accepted Answer

Impulse is equal to the change in momentum.

Answer

Impulse is independent of momentum.

Answer

Impulse is the inverse of momentum.

Answer

Impulse is the square of momentum.

Question 30

In a perfectly elastic collision, which physical quantities are always conserved?

Accepted Answer

Both momentum and kinetic energy.

Answer

Only momentum.

Answer

Only kinetic energy.

Answer

Neither momentum nor kinetic energy.

Question 31

Explain why gymnasts tuck their body during a somersault.

Accepted Answer

Tucking reduces the moment of inertia, enabling a faster rotation.

Answer

Tucking lowers linear momentum, slowing the gymnast down.

Answer

Tucking increases the moment of inertia, making the gymnast more stable.