Practice Momentum in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Worksheet PDF Free Answer-key PDF Family

Quick Recap

The product of an object's mass and velocity, representing the quantity of motion it carries.

How hard it is to stop something moving. Heavy and fast = lots of momentum.

Showing a random 20 of 50 problems.

Example 1

medium

Which has greater momentum: a

10 \text{ kg}

object at

4 \text{ m/s}

, or a

4 \text{ kg}

object at

10 \text{ m/s}

Example 2

hard

60 \text{ kg}

person stands on a

40 \text{ kg}

raft, both at rest. The person walks at

1.5 \text{ m/s}

east relative to the ground. Find the raft's velocity (frictionless water).

Example 3

easy

A bicycle and rider have a total mass

80 \text{ kg}

and move at

4 \text{ m/s}

. What is their momentum?

Example 4

challenge

3

kg object at

4

m/s and a

1

kg object at rest. After collision the

3

kg moves at

2

m/s (same direction). Find the

1

kg object's velocity.

Example 5

challenge

0.1

kg ball moving at

20

m/s is struck and reverses to

25

m/s in

0.01

s. Find the average force on it.

Example 6

medium

Two balls:

3

kg at

+4

m/s and

2

kg at

-5

m/s. What is the total momentum of the system?

Example 7

easy

1500

kg car travels at

20

m/s. Find its momentum.

Example 8

easy

0.2

kg arrow flies at

40

m/s. Find its momentum.

Example 9

challenge

Two equal-mass balls move toward each other, each at

4

m/s. They stick together. Find their common velocity (closed system).

Example 10

medium

A net force of

4 \text{ N}

acts on a

2 \text{ kg}

object for

3 \text{ s}

. Find the change in momentum.

Example 11

easy

3

kg object has momentum

15

\cdot

m/s. What is its velocity?

Example 12

easy

2 \text{ kg}

ball moves at

5 \text{ m/s}

. What is its momentum?

Example 13

easy

Which has more momentum: a

2

kg ball at

6

m/s or a

4

kg ball at

2

m/s?

Example 14

medium

0.05 \text{ kg}

bullet at

300 \text{ m/s}

embeds in a

2.95 \text{ kg}

block at rest on a frictionless surface. Find the combined speed afterward.

Example 15

medium

3 \text{ kg}

object moving north at

5 \text{ m/s}

is acted on by a

6 \text{ N}

force north for

2 \text{ s}

. Find its final velocity.

Example 16

challenge

Two equal-mass carts collide elastically: cart A at

6 \text{ m/s}

hits stationary cart B. Find the velocities of both after the collision.

Example 17

medium

Two skaters of masses

50 \text{ kg}

and

70 \text{ kg}

stand at rest. They push off and the

50 \text{ kg}

skater moves at

1.4 \text{ m/s}

east. Find the

70 \text{ kg}

skater's velocity.

Example 18

medium

1200

kg car at

15

m/s and a

800

kg car at

15

m/s travel the same way. Find the total momentum.

Example 19

easy

What velocity must a

0.5 \text{ kg}

ball have to possess a momentum of

15 \text{ kg m/s}

Example 20

medium

0.15

kg baseball at

30

m/s is caught and stopped. What is the magnitude of its momentum change?

← Back to Momentum Worked Examples Formula Explained

Related Concepts

Mass Velocity Impulse Conservation of Momentum