Practice Kinetic Friction in Physics

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

Quick Recap

The friction force that opposes sliding motion between two surfaces in contact; in the simple dry-friction model its magnitude is fk=ฮผkNf_k = \mu_k N, directed opposite to the motion.

Once something is moving, friction resists its motion โ€” less than static friction, but still present.

Showing a random 20 of 50 problems.

Example 1

easy
A 20โ€‰kg20\,\text{kg} box slides on a level floor with ฮผk=0.2\mu_k = 0.2 and g=10โ€‰m/s2g = 10\,\text{m/s}^2. Find the kinetic friction force.

Example 2

hard
A 3โ€‰kg3\,\text{kg} block slides up a 30โˆ˜30^\circ incline at 8โ€‰m/s8\,\text{m/s} with ฮผk=0.2\mu_k = 0.2 and g=10โ€‰m/s2g = 10\,\text{m/s}^2. How far up does it travel before momentarily stopping?

Example 3

easy
A 2 kg block slides on level ground, ฮผk=0.5\mu_k = 0.5, g=10โ€‰m/s2g = 10\,\text{m/s}^2. Find the friction force.

Example 4

hard
A 4โ€‰kg4\,\text{kg} block on level ground is pushed by a 30โ€‰N30\,\text{N} force directed 30โˆ˜30^\circ below horizontal. With ฮผk=0.3\mu_k = 0.3 and g=10โ€‰m/s2g = 10\,\text{m/s}^2, find the acceleration.

Example 5

medium
A block slides on level ground and decelerates at 3โ€‰m/s23\,\text{m/s}^2 due to friction alone. Find ฮผk\mu_k (g=10โ€‰m/s2g = 10\,\text{m/s}^2).

Example 6

challenge
A 2 kg block is launched up a 37โˆ˜37^\circ incline at 10โ€‰m/s10\,\text{m/s}. With ฮผk=0.25\mu_k = 0.25 and g=10โ€‰m/s2g = 10\,\text{m/s}^2 (sinโก37โˆ˜=0.6\sin 37^\circ = 0.6, cosโก37โˆ˜=0.8\cos 37^\circ = 0.8), how far up the incline does it travel before stopping?

Example 7

medium
A block decelerates at 4โ€‰m/s24\,\text{m/s}^2 on level ground due to friction alone (g=10โ€‰m/s2g = 10\,\text{m/s}^2). Find ฮผk\mu_k.

Example 8

challenge
A 3 kg block on level ground is pushed with 24โ€‰N24\,\text{N} for 2โ€‰s2\,\text{s} then released. With ฮผk=0.2\mu_k = 0.2, g=10โ€‰m/s2g = 10\,\text{m/s}^2, find the total distance until it stops.

Example 9

hard
Why does dragging a 10โ€‰kg10\,\text{kg} box at constant velocity require force only 30โ€‰N30\,\text{N}, less than its weight 100โ€‰N100\,\text{N}?

Example 10

medium
A block sliding with ฮผk=0.3\mu_k = 0.3 enters a level patch at 6โ€‰m/s6\,\text{m/s} and stops due to friction alone (g=10โ€‰m/s2g = 10\,\text{m/s}^2). How far does it travel?

Example 11

easy
A box on a horizontal surface has normal force N=50โ€‰NN = 50\,\text{N} and ฮผk=0.4\mu_k = 0.4. Find the kinetic friction force as it slides.

Example 12

hard
A 5โ€‰kg5\,\text{kg} block has ฮผk=0.4\mu_k = 0.4, g=10โ€‰m/s2g = 10\,\text{m/s}^2, and is pulled by a constant horizontal 30โ€‰N30\,\text{N} force from rest. Find its speed after 4โ€‰m4\,\text{m}.

Example 13

hard
Two blocks of mass 2โ€‰kg2\,\text{kg} and 3โ€‰kg3\,\text{kg} are connected by a string on a level table, ฮผk=0.2\mu_k = 0.2 both, g=10โ€‰m/s2g = 10\,\text{m/s}^2. A 25โ€‰N25\,\text{N} force pulls the 3โ€‰kg3\,\text{kg} block. Find the acceleration.

Example 14

easy
Kinetic friction on a sliding puck is fk=6โ€‰Nf_k = 6\,\text{N} with normal force N=30โ€‰NN = 30\,\text{N}. Find ฮผk\mu_k.

Example 15

challenge
A 2โ€‰kg2\,\text{kg} block is launched up a 53โˆ˜53^\circ incline at 12โ€‰m/s12\,\text{m/s}. With ฮผk=0.25\mu_k = 0.25 and g=10โ€‰m/s2g = 10\,\text{m/s}^2 (sinโก53โˆ˜=0.8\sin 53^\circ = 0.8, cosโก53โˆ˜=0.6\cos 53^\circ = 0.6), how far up the incline does it travel before stopping?

Example 16

medium
A 10โ€‰kg10\,\text{kg} block on level ground is pushed with 40โ€‰N40\,\text{N}, ฮผk=0.3\mu_k = 0.3, g=10โ€‰m/s2g = 10\,\text{m/s}^2. Find the net horizontal force.

Example 17

medium
A 3โ€‰kg3\,\text{kg} block slides 5โ€‰m5\,\text{m} on level ground with ฮผk=0.4\mu_k = 0.4, g=10โ€‰m/s2g = 10\,\text{m/s}^2. How much heat is generated?

Example 18

medium
A 4โ€‰kg4\,\text{kg} block slides on level ground with ฮผk=0.25\mu_k = 0.25 and no applied force (g=10โ€‰m/s2g = 10\,\text{m/s}^2). Find its deceleration.

Example 19

medium
A block slides 4 m across a floor against kinetic friction fk=8โ€‰Nf_k = 8\,\text{N}. How much mechanical energy is converted to heat?

Example 20

easy
A 50โ€‰N50\,\text{N} horizontal push moves a 10โ€‰kg10\,\text{kg} box at constant velocity on a level floor. Find ฮผk\mu_k (g=10โ€‰m/s2g = 10\,\text{m/s}^2).