How does it work?

Option 1: Just fill in the form with your homework question, and someone will respond shortly with an answer.

Option 2: Take a photo (or link) of your question, and email or text it to us.

Find coefficient of friction, given force and mass

Q: An engine provides 5.0 kN of force to keep a 1600-kg vehicle moving at a uniform speed. (Air resistance is negligible.) What is the coefficient of rolling friction between the tires and the road surface?

A: First convert 5.0 kN to Newtons: F = 5.0 kN = 5000 N. (Just like 5 kg = 5000 grams when measuring mass.)

You know it’s traveling at uniform speed, so this tells us that the right force = left force. There is no net force, because there is no acceleration!

F = 5000 N
m = 1600 kg
g = 9.8
$\mu$ = ?

Use this equation:

$F_f = \mu \cdot mg$ and solve for $\mu$.

$\mu = F_f / mg$
$\mu = (5000) / (1600)(9.8)$
$\mu = 0.32$