(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I wasn't sure if i was doing this problem correctly, if anyone could double check for me, that would be great!

You ride your bicycle down a hill. Your total mass is 40 kg. At the top of the hill, your

speed is 5 m/s. The hill is 20 m high and 200 m long. If the force of friction is 20 N, what is

your speed at the bottom of the hill?

2. Relevant equations

3. The attempt at a solution

Top =

KE = 1/2 m v ^2

KE = 1/2 (40) (5)^2 = 500

PE = mgh

(40) (9.8) (20) = 7840

W = Fd

(20)(200)= 4000

7840 - 4000

=3840

3840 + 500 = 4340 = 1/2 (40) v ^2

divide both sides by 20

take the square root, and got 14.7 as my answer...

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Bike on a hill

**Physics Forums | Science Articles, Homework Help, Discussion**