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

A man on a bicycle, of total mass 100 kg, is free-wheeling at a constant speed of 15ms^-1 down a hill with a gradient 10% (i.e. sin^-1(0.10)). He wants to slow down to a safer speed, so he applies the brake lightly to produce a constant braking force of 84 N. The air resistance is proportional to the square of the speed.

a. Calculate the deceleration when he first applies the brake.

2. Relevant equations

3. The attempt at a solution

Several other questions follow.

Anyway the problem is the air resistance: in this model I know v^2 but I don’t know the constant k as in kv^2! I know how to solve these problems with k but without it I’m lost. Is there a way to work around the air resistance, i.e. without using k?

**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: Air resistance

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