- #1

Joseph Hotto

## Homework Statement

Someone mistakenly threw away a lovely couch, and you decide to take it back to your apartment. You push it with a force of 350 Newtons and at 30 degrees below the horizontal at 2 m/s. The coefficents of friction are μs = 0.4 and μf = 0.3. What is the couch's mass?

## Homework Equations

Fs = μsN

N = mgcosθ

F = ma

## The Attempt at a Solution

Fs = (0.4) (350 N)

= 140 N <- Force of static friction

ΣFx = (350) = (2m/s) * M + 2 (0.4) * M - 2(0.3 M)

350N = mg (cos(330 degrees)

350 = 0.866 mg