Question

A box is dragged across a floor by pulling on a rope attached to the crate and inclined 25 o above the horizontal. If the coefficient of static friction is 0.64, it requires a force of 350 N to just start it moving. What is the mass of the box

Answer 1

Answer:

$m=35.58 kg$

Explanation:

Using the first Newton's equation

$\Sum F_{T}=F-mgsin(25)-\mu mgcos(25)=0$

We just need to solve it for m:

$m=\frac{F}{g(sin(25)+\mu cos(25))}$

$m=\frac{350}{9.81(sin(25)+0.64cos(25))}$

$m=35.58 kg$

I hope it helps you!