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## Homework Statement

in the design of a spermarket there are to be several ramps connecting different parts of the store. customers will have to push grocery cats up the ramps and it is obviously desirable that this is not be too difficult. The engineer has done a survey and found that almost no noe complains if the force directed up the ramp is no more than 20N. Ignoring friction at what maximum angle (theta) should the ramps be built assuming a full 30kg grocery cart.

## Homework Equations

F=mg

mg sin(theta)= Fapp

Fapp= force applied=20N

## The Attempt at a Solution

ok i understand this question or so i thought but every time i try to work it out i dont get the answer which is supposed to be 5.9 degrees... Here's my work

F=mg

F=30*9.8

F=294N

mg *sin(theta)=20N

294*sin(theta)=20N

sin(theta)=.068027

theta=3.9 ????