- #1

lolzwhut?

- 32

- 0

## Homework Statement

A woman pushes a 20 kg lawnmower at a steady speed. She exerts a 87 N force in a direction of 32 (degrees) below the horizontal. The acceleration of gravity is 9.8 m/s^2. Find the magnitude of the vertical force this lawnmower exerts on the lawn. Answer in units of N.

- So, mass of lawn mower is 20 kg.
- She exerts a 87 N force.
- Force is exerted at 32 degrees.
- Acceleration of gravity is 9.8 m/s^2.
- ?magnitude of the vertical force this lawnmower exerts on this lawn?

## Homework Equations

- F=ma
- Trigonometric: sin(x)

## The Attempt at a Solution

I first wanted to show you a picture of the problem:

http://img10.imageshack.us/img10/8034/lawnmowerproblm.jpg

So what I did:

|\

|..\

|...\ 87N

|x...\

|...\

|___x_32\

So I did Sin(32) = x/87

Sin(32)*87 = x

X = 46.103, thus which I thought was the downward force exerted.

Unfortunately it's not.

What am i doing wrong??!?

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