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lolzwhut?
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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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