What are the forces on a wagon being pulled up an inclined hill?

[Physics.101]

Homework Statement

A child is pulling a wagon of mass 7.38 kg up a hill inclined at an angle of 14.3° to the horizontal. The child applies a force parallel to the hill. The acceleration of the wagon is 6.45 cm/s2 up the hill. Friction is negligible. Determine the magnitude of (a) the force applied by the child, and (b) the normal force on the wagon.

Homework Equations

F=ma

The Attempt at a Solution

[/B]

 

[RUber]

You might need some directional components for this one. Try drawing a diagram.

 

[OldEngr63]

We need to have an FBD for the wagon.

 

[Physics.101]

Is there any other way this problem can be solved?

 

[OldEngr63]

Oh, I suppose you could just guess.

 

[Physics.101]

ok

 

[td21]

Is there any other way this problem can be solved?

a) F = ma, what's F in this case?
b) N = mgcosθ

 

[Physics.101]

thank you for your help td21 :)

 

[Physics.101]

a) F = ma, what's F in this case?
b) N = mgcosθ

I understand b) now thanks :D but a) I am still having trouble understand how it is solved

 

[haruspex]

I understand b) now thanks :D but a) I am still having trouble understand how it is solved

1. List all the forces acting on the wagon.
2. For each force, determine the component of it parallel to the slope.
3. Write an equation corresponding to $\Sigma F = ma$ for the forces and acceleration parallel to the slope.