# Dynamics wagon problem

1. Nov 3, 2014

### Physics.101

• Member warned about not including efforts
1. The problem statement, all variables and given/known data
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.

2. Relevant equations
F=ma

3. The attempt at a solution

Last edited: Nov 3, 2014
2. Nov 3, 2014

### RUber

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

3. Nov 3, 2014

### OldEngr63

We need to have an FBD for the wagon.

4. Nov 3, 2014

### Physics.101

Is there any other way this problem can be solved?

5. Nov 3, 2014

### OldEngr63

Oh, I suppose you could just guess.

6. Nov 3, 2014

### Physics.101

ok

Last edited: Nov 3, 2014
7. Nov 3, 2014

### td21

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

8. Nov 3, 2014

### Physics.101

thank you for your help td21 :)

9. Nov 3, 2014

### Physics.101

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

10. Nov 3, 2014

### haruspex

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.