- #1

IbrahimA

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## Homework Statement

A child is pulling a wagon of mass 7.38 kg up a hill inclined at an angle of 14.3 degrees to the horizontal. The child applies a force parallel to the hill. The acceleration of the wagon is 6.45 cm/s^2 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.

FBD Diagram I drew:

Correct Answers on book:

(a) 18.3 N

(b) 70.1 N

## Homework Equations

Fnet = ma

(a) Fnet = -Fgx + Fa

(b) Fn = -Fgy

## The Attempt at a Solution

(a)

Fnet = (-Fgx) + Fa

ma = m(-g)(cos14.3) + Fa

(7.38)(0.0645) = (7.38)(-9.8)(cos14.3) + Fa

71.9 N = Fa

(b)

Fn = Fgy

Fn = (7.38)(-9.8)(cos14.3)

Fn = 11.7 N