- 5

- 0

**[SOLVED] Object Traveling Up an Inclined Plane**

**1. Homework Statement**

In a circus performance, a monkey is strapped to a sled and both are given an initial speed of 2.0 m/s up a 19.0° inclined track. The combined mass of monkey and sled is 16 kg, and the coefficient of kinetic friction between sled and incline is 0.20. How far up the incline do the monkey and sled move?

**2. Homework Equations**

Sigma(F) = ma

**3. The Attempt at a Solution**

I drew a free body diagram and found the normal force using Sigma(Fy)=ma.

Normal Force - Weight y = 0

Normal Force = Weight y

Normal Force = (weight)(cos 19)

Normal Force = 148.257 N

I can now find the Force of Friction:

Force of friction = coefficient of friction * Normal Force

Force of Friction = (.20)(148.257 N)

Force of Friction = 29.65 N (In the negative x direction.)

Now I'm stuck. I'm not sure how to apply Newton's laws since there is no force in the positive x direction. Any help is appreciated. Thanks.