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## Homework Statement

A person pulls on a rope attached to a 5 kg sled. The rope makes an angle of 30 degrees with the horizontal. Sled accelerates horizontally at 1.7 m/s^2. There is no friction.

## Homework Equations

ma = Fnet

mg = Fgravity

## The Attempt at a Solution

Fnorm = earth force up on sled

Fr = the force of the rope of the sled being pulled

The x and y components for Fr would be y = Frsinθ and x=Frcosθ.

Vector of Fnorm = <0, Fnorm>

Vector of Fg = <0, -50>

Vector of Fr = <Frcos30, Frsin30>

Fnetx => 8.5 = Frcos30

Fnety => 0 = Fc - 50 + Frsin30

So I got this far and starting doing algebraic stuff to solve for Fr and then plugging that into the second equation. From there, I solved for Fc, and the value was 45.095 N. And from the Fnetx equation, Fr = 9.8 N.

However, when I added all the magnitudes of forces, my answer does not equal to the Fnet, which is ma = 8.5 N.

Can someone help me with this? Have I forgotten something? Am I even doing this right?