- #1

brake4country

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## Homework Statement

A 10 kg mass is on a frictionless inclined plane 30 degrees to the horizontal. At the top of the plane is a pulley that has a rope attached to mass with tension T = 75 N. If the mass starts from rest, what is its velocity after 2 seconds?

## Homework Equations

F = ma

V

_{f}=V

_{i}+ at

## The Attempt at a Solution

So my book lists the formula as T = mgsinθ + ma. I set the problem up pretty much the same as:

∑F

_{x}= ma

_{x}

75 N - 10 N = (10 kg) a

My acceleration is 6.5 m/s

^{2}. Plugging this value into v

_{f}=v

_{i}+ at, I get 13.0 m/s but my book says it's supposed to be 5 m/s. What am I doing wrong? Thanks in advance!