- #1

emilea

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## Homework Statement

A block with mass m=18.4 kg slides down a ramp of slope angled 43.5 deg with a constant velocity. It is then projected up the plane with a Vo=1.55 m/s. How far does it go before stipping?

## Homework Equations

Fnet=ma

Fg + Ff=Fnet

Ff=uk(Fn)

Fn=mgcos(theta)

a=(uk)cos(theta) + gsin(theta)

## The Attempt at a Solution

I drew a free body diagram to solve for the coefficient of friction down the ramp, which was uk=0.948. I then used that to find the acceleration down the ramp using the a=(uk)cos(theta) + gsin(theta), which was 7.45. Here is where I got stuck. I think I could use deltax=Vo(t) + (1/2)a(t)^2, but I don't know if the downward acceleration would still be applicable or how to find the time. The equation I was thinking of using is t=x/(Vocostheta)), but I don't know x or t. could I combine that equation with x=Vo(t) + 1/2a(t^2)? Am I even on the right track?