document.write( "Question 160954: A 60 kg skier is pulled by a rope up a frictionless slope that is inclined at an angle of 20 degree with the horizontal. The rope pulls parallel to the slope and has a tension of 230N. Calculate the skier's acceleration. \n" ); document.write( "

Algebra.Com's Answer #118614 by Fombitz(32388) $\"\"$ $\"About$

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There is no frictional force acting on the skier but there is a component of gravity acting against the skier.
\n" ); document.write( "The force balance, parallel to the slope, would be
\n" ); document.write( " $\"T-mgsin%28alpha%29=ma\"$
\n" ); document.write( "where T is the tension of the rope and $\"alpha\"$ is the angle of incline,
\n" ); document.write( " $\"a=%28T-mgsin%28alpha%29%29%2Fm\"$
\n" ); document.write( " $\"a=%28230-60%289.8%29sin%2820%29%29%2F60\"$
\n" ); document.write( " $\"a=0.48\"$
\n" ); document.write( "The skier accelerates at a rate of 0.48 m/s^2. \n" ); document.write( "

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