document.write( "Question 160953: a 20 kg is pulled on a horizontal frictionless surface by a rope that makes an angle of 37 degree with the horizontal. Calculate the tension in the rope if the block accelerates at 2m/s2. \n" ); document.write( "

Algebra.Com's Answer #118615 by Fombitz(32388) $\"\"$ $\"About$

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There is no frictional force acting on the block but there is a component of gravity acting against the block.
\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( " $\"T-mgsin%28alpha%29=ma\"$
\n" ); document.write( " $\"T=ma%2Bmgsin%28alpha%29\"$
\n" ); document.write( " $\"T=20%282%29%2B20%289.8%29sin%2837%29\"$
\n" ); document.write( " $\"T=40%2B118\"$
\n" ); document.write( " $\"T=158\"$
\n" ); document.write( "The tension on the rope is 158 N. \n" ); document.write( "

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