document.write( "Question 1161490: A box is given a push so that it slides across the floor. Given that the coefficient of kinetic friction is 0.15 and the push imparts an initial speed of 3.5 m/s. Determine how far it will go. \n" ); document.write( "
Algebra.Com's Answer #785077 by ikleyn(52803)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "The law of energy conservation says that the initial kinetic energy is equal to the work of the friction  force\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \"%28mv%5E2%29%2F2\" = k*m*g*x\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Cancel the common factor \"m\" (the mass) in both sides. Then substitute the given data and find the the length x \r\n" );
document.write( "\"how far it will go\".\r\n" );
document.write( "\r\n" );
document.write( "    \"3.5%5E2%2F2\" = 0.15*9.81*x\r\n" );
document.write( "\r\n" );
document.write( "    x = \"3.5%5E2%2F%282%2A0.15%2A9.81%29\" = 4.16 meters.    ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );