document.write( "Question 1182828: At the instant a truck is travelling along a level pavement at 20 m/s, a wooden crate falls from the truck. If the crate travels 40 meters before coming to rest, what is the coefficient of kinetic friction between the crate and the road? \n" ); document.write( "

Algebra.Com's Answer #812918 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "At the instant a truck is travelling along a level pavement at 20 m/s, a wooden crate falls from the truck.
\n" ); document.write( "If the crate travels 40 meters before coming to rest, what is the coefficient of kinetic friction between
\n" ); document.write( "the crate and the road?
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document.write( "In this Physics problem, we are given that a wooden crate slides along the level pavement,\r\n" );
document.write( "having the initial speed of 20 m/s, and stops after traveling 40 meters.\r\n" );
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document.write( "The simplest way to solve the problem is to apply the Law of Conservation mechanical energy.\r\n" );
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document.write( "From one side, we have the kinetic energy    of the sliding crate,\r\n" );
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document.write( "where  \"m\"  is its mass and \"v\"  is its initial speed.\r\n" );
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document.write( "From the other side, we have the work of the friction force  F*d,  where F is the friction force  k*(m*g),\r\n" );
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document.write( "k is the kinematic friction coefficient,  g is the gravity acceleration and  \"d\"  is the the breaking distance (given).\r\n" );
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document.write( "The Conservation Law of mechanical energy allows us to write this equation\r\n" );
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document.write( "     = k*m*g*d.\r\n" );
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document.write( "First, we cancel the mass in both sides and then we get the formula for the friction coefficient\r\n" );
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document.write( "    k =  =  =  = 0.5.\r\n" );
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document.write( "ANSWER.  Under given conditions, the kinematic friction coefficient is  0.5.\r\n" );
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