Work Done on Trunk by Applied Force P: 8.83 J

AI Thread Summary
The discussion focuses on calculating the work done on a trunk pushed up an incline by a horizontal force and the work done by friction. The trunk has a mass of 2.3 kg and is pushed 187 cm at an incline of 18 degrees with a force of 225 N. The coefficient of kinetic friction is 0.22, leading to a calculated frictional force of 4.72 N and work done by friction of -8.83 J. A key mistake identified is the failure to account for the component of the applied force perpendicular to the ramp when determining the frictional force. Accurate calculations are crucial for determining the correct work done against friction.
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Homework Statement


A trunk of mass m = 2.3 kg is pushed a distance d = 187 cm up an incline with an angle of inclination q = 18.0° by a constant horizontal force P = 225 N (see figure). The coefficient of kinetic friction between the trunk and the incline is 0.22. Calculate the work done on the trunk by the applied force P.

Calculate the work done on the trunk by the frictional force.

[PLAIN]http://img706.imageshack.us/img706/9623/prob13a.gif


Homework Equations


work=F*D
Fk=Fn*Uf

The Attempt at a Solution



I solved for the work of the push, for the work of friction I am doing this

.22*2.3*9.81*cos(18)=4.72N
4.72N*1.87m=8.83 J, and because the work is on the negative direction of the movement its -8.83.

Keeps saying my answer is wrong.
 
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A simple mistake. You're doing it all correctly, and you're going to hate this. You simply forgot to consider the component of P that is perpendicular to the ramp when calculating the frictional force. =/
 
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