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datadisha datadisha
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Posts: 19
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11 years ago
A 330-kg piano slides 3.6 m down a 28 dagree incline and is kept from accelerating by a man who is pushing back on it parrallel to the incline.  The effective coefficient of kinetic friction is 0.40. How do you calculate the work done by the friction foce,and the work done by the force of gravity?
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wrote...
11 years ago
Force normal to the plane is mg*cos(28) = 2855.5 newtons
force of friction against movement = 0.40* 2855.5 = 1142.2 N

work by friction = force of friction * distance = 1142.2 N* 3.6 m
4111.9 newton meters

summation of forces parallel to the plane:

0 = mg*sin(28) -4111.9 N -man's push

Still, mg*sin(28)* distance is the work done by gravity 5465.8 J
wrote...
11 years ago
a)Wf= Ff*S=(N*f)*S
Wf=(m*g*cos28*f)*S
Wf=(330*10*cos28*0.4)*3.6
Wf=4196 Joules
b)Wg=Fg*S
Wg=(m*g*sin28)*S
Wg=(330*10*sin28)*3.6
Wg=5577 Joules
Wt=Wf+Wg
Wt=4196+5577
Wt=9773 Joules
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