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A crate weighing 850 N is pushed up an inclined plane a distance of 10.0 m. The plane makes an angle of 15.0 degrees with the horizontal and the crate moves with constant velocity. The coefficient of friction between the crate and the plane is 0.24. Calculate the work that is done in pushing the crate.
so....
Given: mass=850 N ,D=10.0 m , angle= 15.0 degrees , coefficient of friction= 0.24
Need to find= work?
Useful equations= work=horizontal force *distance
w=Fh*D
Fh=coefficient of friction *mg
mass *acceleration due to gravity
here mg=850 N
Fn=mgcos(15) degrees
Fh=mgsin(15) degrees

I know the answer is 4.2*10^3 J but im confused how to get it.

2007-01-09 06:16:18 · 4 answers · asked by dreamz 4 in Science & Mathematics Physics

4 answers

You appear to have done most of this one already...
Fn = mg(cos 15) = 821 N will give you the amount of the weight pushing into the slope, also the normal force
Fh = mg(sin 15) = 220 N will give you the amount of the weight pushing down the slope
The friction can be found using the equation
Ffriction = coefficient * Fn = .24*821 = 197 N

Two forces are pushing back on you, the part of the weight pushing down the slope and the friction, so the total force needed is:
Total force = Fh + Ffriction = 220N +197N = 417 N
Now the work is simply that force multiplied by the distance you push it.
W = Fd = (417N)(10.0m) = 4170 Nm = 4.2*10^3 J

2007-01-09 06:37:04 · answer #1 · answered by Nicknamr 3 · 2 0

ok first we need to calculate the friction which the crate experienced. which is the fric coefficient multiply by the mass of crate.

next we haf to understand that the work done by us is converted to the gain in potential energy of the crate plus the work done against the friction. or to put it simply,

work done by us = gain in gravitational potential energy + work done against the friction

gain in gravitational potential energy = increase in VERTICAL height multiply by acceleration due to gravity multiply by mass of crate

work done against the friction = friction multiply by distance moved along the plane which is (10.0m)

hope this helps :)

2007-01-09 06:31:41 · answer #2 · answered by lalala 1 · 0 0

Momentum=mass x pace So simply more than one the models by way of the pace where it's going. For instance, to uncover the momentum of query quantity a million, more than one the mass of the rifle by way of the bullet's pace. The relaxation of the opposite disorders makes use of the identical system, so simply repeat that system.

2016-09-03 19:02:43 · answer #3 · answered by ? 4 · 0 0

w = fd
w = 850N * 10.0 m
w = (850 newtons) * 10.0 meters = 8500 joules

2007-01-09 06:20:30 · answer #4 · answered by DanE 7 · 0 2

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