Physics QBank Question #17

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Physics QBank Question #17

Post by muntahaali » Mon Apr 27, 2020 1:29 pm

A 10-kg sled rests on a 30° ramp with a coefficient of static friction of 0.5. An upward force is applied to the sled, parallel to the slope of the ramp, in incremental values until the sled begins to accelerate up the ramp. Approximately what minimum force is required to perform this action?

Can someone please explain this question to me?
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Re: Physics QBank Question #17

Post by NS_Tutor_Mathias » Wed Apr 29, 2020 7:59 pm

In order to accelerate the sled up the ramp you will need to overcome the force of static friction and the component of the force of gravity acting parallel to the ramp.

So we just go ahead and find what those are:

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Framp = mgsin(30) = 100*0.5 = 50 N
Fstatic = mgcos(30)*mu = 100*0.87*0.5 = 43.5 N
Fopposing = 93.5 N
So the minimum force to make the box start moving is at least 93.5 N, or about 95 N.

In essence, you have to push the box hard enough to overcome gravity to get it going - but you also, on top of that, have to overcome the force of static friction keeping it in place.
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