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OpenStudy (anonymous):

A block is sliding up an incline and slowing due to friction. What is the nature of the frictional force the block exerts on the incline? a. The same magnitude and direction as the friction force the incline exerts on the block b. The same magnitude and opposite direction as the friction force the incline exerts on the block c. The same direction but less than the magnitude of the frictional force the incline exerts on the block d. The opposite direction but more than the magnitude of the frictional force the incline exerts on the block. e. The opposite direction but less than the magnitu

OpenStudy (anonymous):

the rest of e:e. The opposite direction but less than the magnitude of the frictional force the incline exerts on the block @Michele_Laino Do you think you could check my answer if you have time? I think it is (B.) because opposite reactions are equal, but since its slowing the friction has to be opposite, is that right?

OpenStudy (michele_laino):

hint: |dw:1428630199912:dw| R is the friction force, and F is the force exerted by the inclined plane on the block. Now the motion of the block is possible, since the magnitude of the force F is greater than the magnitude of the force R. If we have F=R, then the block can not move on the inclined plane Furthermore, if F<R the block can not miove on the inclined plane

OpenStudy (michele_laino):

oops...move*

OpenStudy (anonymous):

but its going up the plane??

OpenStudy (michele_laino):

sorry, it is going down the plane!

OpenStudy (anonymous):

and its slowing down

OpenStudy (michele_laino):

yes!

OpenStudy (michele_laino):

here is the right drawing: |dw:1428630679869:dw|

OpenStudy (michele_laino):

the motion of the block is possible, if F>R. If F=R then the block can not move on the inclined plane

OpenStudy (anonymous):

oh so i got the opposite direction part but in other words your saying that friction has to be greater because its stopping?

OpenStudy (michele_laino):

the friction force has to be equal to the driving force, so our block can not move on the inclined plane

OpenStudy (anonymous):

wait so the forces are equal? Im sorry im confused I was looking at the drawing

OpenStudy (michele_laino):

we can have three cases: case #1 F>R--->our block is going up case #2 F=R---> our block is at the rest, it can not move case #3 R>F ---> our block is at the rest, it can not move

OpenStudy (anonymous):

ok and we have case 1 right?

OpenStudy (michele_laino):

for example if I apply a force whose magnitude is F= 5,000 Newtons, and the mass of our block is 100 Kg, the coefficietn of friction is 0.2 and the slope of our inclined plane is 30 degrees ok, in taht case the magnitude of R is given by the subsequent formula: \[R = \mu \times m \times g \times \cos 30 = 0.2 \times 100 \times 9.81 \times 0.866 = 169.91\;Newton\] which is less than F=5,000 Newton

OpenStudy (michele_laino):

that is the case represented by my second drawing

OpenStudy (michele_laino):

|dw:1428631531857:dw|

OpenStudy (anonymous):

OH ok so R<F, i didnt know R didnt depend on F!

OpenStudy (michele_laino):

R is independent of F the force R depends on the mass of the block, on the sliding surfaces, and on the slope of our inclined plane

OpenStudy (anonymous):

ok thanks!!!

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