The figures below show six situations where the same block, which has a mass of

Question

The figures below show six situations where the same block, which has a mass of 5 kg, remains at rest on either a horizontal or an inclined surface. The surfaces are all made of the same material. In all cases except Case A, a 4 N force acts on the block parallel to the surface as indicated by the arrow in the diagram. Rank these situations on the basis of the magnitude of the frictional force on the block. Greatest 1 _____ 2 _____ 3 _____ 4 _____ 5 _____ 6 _____ Least OR, The magnitude of the frictional force is same but not zero for all these cases. OR, The magnitude of the frictional force is zero for all these cases. OR, We cannot determine the ranking for the magnitude of these frictional forces. Please explain your reasoning.

Explanation / Answer

frictional force f = us*N

N = normal force

us = coefficient of static friction

case A

N = m*g

f = us*m*g

case B

normal force N = m*g*cos28

frictinal force f = us*N = us*m*g*cos28

case C

normal force N = m*g*cos20

frictinal force f = us*N = us*m*g*cos20

case D

normal force N = m*g

frictinal force f = us*N = us*m*g

case E

normal force N = m*g*cos28

frictinal force f = us*N = us*m*g*cos28

caseD

normal force N = m*g

frictinal force f = us*N = us*m*g

A = D = F > C > B = E

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