A slab of mass 5 kg lies on a smooth horizontal surface a block of mass 4 kg on the top of it . coefficient of friction between the block and slab is 0.25. If the block is pulled horizontally by a force of F= 6N, what is the work done by the force of friction on the slab between the instance t = 2S to t=3S?(take g=10m/s²)
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Explanation:
ANSWER
Maximum frictional force between the slab and the block
f
max
=μN=μmg=
4
1
×4×10=10N
Evidently, f∝f
max
So, the two bodies will move together as a single unit. If a be their combined acceleration, then
a=
m+M
F
=
4+5
6
=
3
2
ms
−2
Therefore, frictional force acting can be obtained as
f=Ma=
3
2
×5=
3
10
N
Using S=
2
1
at
2
S(2)=
2
1
×
3
2
(2)
2
=
3
4
and S(3)=
2
1
×
3
2
×(3)
2
=3
Therefore, work done by friction =F[S(3)−S(2)]
=
3
10
[3−
3
4
]=
9
50
=5.55J
solution
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Answered by
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Answer:
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