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Q.

A body is pushed against vertical wall as shown. If the coefficient of friction between the body and the wall is 0.5, the magnitude of acceleration of the block is 10 K. Where K =

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a

4

b

7

c

1

d

2

answer is C.

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Detailed Solution

If it is moving upwards

Question Image

$N = 100 \cos 37 ° = 100 \times \frac{4}{5} = 80$

$F_{net} = 100 \sin 37 ° - 10 - f$

$ma = 100 \times \frac{3}{5} - 10 - μ N$

$1 \times a = 60 - 10 - 0 .5 \times 80$

$a = 50 - 40 = 10 {m/s}^{2}$

$10 K = 10 \Rightarrow K = 1$

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