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Q.

The 10 kg block is moving to the left with a speed of 1.2 m/s at time t=0. A force F is applied as shown in the graph. After 0.2 s, the force continues at the 10 N level. If the coefficient of  kinetic friction is μk=0.2 Determine the time t at which the block comes to a stop. (Take, g=10 m/s2 )

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a

0.33s

b

3.33 s

c

0.23s

d

2.65s

answer is B.

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Detailed Solution

μ1mg=0.2×10×10=20 N

For t0.2 s

Retardation, 

a1=F+μ2mgm =20+2010=4 m/s2

At the end of 0.2s,

v=u-a1t v=1.2-4×0.2 =0.4 m/s

For t>0.2 s

Retardation a2=10+2010=3 m/s2

Block will come to rest after time

t0=va2=0.43=0.13 s

 Total time =0.2+0.13

=0.33 s

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The 10 kg block is moving to the left with a speed of 1.2 m/s at time t=0. A force F is applied as shown in the graph. After 0.2 s, the force continues at the 10 N level. If the coefficient of  kinetic friction is μk=0.2 Determine the time t at which the block comes to a stop. (Take, g=10 m/s2 )