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Question

A horizontal force acting on a box of mass 1kg has a magnitude of F=1t2N , where t is in second. If the box starts from rest, determine its speed att=3s . The coefficient of static friction and kinetic friction between the box and horizontal surface are μs=0.4 and μk=0.3 respectively. (g=10m/s2)

A
19 m/s
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B
1.3 m/s
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C
3.33 m/s
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D
10.2 m/s
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Solution

The correct option is C 3.33 m/s
F=t2fsmax=410×10=4Natt=2blockstartsmoveing(t23)=madvdt=(t23)v0dv=3L(t23)dtv=13[278]3(1)=3.33m/sOption(c)iscorrect.

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