A 15 kg block is initially moving along a smooth horizontal surface with a speed of v = 4 m/s to the left. It is acted by a force F, which varies in the manner shown. Determine the velocity of the block at t=15 seconds. Given that, F=40cosπ10t
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a
12.5 m/s
b
8.5 m/s
c
20 m/s
d
9.5 m/s
answer is A.
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Detailed Solution
Change in linear momentum ΔP=∫Fdt15vf+u=∫015 40cosπ10tdtvf=−4+4015sin(π/10)tπ/10015=−4+40015π(−1)=−12.5m/s
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A 15 kg block is initially moving along a smooth horizontal surface with a speed of v = 4 m/s to the left. It is acted by a force F, which varies in the manner shown. Determine the velocity of the block at t=15 seconds. Given that, F=40cosπ10t