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 $$=$$ $$40$$ $$cos$$ $$($$π$$10)t$$.

Question

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 $$=$$ $$40$$ $$cos$$ $$($$π$$10)t$$.

Infinity Learn · Accepted Answer

Change in linear momentum ∆P $$=$$ ∫F $$dt15(vf+u)$$ $$=$$ ∫$$01540$$ $$cos$$$$($$π$$10)t$$ dtvf $$=-$$ $$4+4015$$[$$sin$$$$($$π$$10)t$$$$π$$$$10$$]$$150$$ $$m/s=-4$$ $$+$$ $$40015$$π$$(-1)$$ $$=$$ $$-12.5$$ $$m/s$$

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, $F = 40 \cos (\frac{π}{10}) t$ .

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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 = 40 cos (π10)t.

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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, $F = 40 \cos (\frac{π}{10}) t$ .