A 24 kg block resting on a floor has a rope tied to its top. The maximum tension, the rope can withstand without breaking is 310 N . The minimum time in which the block can be lifted a vertical distan

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A 24 kg block resting on a floor has a rope tied to its top. The maximum tension, the rope can withstand without breaking is 310 N . The minimum time in which the block can be lifted a vertical distance of 4 . 6 m by pulling on the rope is

TestHub · Accepted Answer

Effective upward force = 310 – m g = 310 - 24 × 9.8 = 74.8 N Upward acceleration ∴ a = 74.8/24 = 3.12 m s - 2 As s = u t + 1 2 a t 2 4.6 = 0 + 1 2 × 3.12 × t 2 or t 2 = 4.6 1.56 = 2.95 or t = 2.95 = 1.7 s

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