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Asked Feb 8, 2019
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uoter
ow' mucn worK iS reauired to raise
Slope
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uoter ow' mucn worK iS reauired to raise Slope

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Expert Answer

Step 1

Initial mass, M0 = Mass of the bucket + mass of the water = 1 + 3 = 4 kg

Water leaks at a constant rate, k = 1/5 kg / m = 0.2 kg / m

Step 2

Let's say at some point "x" meters away from the ground, the remaining mass, M will be = Intial mass - leakage rate x distance away from the ground

Hence, M = M0 - kx

Step 3

So, gravitational force acting on the bucket F = Mg = (M0 -kx)g where g = accelration due to gravity = 9.8 m / s2

Hence, work...

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Tagged in

Math

Calculus