A bucket of water with a total weight of 50 Newtons is lifted at constant veloci

Question

A bucket of water with a total weight of 50 Newtons is lifted at constant velocity up a 10 meter deep well. If takes 20 seconds to raise the bucket this distance, the power required to lift the buckct is. a.25 W. d. 500 J b.25 J e. 500 W c.2.5 J From the top of a tall cliff of height y, a soccer ball is kicked horizontally so that it leaves the cliff with a velocity v. Assuming air friction is negligible, the speed of the ball just before it hits the ground is: a. 2gy b. squareroot 2gy c. nu^2 + 2gy d. squareroot nu^2 + 2gy e. squareroot nu^2 - 2gy

Explanation / Answer

Here,

7)

W = 50 N
h = 10 m

t = 20 s

power required to lift the bucket = work done/time

power required to lift the bucket = W *h/t

power required to lift the bucket = 50 * 10/20

power required to lift the bucket = 25 W

the power required to lift the bucket is a) 25 W

8)

let the final speed of the ball is vf
Using conseravtion of energy

final mechanical emergy = initial mechanical energy

0.5 * m * vf^2 = 0.5 * m* v^2 + m * g * y

vf = sqrt(v^2 + 2 * g * y )

the final velocity is d)

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