Problem

$\bullet$ $\bullet$ $\bullet$ A ball is thrown up…

04:48

Problem 99 Hard Difficulty

$\bullet$ $\bullet$ Two paint buckets are con-
nected by a lightweight rope
passing over a pulley of negligi-
ble mass and friction. (a) As
shown in the accompanying
figure, the system is released
from rest with the 12.0 kg
bucket 2.00 m above the floor.
Use energy conservation to find
the speed with which this
bucket strikes the floor. (b) Sup-
pose the pulley had appreciable
mase but no bearing friction.
Would the bucket's speed be
greater than, less than, or the
same as you found in part (a)? Explain your reasoning in
terms of energy.

Answer

a) 4.43 $\mathrm{m} / \mathrm{s}$
b) The speed is unaltered. Both the translational and rotational kinetic energy depend on the mass, which cancels the mass dependence of the gravitational potential energy.

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Physics 101 Mechanics

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Video Transcript

problem. 99 first ofall. Let us understand what problem is say in this problem. There is a pulley and two buckets. Huh? Hang on. But this fully. But hey! And but could be the initial height. Oh, but could be iss two meters from the ground level. The system is it addressed initially. But when but could be is released, which is that I have your book it then system moves like this. The bucket B falls downwards and a tense philosophy v well, Farley and bucket air rises do the same height, two meters entertains some kind of take energy. And thus the velocity we the initial energy off that could be waas m b t that the final or energy or bugger be at the ground level ISS half mm. Be the square. But initial energy or begat a is Siegel, and the final energy or bucket is off. Um, okay. We square nous. Mm. Hey, t that this is records. When Booker t rises toe hard two meters, it will gain potential energy, which is equal to M and G et and some kind of take energy. Jessica will do have, um a we square in the first part. The police frictionless and also massless. So, no. For the first part, we are going to apply the energy conservation principles for the party Bye and a tea conservation. The total mechanical energy off the system which is equal to M B G. That is equal to finally gonna take energy off. But could be bless final canna Tik energy off bucket, eh? Less final final potential energy all book it. Okay, Physical toe m 80. Not substituting the given values. We get well into nine point it one into two is equal to have into 12 b square less, huh Into four we square plus forward into 9.81 into two. By solving this expression, we get the velocity off the system as 4.43 Mita. But second Noah gain. We should revise. What figure says the initial traditional potential energy is equal to final can etiquette Sergio, but could be plus final Canada big energy off, but get a plus final traditional potential energy or bucket A. Now for the part B, they're poorly is having considerable moss. Then the Michelle gravitational potential energy is used up in giving kind of take energy to beget. Yeah, less kind of take energy. TOBA could be bless gravitational potential and that she two bucket? Yeah, and one more energy Ito will be. I didn't know which is the traditional kind of take energy off the really this traditional kinetic energy is because poorly is having some must and the in the cell traditional potential energy off fucking be, really. Spend some off its part in rotating DNA bully with a definite musk. So the final we lost you off the system now for the part B is less than four point 43 meter per second. It's is Let's then V Oh, like a gusta velocity will be smaller than the previous bye then.

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