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$\bullet$ The total height of Yosemite Falls is 2425 ft. (a) Howmany more joules of gravitational potential energy are therefor each kilogram of water at the top of this waterfall com-pared with each kilogram of water at the foot of the falls?(b) Find the kinetic energy and speed of each kilogram ofwater as it reaches the base of the waterfall, assuming thatthere are no losses due to friction with the air or rocks andthat the mass of water had negligible vertical speed at the top.How fast (in $\mathrm{m} / \mathrm{s}$ and mph) would a 70 $\mathrm{kg}$ person have to runto have that much kinetic energy? (c) How high wouldYosemite Falls have to be so that each kilogram of water atthe base had twice the kinetic energy you found in part (b);twice the speed you found in part (b)?

a) $7.24 \times 10^{3} \mathrm{J}$b) $7.24 \times 10^{3} \mathrm{J},$ 120 $\mathrm{m} / \mathrm{s},$ 14 $\mathrm{m} / \mathrm{s},$ 32 $\mathrm{mph}$c) 4850 $\mathrm{ft},$ 9700 $\mathrm{ft}$

Physics 101 Mechanics

Chapter 7

Work and Energ

Physics Basics

Applying Newton's Laws

Kinetic Energy

Potential Energy

Energy Conservation

Klára K.

October 30, 2020

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Simon Fraser University

McMaster University

Lectures

03:47

In physics, the kinetic en…

04:05

In physics, a conservative…

11:11

During a rockslide, a 520 …

01:31

We said in Section 8.1 tha…

03:27

The height of Niagara Fall…

0:00

A 76.0 -kg boulder is roll…

03:24

A 76.0-kg rock is rolling …

03:00

Suppose an Olympic diver w…

05:16

06:40

\bullet A 76.0 kg boulder …

03:06

A 500 -m-long ski slope dr…

08:58

A 28-kg rock approaches th…

11:01

A hydroelectric dam holds …

04:38

A mountain climber stands …

03:30

A $0.20-\mathrm{kg}$ stone…

03:40

A $55 \mathrm{kg}$ skier i…

12:32

Use the work-energy theore…

03:45

01:37

A 2.00-kg rock is released…

03:10

06:39

07:30

A 60.0 -kg athlete leaps s…

problem. 43. In this problem, it is given that there is a waterfall which has hurt that is initially given us 4 to 5. It you are 739 0.14 readers. In the first part, it is us that how much gravitational potential energy is greater than the gravitational potential energy at the bottom of the waterfall Let at the bottom of the waterfall. The GP is zero. So at the top of the waterfall, the traditional potential energy is equal to mg. That so g p e at no is equal to, um G. That's we are talking about one kg off muscle water. So one into 9.8 Indo seven 391 14 This will resulted. Seven point four. Hello, Jules. For the second part of the question, we have to find the velocity off the water at the bottom. No, By energy conservation, we conduct that traditional potential energy at the top. Is it cool toe canna Tik energy, huh? Bata Bata waterfall. This implies that week was drawn yo G, that now plugging in values we get on the road don't into 9.8 in the seven three nine 0.14 This will give us the lost city or waterfall at the bottom as 1 20 meter. But a second then 70 kg person runs to achieve this must kind of big energy. So this gonna take energy at the border is equal to potential energy at the dog according to seven point 24 Hello, Jules. No, we have to find I speed off 70 kg person having this much, can it? Big energy. So, uh, into 70 into velocity of the person is equal to 7.24 into 10 to the power three, which gives the velocity off the men s 14 point. Be it me dead. But second Oh 32 mines. But oh, In the third part of the question, we are given that the kind of take energy is doubled and we have to find the new height off the waterfall we have seen that can take unity is proportional duda height of the waterfall. So good can you take energy is doubled, then height. Also, there was new height. That's new. We'll be two in tow. Two for school fight beauts on for it. 50 Good. Similarly, we have also scene that when velocity off water increases to twice, then hide becomes four times because off and the square is equal to empty. Yet this implies that touches that it be proportional to the square. Then V is doubled. Then at is directly proportional to for V Square does actually increased by four times and new Hyde will become 9700 Yeah.

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