conservation of energy coin a is thrown up in the air at a speed v from an height of h. coin b is...

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Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which coin hits the ground at the highest speed, neglecting air resistance? A. Coin A B. Coin B C. They hit the ground at the same speed. D. It cannot be determined.

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Page 1: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

Conservation of Energy

Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which coin hits the ground at the highest speed, neglecting air resistance?

A. Coin A B. Coin BC. They hit the ground at the same speed. D. It cannot be determined.

Page 2: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

Conservation of Energy

Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which coin hits the ground at the highest speed, neglecting air resistance?

A. Coin A B. Coin BC. They hit the ground at the same speed. D. It cannot be determined.

Page 3: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

Conservation of Energy

Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which coin hits the ground at the highest speed, allowing for air resistance?

A. Coin A B. Coin BC. They hit the ground at the same speed. D. It cannot be determined.

Page 4: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

Conservation of Energy

Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which coin hits the ground at the highest speed, allowing for air resistance?

A. Coin A B. Coin BC. They hit the ground at the same speed. D. It cannot be determined.

Page 5: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

Efficiency and Energy Loss

3U Physics

Page 6: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

Efficiency

Efficiency is the ratio of useful energy or work output to the total energy or work input:

Page 7: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

Efficiency

Efficiency is the ratio of useful energy or work output to the total energy or work input (written as a percent):

%100energyinputtotal

energyoutputusefulEfficiency

Page 8: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

Efficiency Example 1

A model rocket engine contains explosives storing 3500 J of chemical potential energy. Calculate how efficiently the rocket transforms stored chemical energy into gravitational potential energy if the 0.50 kg rocket is propelled to a height of 1.0 x 102 m.

Page 9: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

Efficiency Example 1

A model rocket engine contains explosives storing 3500 J of chemical potential energy. Calculate how efficiently the rocket transforms stored chemical energy into gravitational potential energy if the 0.50 kg rocket is propelled to a height of 1.0 x 102 m.

JmkgmghEE

JE

sm

goutput

input

490100.18.950.0

35002

2

Page 10: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

Efficiency Example 1

A model rocket engine contains explosives storing 3500 J of chemical potential energy. Calculate how efficiently the rocket transforms stored chemical energy into gravitational potential energy if the 0.50 kg rocket is propelled to a height of 1.0 x 102 m.

JmkgmghEE

JE

sm

goutput

input

490100.18.950.0

35002

2

%1414.03500

490or

J

J

E

EEfficiency

input

output

Page 11: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

Efficiency Example 2

A 120-W motor accelerates a 5.0-kg mass from rest to a speed of 4.0 m/s in 2.0 s. Calculate the motor’s efficiency.

Page 12: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

Efficiency Example 2

A 120-W motor accelerates a 5.0-kg mass from rest to a speed of 4.0 m/s in 2.0 s. Calculate the motor’s efficiency.

JkgmvEE

JsWtPEt

EP

sm

koutput

inputinputinput

input

400.40.5

2400.2120

212

21

Page 13: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

Efficiency Example 2

A 120-W motor accelerates a 5.0-kg mass from rest to a speed of 4.0 m/s in 2.0 s. Calculate the motor’s efficiency.

JkgmvEE

JsWtPEt

EP

sm

koutput

inputinputinput

input

400.40.5

2400.2120

212

21

%1717.0240

40or

J

J

E

EEfficiency

input

output

Page 14: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

Efficiency, alternately

Efficiency is also the ratio of useful power output to the power input:

in

out

tEt

E

in

out

P

P

E

EEfficiency

in

out

Page 15: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

Efficiency Example 2, alternatelyA 120-W motor accelerates a 5.0-kg mass from rest to a

speed of 4.0 m/s in 2.0 s. Calculate the motor’s efficiency.

W

s

kg

t

mv

t

EP

WP

sm

outputoutput

input

200.2

0.40.5

120

212

21

%1717.0120

20or

W

W

P

PEfficiency

input

output

Page 16: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

But what about conservation?Given that energy should be conserved, where

does the energy go?

Page 17: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

But what about conservation?Given that energy should be conserved, where

does the energy go?

The input energy is only “lost” in that it has been converted to non-useful forms: heat energy, sound energy, etc. by forces such as friction.

Page 18: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

The 3 Laws of Thermodynamics(according to British scientist C.P. Snow)

Page 19: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

The 3 Laws of Thermodynamics• You can’t win.

Page 20: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

The 3 Laws of Thermodynamics• You can’t win.• You can’t break even.

Page 21: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

The 3 Laws of Thermodynamics• You can’t win.• You can’t break even.• You can’t even get out of the game.

Page 22: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

You can’t win.

You can’t get something (energy) for nothing; energy is always conserved.

Page 23: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

You can’t break even.

You can’t return to the state at which you started because some energy is converted to non-useful forms.

Page 24: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

You can’t break even.

You can’t return to the state at which you started because some energy is converted to non-useful forms. The entropy (disorder) of a system always increases.

Page 25: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

You can’t get out of the game.Absolute zero is the only state in which no energy

is ever lost – and absolute zero is unattainable.

Page 26: Conservation of Energy Coin A is thrown up in the air at a speed v from an height of h. Coin B is thrown down at the same speed from the same height. Which

More Practice

Homework Set 8: Power and Efficiency