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Potential Potential Energy & Energy & Energy Conservation Energy Conservation

Potential Energy & Energy Conservation. Work Done by Gravity 1 l Example 1: Drop ball Y i = h Y f = 0 mg S y x Y i = h Y f = 0 mg S y x 10

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Page 1: Potential Energy & Energy Conservation. Work Done by Gravity 1 l Example 1: Drop ball Y i = h Y f = 0 mg S y x Y i = h Y f = 0 mg S y x 10

Potential Potential Energy & Energy Energy & Energy Conservation Conservation

Page 2: Potential Energy & Energy Conservation. Work Done by Gravity 1 l Example 1: Drop ball Y i = h Y f = 0 mg S y x Y i = h Y f = 0 mg S y x 10

Work Done by Gravity 1Work Done by Gravity 1

Example 1: Drop ball

Yi = h

Yf = 0

mgS

y

x

Yi = h

Yf = 0

mgS

y

x

10

Page 3: Potential Energy & Energy Conservation. Work Done by Gravity 1 l Example 1: Drop ball Y i = h Y f = 0 mg S y x Y i = h Y f = 0 mg S y x 10

Work Done by Gravity 2Work Done by Gravity 2

Example 2: Toss ball up

Yi = h

Yf = 0

mgS

y

x

13

Page 4: Potential Energy & Energy Conservation. Work Done by Gravity 1 l Example 1: Drop ball Y i = h Y f = 0 mg S y x Y i = h Y f = 0 mg S y x 10

Work Done by Gravity 3Work Done by Gravity 3

Example 3: Slide block down incline

h

mgS

16

Page 5: Potential Energy & Energy Conservation. Work Done by Gravity 1 l Example 1: Drop ball Y i = h Y f = 0 mg S y x Y i = h Y f = 0 mg S y x 10

Example: roller coasterExample: roller coaster

20m 15m

8mA

C

B

D

VO=0

Find the velocity of the coaster at points A,B,C,D

Page 6: Potential Energy & Energy Conservation. Work Done by Gravity 1 l Example 1: Drop ball Y i = h Y f = 0 mg S y x Y i = h Y f = 0 mg S y x 10

Example: roller coasterExample: roller coaster

20m 15m

8mA

C

B

D

VO=0

Find the velocity of the coaster at points A,B,C,D

Page 7: Potential Energy & Energy Conservation. Work Done by Gravity 1 l Example 1: Drop ball Y i = h Y f = 0 mg S y x Y i = h Y f = 0 mg S y x 10

Example: roller coasterExample: roller coaster

20m 15m

8mA

C

B

D

VO=0

Car stops in 10m, what is the average force of friction?10m

Page 8: Potential Energy & Energy Conservation. Work Done by Gravity 1 l Example 1: Drop ball Y i = h Y f = 0 mg S y x Y i = h Y f = 0 mg S y x 10

Example: blocks and pulleyExample: blocks and pulley

3kg

1kg1.5m

What is the velocity of the 3kg block right before is hits the ground?

Page 9: Potential Energy & Energy Conservation. Work Done by Gravity 1 l Example 1: Drop ball Y i = h Y f = 0 mg S y x Y i = h Y f = 0 mg S y x 10

Power (Rate of Work)Power (Rate of Work)

P = W / t Units: Joules/Second = Watt

How much power does it take for a (70 kg) student to run up 5m high stairs in 7 seconds?

48

Page 10: Potential Energy & Energy Conservation. Work Done by Gravity 1 l Example 1: Drop ball Y i = h Y f = 0 mg S y x Y i = h Y f = 0 mg S y x 10

SummarySummaryConservative Forces

» Work is independent of path

» Define Potential Energy UUgravity = m g yUspring = ½ k x2

Work – Energy TheoremUKWnc

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