Do Now warm-up prompt

RIDDLE: Two girls race up two flights of stairs, and it ends in a tie. Why does one racer claim that she was the more powerful racer?

Turning which gear would give you a mechanical advantage?

Gears

ETC Clipart — William Dwight Whitney, The Century Dictionary and Cyclopedia (New York: The Century Co., 1889) 4499. Copyright: 2009, Florida Center for Instructional Technology. See license.

Large Gear

Fill In the Blank Power Notes

C) Power

rate of doing work or expending energy

Ranger climbing
James Watt
James Watt — 1736–1819

“… radically improved the power, efficiency, and cost-effectiveness of steam engines.” He developed the concept of horsepower, and the SI unit of power, the watt, was named after him. — Wikipedia

P = W/t = Fd/t = Fv

(watt) = (J/s) = (N·m)/s

Scalar

Ex 1

Given

A force of 40 N is exerted on a mass, causing it to move with a constant speed of 5 m/s.
What power is used?

Pulley lifting a crate

P = W/t = Fd/t = Fv

P = Fv = (40 N)(5 m/s)

200 N·m/s   or   200 watts

Ex 2

Given

A girl weighing 500. newtons takes 50. seconds to climb a flight of stairs 18 meters high.
Her power output vertically is…

Person climbing a ladder

F = 500. N

t = 50. s

d = 18 m

P = ?

P = W/t = Fd/t = Fv

P = Fd/t = (500. N)(18 m) / 50. s

P = 180 N·m/s = 180 watts

Ex 3

Given

A 95-kg student climbs 4.0 m up a rope in 3.0 seconds.
What is the power output of the student?

Soldier climbing a rope

m = 95 kg

d = 4.0 m

t = 3.0 s

P = ?

P = Fd/t

First find F (weight)

F = mg = (95 kg)(9.81 m/s2) = 931 N

P = [931 N × 4.0 m] / 3.0 s

P = 1.2 × 103 W

(rounded to 2 significant digits)

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