# Energy and Kg Roller Coaster

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Energy Formulas

W = F d (F must be component in direction of motion)

P = W/t 1HP = 746W

KE = 1/2mv2

PEgrav = mgh

PEi + KEi - WNC = PEf + KEf

Practice

1. Atlas and Hercules, two carnival sideshow strong men, each lift 200 kg barbells 2 m off the ground. Atlas lifts his barbells in 1 s and Hercules lifts his in 3 s. a) Which strong man does more work b) Calculate which man is more powerful.

2. A 5000 kg roller coaster train is winched up the first hill, which is 80 m high. What is I) the speed of the train over the top of the second hill 70m off the ground and ii) the average breaking force needed to stop the train if it has 100 m to pull into the station?

3. Blackie, a cat whose mass is 5.45 Kg, is napping on top of the refrigerator when he rolls over and falls. Blackie has a kinetic energy of 85.5 J just before he lands on his feet on the floor. I) How tall is the refrigerator and ii) what speed does he hit the ground?

4. A coyote, whose mass is 20.0 kg, is chasing the roadrunner when the coyote accidentally runs off the edge of a cliff and plummets to the ground 30.0 m below. What average force does the ground exert on the coyote as he makes a coyote-shaped dent 0.42 m deep in the ground?

5. The average food energy intake for humans is 2000 Calories/day. One dietary Calorie is equivalent to 4186 J. How high would a 55 kg person have to climb in order to “burn off” all the calories they consume in one day? (note; this calculation will ignore the large amount of energy the body continually loses to heat)

6. A student pushes a 0.5 kg mass along a horizontal ramp according to the F-d graph shown below. a) How much work did the student do on the mass? b) What speed did the mass leave the...

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