# Power (Grades 11-12)

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## Power

**Instructions:**
Read each question carefully. Choose the answer that best fits the question. Short answer response questions must be responded to in complete sentences. If the question involves calculations, you must show all your math work.

1.

A 735.5 N passenger is inside a 24500 N elevator that rises 30 m in exactly 1 minute. How much power is needed for the elevator's trip?

2.

While doing pull-ups, a P.E. student lifts his 75 kg body a distance of 0.61 meters in 1.3 seconds. What is the power delivered by the student's biceps?

3.

Use the information provided in the scenario below to answer the next two questions.

Two junior Olympians with the same height and arm length, Petrov and Levi, are in the weightlifting room. Petrov dead-lifts 200 lbs. 5 times in one minute; Levi dead-lifts 225 lbs. 3 times in 1 minute. The bar starts at a height of .21m and ends at a height of 0.83m each time.

Two junior Olympians with the same height and arm length, Petrov and Levi, are in the weightlifting room. Petrov dead-lifts 200 lbs. 5 times in one minute; Levi dead-lifts 225 lbs. 3 times in 1 minute. The bar starts at a height of .21m and ends at a height of 0.83m each time.

A.

Which Junior Olympian expends more energy?

B.

Which Junior Olympian delivers more power per dead-lift?

4.

An escalator is used to move 20 passengers every minute from the first floor of a department store to the second. The second floor is located 7.62 meters above the first floor. The average passenger's mass is 68 kg. Determine the power requirement of the escalator in order to move this number of passengers in this amount of time.

5.

Use the information provided in the following scenario to answer the next two questions.

Sunlight delivers 1000W to every square meter of upon which surface it shines. A solar panel is 8% efficient and has an area of [math]0.4m^2[/math].

Sunlight delivers 1000W to every square meter of upon which surface it shines. A solar panel is 8% efficient and has an area of [math]0.4m^2[/math].

A.

What is the power output of the panel when sunlight hits it?

B.

How many panels would you need to produce 2 kW?

6.

How much does it cost to leave a 150W bulb on for 30 days If the power company charges .05$/kWhr?

7.

How much time is needed to produce 841 Joules of work if 75 watts of power is used?

8.

How much energy passes through your bedroom lamp (containing a 100 W light-bulb) every evening when you read for half an hour before you going to bed?

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