Question

Henry can lift a 200 N load 20 m up a ladder in 40 s. Ricardo can lift twice the load up one-half the distance in the same amount of time.
Which comparison between Ricardo and Henry is correct?

A. Ricardo exerted a greater force, did the same amount of work, and had the same power output as Henry.

B. Ricardo exerted a greater force, did the same amount of work, and had a greater power output than Henry.

C. Ricardo exerted a greater force, did less work, and had a lower power output than Henry.

D.Ricardo exerted a smaller force, did more work, and had the same power output as Henry.

Answer 1

Answer:

A. Ricardo exerted a greater force, did the same amount of work, and had the same power output as Henry.    

Explanation:

Word done is the product of force and displacement. Power is the rate change of energy consumed.

Henry applied a force of 200 N lift the load up a distance of 20 m in 40 s.

Work done by Henry, $W = mgh= 200 \times 20 = 4000 J$

Power output, $P =\frac{W}{t}=\frac{4000}{40}=100 W$

Ricardo applied a force of 400 N lift the load up a distance of 10 m in 40 s.

Work done by Henry, $W = mgh= 400 \times 10 = 4000 J$

Power output, $P =\frac{W}{t}=\frac{4000}{40}=100 W$

Thus, the word done and power output by both Henry and Ricardo are equal but the force exerted by Ricardo is greater.

Answer 2

your answer will be letter (A Ricardo exerted a great force, did the same amount of work, and had the same power output as Henry.