Question

question 7 of 10
which situation describes the highest rate of power?
a. a weight lifter does 800 joules of work in 1.5 seconds.
b. a weight lifter does 500 joules of work in 0.5 seconds.
c. a weight lifter does 800 joules of work in 0.5 seconds.
d. a weight lifter does 500 joules of work in 1.5 seconds.

Explanation:

Step1: Recall the power formula

Power \( P=\frac{W}{t} \), where \( W \) is work and \( t \) is time.

Step2: Calculate power for option A

For option A: \( W = 800\ J \), \( t=1.5\ s \), \( P_A=\frac{800}{1.5}\approx533.33\ W \)

Step3: Calculate power for option B

For option B: \( W = 500\ J \), \( t = 0.5\ s \), \( P_B=\frac{500}{0.5}=1000\ W \)

Step4: Calculate power for option C

For option C: \( W = 800\ J \), \( t = 0.5\ s \), \( P_C=\frac{800}{0.5}=1600\ W \)

Step5: Calculate power for option D

For option D: \( W = 500\ J \), \( t = 1.5\ s \), \( P_D=\frac{500}{1.5}\approx333.33\ W \)

Answer:

C. A weight lifter does 800 joules of work in 0.5 seconds.