Physics Work & Energy UHS 2024
PMDC Verified Question 12 of 108
An electric motor is used to lift the weight of 2.0 N through a vertical distance of 100 cm in 4 sec. What is the power output of the motor?
A
0.25 W
B
0.5 W
C
0.75 W
D
1 W
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: 0.5 W
Concept:

Power is the rate at which work is done. You must ensure all units are in standard SI form (meters, seconds, Newtons) before calculating.

Formula:

$$ P = \frac{W}{t} = \frac{F \times d}{t} $$

Solution:

  • Force applied (Weight) = 2.0 N.


  • Distance (\( d \)) = 100 cm = 1.0 m.


  • Time (\( t \)) = 4 sec.


  • Work = \( 2.0 \text{ N} \times 1.0 \text{ m} = 2.0 \text{ Joules} \).


  • Power = \( \frac{2.0}{4} = 0.5 \text{ Watts} \).


Why other options are incorrect:

Failing to convert 100 cm to 1 m would give \( 200/4 = 50 \text{ W} \). Simple arithmetic errors lead to 0.25 or 1.

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