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If a machine does 3000 J of work in 15 seconds, what is the power output of the machine?
450 W
5 W
200 W
5 mW
200 W
Power is defined as the rate at which work is done or energy is transferred over time. Given a total work of 3000┬аJ performed in 15┬аseconds, the power is calculated as 200┬аW.
Power is defined as the rate at which work is done or energy is transferred over time. Given a total work of 3000┬аJ performed in 15┬аseconds, the power is calculated as 200┬аW.
Think of work as the total distance a car travels and power as the speed of the car; performing the same task in less time requires more power.
P=tWтАЛ тАФ Definition of power where P is power in Watts, W is work in Joules, and t is time in seconds.
The physical law governing this is the relationship between work, time, and power. Power is a scalar quantity measuring the capacity to perform work per unit time, expressed as P=tWтАЛ. The SI unit of power is the Watt (W), where 1┬аW=1┬аJ/s.
Work is the energy transferred by a force acting through a displacement.
Power measures the speed of energy conversion.
The Watt is equivalent to a Joule per second.
Standardized unit for measuring electrical and mechanical performance.
Rating electrical appliances like light bulbs and motors.
Calculating human athletic performance output.
Calculation: P=15┬аs3000┬аJтАЛ=200┬аJ/s=200┬аW.
Option A results from multiplying instead of dividing (3000├Ч15). Option B results from incorrectly using 3000/600. Option D is a unit mismatch.
C is correct тАФ The power output is determined by dividing the work done by the time interval, resulting in 200┬аW.
Always verify units before calculation; if energy is in Kilojoules or time is in minutes, convert them to Joules and seconds respectively to obtain the correct Watts.
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