A machine performs work W in time t, and its power output is P. If the machine’s power output is doubled, how much time will it take to perform the same amount of work?
t/2
To determine how much time the machine will take to perform the same amount of work when its power output is doubled, we start by understanding the relationship between work, power, and time. Power (P) is defined as the work done (W) over time (t), expressed as:
P = W/t
Given that the machine's power output doubles, the new power (Pnew) becomes:
Pnew = 2P
Substituting the expression for power, we have:
2P = W/tnew
Simplifying, we get:
tnew = W/(2P)
Since we know that W/P = t, we can substitute:
tnew = t/2
Thus, when the power output of the machine is doubled, it will take t/2 time to perform the same amount of work.
Important Questions from Work Power Energy
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Which of the following is also called the First Law of Thermodynamics?
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EMF of a thermocouple is approximately a _____ function of the temperature difference between the junctions.
A particle of mass m starts from rest and moves with a constant acceleration a along a straight line. What is the relationship between the distance travelled x and the kinetic energy K of the particle?
