A machine rated as 150w, changes thevelocity of a 10kg mass from 4 ms-1 to10ms-1 in 4s. the efficiency of the machineis nearly1) 70% 2) 30% 3) 50% 4) 40%
To calculate the efficiency of the machine, we can use the formula:
Efficiency = (Useful output energy / Input energy) * 100%
In this case, the useful output energy is the change in kinetic energy of the mass, and the input energy is the power of the machine multiplied by the time.
First, let's calculate the change in kinetic energy:
Initial kinetic energy = (1/2) * mass * (initial velocity)^2
Final kinetic energy = (1/2) * mass * (final velocity)^2
Change in kinetic energy = Final kinetic energy - Initial kinetic energy
Next, let's calculate the input energy:
Input energy = Power * Time
Finally, we can calculate the efficiency:
Efficiency = (Change in kinetic energy / Input energy) * 100%
By substituting the given values into the formulas and performing the calculations, we can determine the efficiency of the machine.
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Answer:
To calculate the efficiency of the machine, we can use the formula:
Efficiency = (Useful output energy / Input energy) * 100%
In this case, the useful output energy is the change in kinetic energy of the mass, and the input energy is the power of the machine multiplied by the time.
First, let's calculate the change in kinetic energy:
Initial kinetic energy = (1/2) * mass * (initial velocity)^2
Final kinetic energy = (1/2) * mass * (final velocity)^2
Change in kinetic energy = Final kinetic energy - Initial kinetic energy
Next, let's calculate the input energy:
Input energy = Power * Time
Finally, we can calculate the efficiency:
Efficiency = (Change in kinetic energy / Input energy) * 100%
By substituting the given values into the formulas and performing the calculations, we can determine the efficiency of the machine.
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