A battery drives an electric motor which raises a 20 kg mass at a steady speed.

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A battery powers an electric motor that lifts a 20 kg mass at a steady speed of 3 m/s, with 90% of electrical energy converted to mechanical energy and a current of 5 A. The kinetic energy of the mass is calculated to be 90 joules, leading to the conclusion that the total work done is 100 joules. The relationship between power, force, and speed is established, confirming that power can also be expressed as force multiplied by speed. The correct emf of the battery is determined to be 130.7 V. The discussion highlights the importance of understanding energy conversion and power calculations in this context.
apparatus82
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1. A battery drives an electric motor which raises a 20 kg mass at a steady speed of 3m/s vertically upwards. If 90% of the electrical energy supplied is converted to mechanical energy and the current flowing is 5 A, find the emf of the battery.



2. W=QV
p=mv
P=IV
K.E=.5mv^2


3.

K.E= 90 joules
90/.9=100 joules
W=QV
100=5(1.6x10^-19)V
V = 1.25 x10^20 ?


Correct answer: 130.7 V
Any help is highly appreciated.
 
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apparatus82 said:
1. A battery drives an electric motor which raises a 20 kg mass at a steady speed of 3m/s vertically upwards. If 90% of the electrical energy supplied is converted to mechanical energy and the current flowing is 5 A, find the emf of the battery.



2. W=QV
p=mv
P=IV
K.E=.5mv^2


3.

K.E= 90 joules
90/.9=100 joules
W=QV
100=5(1.6x10^-19)V
V = 1.25 x10^20 ?


Correct answer: 130.7 V
Any help is highly appreciated.


Scratch that. I got it now!
Work done = Force x distance
Power = Work done/ Time
Therefore, Power = Force x Speed
 
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