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muminat
3 years ago
9

The electric motor of a model train accelerates the train from rest to 0.540 m/s in 27.0 ms. The total mass of the train is 610

g. Find the average power delivered to the train during its acceleration.
Physics
2 answers:
slega [8]3 years ago
6 0

Answer:

3.29 Watts

Explanation:

Given that

Initial velocity, u = 0 m/s

Final velocity, v = 0.54 m/s

Change in time, Δt = 27 ms

Mass of the train, m = 610 g = 0.61 kg

Power of any object is given as

P = Work done / time

P = W / t

Work done in this question, W is

W = 1/2mv²

W = 1/2 * 0.61 * 0.54²

W = 305 * 0.2916

W = 0.0889 kgm²/s²

Plugging this value into the equation we'd stated earlier, we have

P = W / t

P = 0.0889 / 27*10^-3

P = 3.293 Watts

Therefore, the average power delivered to the train during its acceleration is 3.29 Watts

Gnesinka [82]3 years ago
5 0

Answer:

The value  is  P  =3.294 \  W

Explanation:

From the question we are that

     The velocity  v  =  0.540  \  m/s

      The  time taken is  t =  27.0 ms  = 27.0 *10^{-3} \ s

     The  total mass of the train is  m  =  610 \ g  =  0.610 \ kg

Generally the average power delivered is mathematically represented as

     P  =\frac{KE }{t}    

     P  =\frac{  \frac{1}{2}  *  m  *  v^2 }{t}    

=>  P  =\frac{  \frac{1}{2}  *  0.610   *   0.540 ^2 }{ 27.0 *10^{-3}}    

=>  P  =3.294 \  W  

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