Answer:
It will take the train 8.2 min to reach a speed of 82 km/h
Explanation:
Hi there!
Using NewtonĀ“s second law, we can calculate the acceleration of the train:
F = m Ā· a
Where:
F = force exerted by the locomotive.
m = mass of the train.
a = acceleration of the train.
Solving the equation for the acceleration:
F/m = a
8.0 Ć 10āµ N / 1.7 Ć 10ā· kg = a
a = 4.7 Ć 10ā»Ā² m/sĀ²
LetĀ“s convert 82 km/h to m/s:
82 km/h Ā· (1000 m / 1 km) Ā· (1 h /3600 s) = 23 m/s
Using the equation of velocity, we can calculate the time it takes for the train to reach a velocity of 23 m/s.
v = v0 + a Ā· t
Where:
v = velocity at time "t".
v0 = initial velocity (in this case, v0 = 0 because the train starts from rest).
a = acceleration.
t = time.
23 m/s = 0 + Ā 4.7 Ć 10ā»Ā² m/sĀ² Ā· t
t = 23 m/s / Ā 4.7 Ć 10ā»Ā² m/sĀ²
t =4.9 Ć 10Ā² s
LetĀ“s convert the seconds into minutes:
4.9 Ć 10Ā² s Ā· (1 min / 60 s) = 8.2 min
It will take the train 8.2 min to reach a speed of 82 km/h
