Answer:
7.72 seconds
The answer is not realistic as the time is very less to reach to a speed of 100 km/hr
also, we have not taken other factors into consideration like wind drag etc.
Explanation:
Data provided in the question:
Mass of the engine = 1500 kg
Power rating = 75 kW = 75,000 W
Initial speed, v₁ = 0
Final speed = 100 km/hr = [tex]100\times\frac{5}{18}[/tex] = 27.78 m/s
Now,
Power = Work done ÷ Time
also,
Work done = Final energy - Initial energy
= [tex]\frac{1}{2}mv_2^2-\frac{1}{2}mv_1^2[/tex]
= [tex]\frac{1}{2}\times1500\times27.78^2-\frac{1}{2}\times1500\times0^2[/tex]
= 578703.70 J
thus,
75,000 = 578703.70 ÷ time
or
time = 7.716 s ≈ 7.72 seconds
The answer is not realistic as the time is very less to reach to a speed of 100 km/hr
also, we have not taken other factors into consideration like wind drag etc.
