Answer:
The work done on the car is, W = 75,000 J
The power delivered by the engine, P = 25,000 watts
Explanation:
Given,
The mass of the car, m = 1500 Kg
The initial velocity of the car, u = 0
The final velocity of the car, v = 10 m
The time duration of the travel, t = 3 s
Using the first equation of motion
v = u + at
a = (v - u) / t
Substituting the given values in the above equation
a = (10 - 0) / 3
= 3.33 m/s²
Using the second equations of motion
s = ut + 1/2 at²
= 0 + 0.5 x 3.33 x 3²
= 15 m
The force exerted by the car
F = m x a
= 1500 Kg x 3.33 m/s²
= 5000 N
The work done by the car,
W = F x S
= 5000 N x 15 m
= 75,000 J
Hence, the work done on the car is, W = 75,000 J
The power delivered by the engine,
P = W / t
= 75,000 J / 3 s
= 25,000 watts
The power delivered by the engine, P = 25,000 watts
