Answer:
35.6 kW
Explanation:
Given data
mass (m): 1400 kg
speed (v): 60.0 mi/h. In SI units,
time (t): 14.0 s
The acceleration (a) of the car is:
The force (F) exerted is:
F = m × a = 1400 kg × 1.91 m/s² = 2.67 × 10³ N
The distance (d) travelled is:
d = 1/2 × a × t² = 1/2 × 1.91 m/s² × (14.0 s)² = 187 m
The work (w) done is:
w = F × d = 2.67 × 10³ N × 187 m = 4.99 × 10⁵ J
The power (P) of the car engine is:
P = w / t = 4.99 × 10⁵ J / 14.0 s = 3.56 × 10⁴ W = 35.6 kW