ICSE Class 10 Answered
Hi, Solve this question.
A car of mass 120 kg is moving at a speed 18 km/h and it accelerates to attain a speed of 54 km/h in 5 seconds. Calculate:
(a) the work done by the engine.
(b) the power of the engine.
Asked by anubhutiupadhaya | 18 Mar, 2023, 08:18: PM
Expert Answer
Given that,
Initial speed vi = = 5 m/s
Final speed vf = = 15 m/s
(a)
Now,
Acceleration, a = (vf - vi)/t
= (15 - 5)/5 = 2 m/s2
The force can be calculated using Newton’s second law: F = ma, where m is mass of car:
F = 120 × 2 = 240 N
d= vit + ½ × at2
=55+1/2225
∴ d =50m
The work done by the engine, W = F × d,
= 240× 50m =12000 J
(b)
The power of engine, P =W/t
P = 12000/5 =2400W
Hence, the work done by the engine is 12,000 J and its power is 2400 W.
Answered by Jayesh Sah | 18 Mar, 2023, 08:21: PM
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