Question

A Car of weight 20,000 N Climbs up hills at a uniform speed of 8 m/s , gaining a height of 120 m in 100 seconds. Calculate:(1) Calculate work done by car.(2) Power of engine of car.

Answer 1

given:
W=mg=20,000N=2000kg

v=8m/s
h=120m
t=100s
g=10m/s²
W=mgh=2000x10x120=2.4x 10⁶J
P=W/T
2.4 x 10 ⁶/100
2.4 x10⁴ W

Answer 2

Answer:

(1). 24,00,000 Joules

(2). 24000 Watts

Explanation:

We have in the question,

Weight of the Car, W = 20,000 N

Speed of the car uphill , v = 8 m/s

Height achieved by the car, h = 120 m

Time taken by the car, t = 100 s

Now,

We know that the Work Done by the Car is given by,

Work Done = Potential Energy of the Car

Work Done = mgh

W = (20,000)(120)

W = 24,00,000 N

Therefore, the Work done by the car is 24,00,000 Joules.

(2).

Power of the engine can be given by,

$P=\frac{W}{t}$

So,

Power of the engine of the car is,

$P=\frac{24,00,000}{100}\\P=24,000\,Watts$

Therefore, the Power of the engine of the car is 24000 Watts.