Question

a car has a capacity of 15kW and an average speed of 54km/h. Calculate the work that the car generates when running the entire distance of 30km? (30000kJ)

Answer 1

`\huge\boxed{\sf W = 30,000\ kJ}`

Step-by-step explanation:

Given data:

Power = P = 15 kW = 15,000 W

Average speed = v = 54 km/h = 15 m/s

Distance = d = 30 km = 30,000 m

Required:

Work = w = ?

Formula:

1) P = Fv

2) W = Fd

Solution:

First, we need to find F(Force).

Using formula:

P = Fv

Put the given data

`15000 = F * 15\\\\Divide \ both \ sides\ by \ 15\\\\15000/15 = F\\\\1000 = F\\\\F = 1000 \ N`

Now,

Finding W:

W = F × d

W = 1000 × 30,000

W = 30,000,000 Joules

W = 30,000 kJ

`\rule[225]{225}{2}`