Question

wht is wrk done to incresw the velc8tu of car fdkm 30 km/hr to 60 km/hr if mss of car isb1500 kg​

Answer 1

Correct Question

What is work to be done to increase the velocity of a car from 30 km/hr to 60 km/hr. If mass of body is 1500 kg.

Answer

Given :-

• Mass of car, m = 1500 kg
• Initial velocity, u = 30 km/hr = 8.33 m/s
• Final velocity, v = 60 km/hr = 16.67 m/s

To find :-

Work done - W

Solution :-

Work done , $\boxed{\sf W = \frac{1}{2}mv^2 - \frac{1}{2} mu^2 }$

• m = 1500 kg
• u = 8.33 m/s
• v = 16.67 m/s

$\sf W = \frac{1}{2}mv^2 - \frac{1}{2} mu^2$

$\sf = \frac{1}{2} \times 1500 [(16.67)^2 - (8.33)^2]$

$\sf = 750 ( 277.9 - 69.4)$

$\sf = 750 \times 208.5$

$\sf = 156375 J$

$\sf = 1.56 \times 10^5 J$

$\boxed{\sf Work\:Done = 1.56 \times 10^5 J}$