Question

The maximum power of a small utility vehicle is 10,000 watts. At maximum power, how much time would it take for the vehicle to pull a 500 N rock 100 meters?

Answer 1

Answer:

The time taken for the vehicle to pull a 500 N rock 100 meters is :

t = 5 sec

Explanation:

Work = The magnitude of work is given by the product of force and displacement .

W = F x s

F = Force in Newton"N"

s = displacement "s"

In the question : F = 500 N  and s = 100 m

W = F x s

W = 500 x 100

W = 50000 Nm

W = 50000 J

Power : It is the rate of doing work.The expression of power is given by :

$Power=\frac{Work}{time}$

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

W = Work = 50000 J

t = time

P = power = 10,000 Watt

Put the value in the formula:

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

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

$t = \frac{50000}{10,000}$

t = 5 sec