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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 :

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 :

[tex]Power=\frac{Work}{time}[/tex]

[tex]P = \frac{W}{t}[/tex]

W = Work = 50000 J

t = time

P = power = 10,000 Watt

Put the value in the formula:

[tex]P = \frac{W}{t}[/tex]

[tex]t = \frac{W}{P}[/tex]

[tex]t = \frac{50000}{10,000}[/tex]

t = 5 sec

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