Question

A trolley is pushed along a road with a force of 400 Newton through a distance of 60 metre in 1 minute calculate the power developed

Answer 1

Answer:

400 watt

Explanation:

power= work done per unit time

= Force × displacement/ time

= 400× 60/60

time in sec 1min=60sec

Answer 2

$\huge\frak{AnswEr :}$

We are given that a trolley is pushed along a road with some force. Also, they've given the distance and time required to push the trolley.

We've to find the Power developed while pushing the trolley.

Given Parameters :

• Force, f = 400 N

• Distance travelled, S = 60 m.

• Time taken, t = 1 min = 60 sec

In order to find the Power we'll have to calculate the total work done.

$\dag \: \large{ \boxed{ \frak{ \blue{Work = Force \times Distance}}}}$

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Substituting the values :

$\longrightarrow\sf Work \: done = 400 \times 60$

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$\longrightarrow \large{ \boxed{\sf Work \: done = 24000 \: J}}$

Now,

We can easily calculate the value of Power developed while pushing the trolley!

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We've the required formula as :

$\dag \: { \boxed{ \frak{ \green{Power = \dfrac{Work \: done}{Time \: taken}}}}}$

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Substituting the values :

$\longrightarrow\sf Power = \dfrac{24000}{60}$

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$\longrightarrow\sf Power = \dfrac{2400}{6}$

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$\longrightarrow \large{ \boxed{\sf Power = 400 \: W }}$

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⠀⠀⠀★ Additional information ★

Specific rate at which the energy is transferred is called Power.

In bookish language it can be defined as a measure of the amount of work done per unit time. So you can clearly get that the work & power are related to each other.

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Here's the formula to calculate the Power :

↬ Energy = Power × Time

You can clearly understand the concept of Power by the following example :

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↬ When a powerful car accelerates rapidly, it does a large amount of work and consumes a large amount of Petrol/diesel or it may be any another fuel in a short time.