A force produces power p by doing work w in a time t. what power will be produced by a force that does six times as much work in half as much time?

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AL2006
OK.  Fasten your seat belt.  It may be a boompy ride.

Let's say that ' W ' is a certain amount of work, and
' T ' is a certain amount of time.
So when you calculate  W/T , you get ' P ' ... a certain amount of power.

NOW ... we want to know how much power will be required
in order to do  6W  of work in  0.5T .

Fine !  THAT power will be 

( 6W/0.5T )

= (6/0.5) (W/T)

= (12) (W/T).

But (W/T) is the original amount of power ... ' P ' .

So the new scenario requires  12 times as much power, or (12 P) .

12 times as much power will be produced by a force that does six times as much work in half as much time.

Let us consider that ' W ' is a certain amount of work, and  ' T ' is a certain amount of time.

As we know, Power is the amount of energy transferred or converted per unit time.

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

To find:

How much power will be required  in order to do 6W  of work in 0.5T ?

 So, on substituting these values in power formula we will get:

P=( 6W/0.5t )

P= (6/0.5) (W/t)

P= (12) (W/t).

We know, (W/t) is P

Thus,  12 times as much power, or (12 P) is required.

Learn more:

brainly.com/question/21854305