Question

1)How much time will be required to perform 1000 J of work at the rate of 100W?

Answer 1

Given :-

➜ Amount of energy to be consumed in doing the work, E = 1000 J

➜ Rate at which the work has to be done, Power, P = 100 W

To Find :-

➜ Time taken to perform 1000 J of work at the rate of 100W.

Solution :-

Given that, The rate of work = 100 W

Since, 1 W = 1 J / s

∴ 100 W = 100 J / s

Now,

⇒ Time taken = Amount of Energy / Power

⇒ t = 1000 / 100

⇒ t = 10 s

Hence, It would take 10 seconds to form a work of 1000 J at the rate of 100 W.

Some Information :-

☛ Power is the amount of energy consumed ( work done ) per unit time. S.I unit = Watt

1 watt is equal to 1 J of energy consumed ( work done ) in one second.

☛ Work Done is the amount of energy consumed in performing the work. S.I Unit = Joules

☛ Power and Work Done are scalar quantities.

Where,

• Work done = Scalar ( dot ) product of force and displacement.

Answer 2

Given ,

Electric energy = 1000 J

Electric power = 100 W

We know that ,

$\boxed{ \sf{Electric \: energy = Electric \: power × time }}$

Thus ,

1000 = 100 × time

time = 1000/100

time = 10 sec

Therefore ,

• The required time is 10 sec