Question

How much power is required to do 100J of work in a time of 0.5 seconds? How much power is required if the same work is done in 1 second?

Answer 1

To do 100J of work, 200 watts of power is required if done in 0.5 seconds, and 100 watts of power if done in 1 second; power is inversely proportional to the time taken to do the same amount of work.

Step-by-step explanation:

The power required to do work can be calculated using the formula P = W/t, where P is the power in watts, W is the work in joules, and t is the time in seconds over which the work is done.

For 100J of work done in 0.5 seconds, the power required is:

P = 100 J / 0.5 s = 200 W

If the same work is done in 1 second, the power required is:

P = 100 J / 1 s = 100 W

Thus, the power needed decreases if the work is done over a longer period.

Answer 2

To calculate power, you can use the formula:

Power (P) = Work (W) / Time (t)

Let's calculate the power required for each scenario:

1. When 100 J of work is done in 0.5 seconds:

- Work (W) = 100 J

- Time (t) = 0.5 seconds

Plug these values into the formula:

Power (P1) = 100 J / 0.5 s = 200 W

So, the power required to do 100 J of work in 0.5 seconds is 200 watts (W).

2. When the same work (100 J) is done in 1 second:

- Work (W) = 100 J

- Time (t) = 1 second

Plug these values into the formula:

Power (P2) = 100 J / 1 s = 100 W

So, the power required to do the same 100 J of work in 1 second is 100 watts (W).

Hence,

- To do 100 J of work in 0.5 seconds, 200 watts of power are required.

- To do the same 100 J of work in 1 second, 100 watts of power are required.