Power = 2000 WWork done = 64 000 JCalculate the time.Time = _____ sI DON'T KNOWSUBMIT ANSWER

1. Break Down the Problem

We need to calculate the time taken to do a certain amount of work when the power is known. The relationship between power (P), work done (W), and time (t) is given by the formula:

$P = \frac{W}{t}$

From this formula, we can rearrange to find time:

$t = \frac{W}{P}$

2. Relevant Concepts

• Power (P) is the rate at which work is done, measured in watts (W).
• Work done (W) is measured in joules (J).
• Time (t) is measured in seconds (s).

3. Analysis and Detail

We have:

• Power, $P = 2000 \, \text{W}$
• Work done, $W = 64000 \, \text{J}$

Using the rearranged formula to calculate time:

$t = \frac{W}{P} = \frac{64000 \, \text{J}}{2000 \, \text{W}}$

4. Verify and Summarize

Now we can perform the calculation:

$t = \frac{64000}{2000} = 32 \, \text{s}$

Final Answer

Time = 32 s