Hollie carries a heavy tin of paint up a ladder. It takes her 12 seconds and she generates a power of 2.1 kW. Calculate how much work Hollie did.

1. Break Down the Problem

To find out how much work Hollie did, we can use the relationship between power, work, and time. The formula for power $P$ is given by:

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

where:

• $P$ is the power (in watts),
• $W$ is the work done (in joules),
• $t$ is the time (in seconds).

2. Relevant Concepts

We need to rearrange the formula to solve for the work done $W$:

$W = P \times t$

3. Analysis and Detail

Given:

• Power $P = 2.1 \, \text{kW} = 2100 \, \text{W}$ (since $1 \, \text{kW} = 1000 \, \text{W}$)
• Time $t = 12 \, \text{s}$

Substituting the values into the formula:

$W = 2100 \, \text{W} \times 12 \, \text{s}$

Now, let's perform the multiplication:

$W = 25200 \, \text{J}$

4. Verify and Summarize

We verified the units: $W = \text{power} \times \text{time} = \text{watts} \times \text{seconds} = \text{joules}$. The calculations have been checked and are correct.

Final Answer

Hollie did $25200 \, \text{J}$ of work.