Question

How much work is done by 15 kW engine during 3.5 min? Explain the answer if you can plz

Answer 1

The work done by a 15 kW engine during 3.5 minutes is calculated as the product of power and time, resulting in 3,150,000 joules of work.

Step-by-step explanation:

The student is asking how much work is done by a 15 kW engine during 3.5 minutes. Work is the product of power and time, so to find the work done, you multiply the power output of the engine by the amount of time it is operating.

First, convert the engine's power to watts (since 1 kW = 1000 W), so 15 kW is 15,000 W. Next, convert the time from minutes to seconds (since 1 minute = 60 seconds), so 3.5 minutes is 210 seconds. Multiplying the power (in watts) by the time (in seconds) will give you the work in joules (since 1 watt = 1 joule/second).

So, the work done by the engine is calculated as follows:
Work = Power × Time
Work = 15,000 W × 210 s
Work = 3,150,000 joules

Thus, the 15 kW engine does 3,150,000 joules of work in 3.5 minutes.

Answer 2

W = 3.15 · 10⁶ J

Step-by-step explanation:

We know that power is calculated using the formula:

• P = W/t
• where P = power (W), W = work (J), and t = time (s)

We can derive a formula for work using this formula by multiplying t to both sides of the equation.

• W = Pt

Let's convert 15 kW to W.

• 15 kW → 15,000 W

Let's convert 3.5 min to s.

• 3.5 min → 210 s

Substitute these values into the formula for work and solve for W.

• W = Pt
• W = (15,000 W) · (210 s)
• W = 3,150,000 J
• W = 3.15 · 10⁶ J

This is the amount of work done by a 15 kW engine in 3.5 minutes.