Let's solve each of the problems step by step using the formula for
power:
>
Power = Work / Time
> where:
> - Work = Force × Distance (in joules)
> - Time = in seconds
> - Power is measured in
watts (W), which is
joules per second
---
Problem 1:
> A set of pulleys is used to lift a piano weighing 1,000 newtons. The piano is lifted 3 meters in 60 seconds. How much power is used?
#### Step 1: Calculate work
Work = Force × Distance
= 1,000 N × 3 m
=
3,000 joules
#### Step 2: Use power formula
Power = Work / Time
= 3,000 J / 60 s
=
50 watts
✔ Answer: 50 watts
---
Problem 2:
> How much power is used if a force of 35 newtons is used to push a box a distance of 10 meters in 5 seconds?
#### Step 1: Calculate work
Work = Force × Distance
= 35 N × 10 m
=
350 joules
#### Step 2: Use power formula
Power = Work / Time
= 350 J / 5 s
=
70 watts
✔ Answer: 70 watts
---
Problem 3:
> What is the power of a kitchen blender if it can perform 3,750 joules of work in 15 seconds?
#### Step 1: Use power formula directly
Power = Work / Time
= 3,750 J / 15 s
=
250 watts
✔ Answer: 250 watts
---
✔ Final Answers:
1.
50 watts
2.
70 watts
3.
250 watts
Let me know if you'd like these explained in simpler terms or with diagrams!
Parent Tip: Review the logic above to help your child master the concept of calculating work and power worksheet.