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Pulley system demonstrating mechanical advantage with 6 pulleys required to lift a 150N load using a 25N effort.

Diagram showing a pulley system with 6 pulleys, illustrating the mechanical advantage where a 25N effort lifts a 150N load, with the ratio calculated as 150N/25N = 6.

Diagram showing a pulley system with 6 pulleys, illustrating the mechanical advantage where a 25N effort lifts a 150N load, with the ratio calculated as 150N/25N = 6.

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Show Answer Key & Explanations Step-by-step solution for: Pulleys and Lifting Questions 3
Let’s solve this step by step.

We are told:
- The load (the weight being lifted) is 150 N.
- The effort (the force you need to pull with) is 25 N.
- We’re also told that 6 pulleys are required, and we can see from the diagram that there are 6 rope segments supporting the load — which matches the number of pulleys in a block-and-tackle system like this.

In a pulley system, the mechanical advantage (MA) tells us how much the system multiplies your effort. It’s calculated as:

> Mechanical Advantage = Load ÷ Effort

So let’s plug in the numbers:

> MA = 150 N ÷ 25 N = 6

That means the pulley system gives you a mechanical advantage of 6 — so you only need to apply 1/6th of the load’s weight to lift it.

Now, in an ideal pulley system (no friction), the mechanical advantage equals the number of rope segments pulling up on the moving part (or the number of strands supporting the load). In this case, since MA = 6, we need 6 rope segments sharing the load — which usually means 6 pulleys arranged properly (as shown in the diagram).

Also, notice:
Effort × Number of ropes = Load
→ 25 N × 6 = 150 N → Checks out!

So everything matches:
- With 6 pulleys (and thus 6 supporting rope segments),
- You apply 25 N of effort,
- And you can lift a 150 N load.

Final Answer:
6
Parent Tip: Review the logic above to help your child master the concept of mechanical advantage of a pulley worksheet.
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