Question

Difficulty: EasySimple Machines

A simple machine lifts a load of 200 N200\text{ N} when an effort of 50 N50\text{ N} is applied to it. What is the mechanical advantage of the machine?

Answer: 4 / 4.0

Answer

The mechanical advantage of the machine is 44.
Mechanical Advantage (MA) is the ratio of the force exerted by the machine (load) to the force applied to the machine (effort). Dividing 200 N200\text{ N} by 50 N50\text{ N} yields a dimensionless mechanical advantage of 44.

Step-by-Step Solution

1
Identify the given values from the problem statement
Load (LL) = 200 N200\text{ N}, Effort (EE) = 50 N50\text{ N}
Mechanical advantage is defined as the ratio of load to effort.
2
Apply the formula for Mechanical Advantage (MA)
\text{MA} = \frac{\text{Load}}{\text{Effort}} = \frac{200\text{ N}}{50\text{ N}} = 4
Dividing the output force by the input force gives the force amplification factor of the machine.

Key Concept

Mechanical Advantage of Simple Machines
Estimated Time:45s
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