A woman draws water from a well using a fixed pulley. The mass of bucket and water together is 6 kg. the force applied by the woman is 70 N. calculate the mechanical advantage. (Take g=`10ms^(-2)`)

Answer

To calculate the mechanical advantage (MA) in this scenario, we will follow these steps:

### Step 1: Understand the given data
- Mass of the bucket and water (m) = 6 kg
- Force applied by the woman (effort, E) = 70 N
- Acceleration due to gravity (g) = 10 m/s²

### Step 2: Calculate the Load (Weight)
The load (W) is the weight of the bucket and water, which can be calculated using the formula:
\[ W = m \times g \]
Substituting the values:
\[ W = 6 \, \text{kg} \times 10 \, \text{m/s}^2 = 60 \, \text{N} \]

### Step 3: Calculate the Mechanical Advantage (MA)
Mechanical Advantage is defined as the ratio of Load (W) to Effort (E):
\[ MA = \frac{W}{E} \]
Substituting the values:
\[ MA = \frac{60 \, \text{N}}{70 \, \text{N}} \]

### Step 4: Simplify the Ratio
Now, simplify the fraction:
\[ MA = \frac{60}{70} = \frac{6}{7} \]

### Step 5: Convert to Decimal
To express this as a decimal:
\[ MA = 0.857 \]

### Final Answer
The mechanical advantage is approximately **0.857**.

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