A porter lifts a luggage of 14kg from the ground and puts it on his head 1.5m above the ground. Calculate the work done by him on the luggage

Options

A. 140J
B. 155J
C. 210N
D. 210J

Answer

To calculate the work done by the porter in lifting the luggage, we can follow these steps:

### Step 1: Identify the given values
- Mass of the luggage (m) = 14 kg
- Height lifted (h) = 1.5 m
- Acceleration due to gravity (g) = 9.8 m/s² (standard value)

### Step 2: Calculate the force exerted by the porter
The force exerted by the porter is equal to the weight of the luggage, which can be calculated using the formula:
\[ \text{Force} (F) = \text{mass} (m) \times \text{acceleration due to gravity} (g) \]
Substituting the values:
\[ F = 14 \, \text{kg} \times 9.8 \, \text{m/s}^2 \]
\[ F = 137.2 \, \text{N} \]

### Step 3: Calculate the work done
The work done (W) is calculated using the formula:
\[ W = F \times h \]
Substituting the values we have:
\[ W = 137.2 \, \text{N} \times 1.5 \, \text{m} \]
\[ W = 205.8 \, \text{J} \]

### Final Answer
The work done by the porter on the luggage is **205.8 Joules**.

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