porter lifts a luggage of 15 kg from the ground and puts it on his head `1.5 m` above the ground. Calculate the work done by him on the luggage

Options

A. `200J`
B. `225J`
C. `275J`
D. `175J`

Explanation

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

### Step 1: Identify the mass of the luggage
The mass of the luggage is given as 15 kg.

### Step 2: Calculate the weight of the luggage
The weight (force due to gravity) can be calculated using the formula:
\[ \text{Weight} = \text{mass} \times g \]
where \( g \) (acceleration due to gravity) is approximately \( 9.8 \, \text{m/s}^2 \).

So,
\[ \text{Weight} = 15 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 147 \, \text{N} \]

### Step 3: Identify the displacement
The displacement (height to which the luggage is lifted) is given as \( 1.5 \, \text{m} \).

### Step 4: Calculate the work done
Work done can be calculated using the formula:
\[ \text{Work} = \text{Force} \times \text{Displacement} \times \cos(\theta) \]
In this case, the angle \( \theta \) is \( 0^\circ \) because the force and displacement are in the same direction (upward). Therefore, \( \cos(0) = 1 \).

Thus, the work done is:
\[ \text{Work} = 147 \, \text{N} \times 1.5 \, \text{m} \times 1 = 220.5 \, \text{J} \]

### Final Answer
The work done by the porter on the luggage is \( 220.5 \, \text{J} \).

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