Answer :
Final answer:
The work done by the porter on the luggage is calculated as the product of the weight of the luggage and the distance it was lifted. With the luggage's mass being 15 kg and lifted to a height of 1.5 m, the work done equals 220.5 J, which after rounding is approximately 225 J.
Explanation:
To calculate the work done by the porter on the luggage, we use the formula:
Work done (W) = Force (F) × Distance (d)
In this case, the Force is equivalent to the weight of the luggage. Weight (W) is given by the equation:
Weight (W) = Mass (m) × Acceleration due to gravity (g)
For an object's mass of 15 kg and assuming the acceleration due to gravity (g) to be 9.8 m/s², the weight of the luggage can be calculated as:
Weight (W) = 15 kg × 9.8 m/s² = 147 N
Since the porter lifts the luggage vertically to a height of 1.5 m, the work done is:
Work done (W) = 147 N × 1.5 m = 220.5 J (rounded to 221 J)
The correct answer is not listed in the options, however, if we consider rounding to the nearest whole numbers in the options given, the closest answer would be (b) 225 J.
