A man lifts a luggage of 45kg from the ground and puts it on his head ...
Work Done = Force x Distance
In this problem, we need to calculate the work done by the man on the luggage when he lifts it from the ground and puts it on his head. We can use the formula for work done, which is given by:
Work Done = Force x Distance
Step 1: Identify the given values
- Mass of the luggage = 45 kg
- Height lifted = 1.5 m
- Acceleration due to gravity (g) = 10 m/s^2
Step 2: Calculate the force exerted by the man on the luggage
The force exerted by the man is equal to the weight of the luggage. The weight of an object is given by the equation:
Weight = Mass x Acceleration due to gravity
In this case, the weight of the luggage is:
Weight = 45 kg x 10 m/s^2
Weight = 450 N
Therefore, the force exerted by the man on the luggage is 450 Newtons (N).
Step 3: Calculate the work done
The distance over which the force is applied is the height lifted by the luggage, which is 1.5 meters.
Using the formula for work done, we can calculate:
Work Done = Force x Distance
Work Done = 450 N x 1.5 m
Work Done = 675 Joules (J)
Therefore, the work done by the man on the luggage is 675 Joules (J).
Explanation:
When the man lifts the luggage, he exerts a force equal to the weight of the luggage. The weight of an object is the force with which it is pulled towards the center of the Earth due to gravity. In this case, the weight of the luggage is given by the equation: Weight = Mass x Acceleration due to gravity.
The distance over which the force is applied is the height lifted by the luggage, which is 1.5 meters. Using the formula for work done, we can calculate the work done by multiplying the force exerted by the man on the luggage by the distance over which the force is applied.
In this case, the work done by the man on the luggage is calculated to be 675 Joules (J). This means that the man has transferred 675 Joules of energy to the luggage while lifting it.