A labourer whose own mass is 50 kg carries a load of an additional 60 ...
Calculating the Work Done
To calculate the work done by the labourer, we can use the formula:
Work = Force × Distance
In this case, the force can be calculated by adding the mass of the labourer and the load. Let's break down the problem step by step.
Step 1: Calculating the Total Mass
Given:
Mass of the labourer (m1) = 50 kg
Mass of the load (m2) = 60 kg
The total mass (m) is the sum of the labourer's mass and the load's mass:
m = m1 + m2 = 50 kg + 60 kg = 110 kg
Step 2: Calculating the Force
The force (F) acting on the labourer can be calculated using the formula:
Force (F) = mass (m) × acceleration due to gravity (g)
The acceleration due to gravity is approximately 9.8 m/s².
F = m × g = 110 kg × 9.8 m/s² = 1078 N
The force acting on the labourer is 1078 Newtons.
Step 3: Calculating the Work Done
Given:
Height (h) = 15 m
The work done (W) by the labourer can be calculated using the formula:
Work (W) = Force (F) × Distance (d)
W = F × h = 1078 N × 15 m = 16170 Joules
Therefore, the work done by the labourer to carry a load of 60 kg to the top of the building is 16170 Joules.
Adding an Additional Load
Now let's consider the scenario where the labourer carries an additional block of mass 10 kg to the same height.
Step 1: Calculating the New Total Mass
Given:
Mass of the additional block (m3) = 10 kg
The new total mass (m') is the sum of the previous total mass and the mass of the additional block:
m' = m + m3 = 110 kg + 10 kg = 120 kg
Step 2: Calculating the New Force
The new force (F') acting on the labourer can be calculated using the same formula:
F' = m' × g = 120 kg × 9.8 m/s² = 1176 N
The new force acting on the labourer is 1176 Newtons.
Step 3: Calculating the New Work Done
The new work done (W') by the labourer can be calculated using the same formula:
W' = F' × h = 1176 N × 15 m = 17640 Joules
Therefore, the work done by the labourer to carry an additional block of mass 10 kg to the top of the building is 17640 Joules.
Summary
- The work done by the labourer to carry a load of 60 kg to the