What is the work done in lifting 60 kg of blocks to a height of 20m?
Work = M g H
g = 9.8 m/s^2
M = 60 kg
H = 20 m
The answer will be in Joules
1177.2 J or 1.2 kJ
11,760 joules
To find the work done in lifting the blocks, you can use the formula:
Work = Force × Distance × cos(θ)
In this case, the force required to lift the blocks is equal to the weight of the blocks.
The weight (force) is given by the formula:
Weight = mass × gravity
where mass is the mass of the blocks and gravity is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth).
So, the weight is:
Weight = 60 kg × 9.8 m/s^2
Next, we need to find the distance, which is the height the blocks are lifted, given as 20 meters in the question.
Now, we can calculate the work done:
Work = (60 kg × 9.8 m/s^2) × 20 m × cos(θ)
In this case, the angle θ is not specified, so we assume it to be 0 degrees (i.e., the force is applied vertically upwards, and there is no horizontal component). Therefore, cos(θ) = cos(0) = 1.
So, the equation simplifies to:
Work = (60 kg × 9.8 m/s^2) × 20 m × 1
Calculating the result:
Work = 11,760 Joules (approximately)
Therefore, the work done in lifting 60 kg of blocks to a height of 20 meters is approximately 11,760 Joules.