A crane lifts a block of mass 400 kg through a vertical height of 40 m. If acceleration due to gravity is 9.8 m/s², calculate the work done by the crane.

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Solution

Step 1: Given data:
Mass of block is m = 400 kg.
Acceleration due to gravity is g = 9.8 m/s²
Vertical height is h = 40 m.
Step 2: Finding the force required to lift the block:
Applying Newton's 2nd law,
f = mass x acceleration due to gravity
f = m x g
Where f is the force required to lift the block,
Substituting the known values,
f = (400 kg) x (9.8 m/s²)
f = 3920 N
Step 3: Finding the work done in lifting the block:
According to the formula,
w = force x vertical height (distance moved in the direction of force)
w = f x h
Where w is the work done,
Substituting the known values,
w = (3920 N) x (40 m) = 156800 J
Hence, work done by the crane is 156800 J.

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A crane lifts a block of mass 400 kg through a vertical height of 40 m. If acceleration due to gravity is 9.8 m/s2, calculate the work done by the crane.

A crane lifts a block of mass 400 kg through a vertical height of 40 m. If acceleration due to gravity is 9.8 m/s², calculate the work done by the crane.