A crane lifts a 100 kg concrete block to a vertical height of 25 m. Determine the work done by the crane on the concrete block.
To determine the work done by the crane on the concrete block, you can use the formula:
Work = force × distance
In this case, the force is the weight of the concrete block, and the distance is the vertical height it is lifted.
Step 1: Calculate the force exerted by the crane on the concrete block.
The force can be calculated using the formula:
Force = mass × acceleration due to gravity
The mass of the concrete block is given as 100 kg, and the acceleration due to gravity is approximately 9.8 m/s^2.
Force = 100 kg × 9.8 m/s^2
Force = 980 N
Step 2: Calculate the work done by the crane.
Using the formula for work, substitute the values of force and distance into the equation:
Work = force × distance
Work = 980 N × 25 m
Work = 24,500 Joules
Therefore, the work done by the crane on the concrete block is 24,500 Joules.