A crane lifts a Load of 50000g very slowly through a distance of 150cm vertically, calculate the work done against gravity if g=10.mls2
work=masskg*g*height
= 50*g*1.5
The gravity field (acceleration due to Earth's Mass, is not 10 N/kg anywhere on Earth, nor is PI equal 3 in case your teacher tells you to do that..
To calculate the work done against gravity, we can use the formula:
Work = Force × Distance
First, we need to calculate the force exerted by the load due to gravity. The force can be determined using Newton's second law:
Force = mass × acceleration
Given that the mass of the load is 50000g (or 50 kg) and the acceleration due to gravity is 10 m/s² (g = 10 m/s²), we can calculate the force:
Force = 50 kg × 10 m/s² = 500 N
The next step is to calculate the distance over which the force is exerted. In this case, the load is lifted vertically through a distance of 150 cm (or 1.5 m).
Now we can substitute the values into the work formula:
Work = 500 N × 1.5 m = 750 J
Therefore, the work done against gravity is 750 Joules.