If a body weight 10N is lifted from the floor to a table 2m above the floor ,calculate the potential energy gained.What happens to the energy if the body falls of the table and hits the floor?
Pe=mgh
Weight=mass×acceleration due to gravity
10N x height
10N x 2
20J
PE=mgh=10•2=20 J.
PE->KE
P.E=MGH=10*2*10=200J
To calculate the potential energy gained when lifting a body, you need to use the formula:
Potential Energy = Mass x Gravity x Height
In this case, you are given the weight of the body, which is 10N. To find the mass of the body, we divide the weight by the acceleration due to gravity.
Weight = Mass x Gravity
10N = Mass x 9.8 m/s^2
Mass = 10N / 9.8 m/s^2 ≈ 1.02 kg
Now, we can calculate the potential energy gained:
Potential Energy = Mass x Gravity x Height
Potential Energy = 1.02 kg x 9.8 m/s^2 x 2 m
Potential Energy = 19.96 Joules (rounded to two decimal places)
Therefore, the potential energy gained is approximately 19.96 Joules.
Now, let's consider what happens when the body falls off the table and hits the floor. As the body falls, it loses potential energy. This potential energy is converted into kinetic energy, which is the energy of motion.
When the body hits the floor, all of its potential energy is converted into kinetic energy. At this point, the body has no potential energy but has gained kinetic energy due to its motion.
It's important to note that some of the energy is also lost due to other factors like air resistance and friction. However, assuming ideal conditions with negligible energy loss, the potential energy gained is fully converted into kinetic energy when the body falls and hits the floor.