Advertisements
Advertisements
प्रश्न
Two bodies of same masses are placed at heights h and 2h. Compare their gravitational potential energy.
Advertisements
उत्तर १
Gravitational pot. Energy of A: Gravitational pot.
energy of B = `(mgh)/(2mgh) = 1/2` = 1 : 2
उत्तर २
The gravitational potential energy (GPE) of an object is given by the formula:
GPE = mgh
Where:
- m = mass of the object
- g = acceleration due to gravity
- h = height of the object
For the two bodies:
-
First body at height h:
GPE1 = mgh -
Second body at height 2h:
GPE2 = mg (2h) = 2mgh
Ratio of their GPEs:
`(GPE_1)/(GPE_2) = (mgh)/(2mgh) = 1/2`
The gravitational potential energy of the second body is twice that of the first body. Thus, GPE2 : GPE1 = 2 : 1.
APPEARS IN
संबंधित प्रश्न
A bucket full of water is on the first floor of your house and another identical bucket with the same quantity of water is kept on the second floor. Which of the two has greater potential energy?
The potential energy of a body is the energy by virtue of its ______.
A body falls freely under gravity from rest. Name the kind of energy it will possess at the point from where it falls.
Two bodies A and B of equal masses are kept at heights of h and 2h respectively. What will be the ratio of their potential energies?
A weightlifter is lifting weights of mass 200 kg up to a height of 2 metres. If g = 9.8 m s−2, calculate :
potential energy acquired by the weights.
A weightlifter is lifting weights of mass 200 kg up to a height of 2 metres. If g = 9.8 m s−2, calculate :
work done by the weightlifter
A boy weighing 50 kg climbs up a vertical height of 100 m. Calculate the amount of work done by him. How much potential energy does he gain? (g = 9.8 m/s2)
A car is accelerated on a levelled road and acquires a velocity 4 times of its initial velocity. During this process, the potential energy of the car :
The energy, possessed by an object due to its position is called ______.
The potential energy is
