Potential Energy: Stored Energy of Position Possessed by an Object
Potential Energy: Potential energy is the stored energy of position possessed by an object.
Potential Energy Formula :
Potential Energy: PE = m x g x h
Mass:
Acceleration of Gravity:
Height:
where,
PE = Potential Energy, m = Mass of object, g = Acceleration of Gravity, h = Height of object,
Examples:
1. A cat had climbed at the top of the tree. The Tree is 20 meters high and the cat weighs 6kg. How much potential energy does the cat have? m = 6 kg, h = 20 m, g = 9.8 m/s2(Gravitational Acceleration of the earth) Step 1: Substitute the values in the below potential energy formula: Potential Energy: PE = m x g x h = 6 x 9.8 x 20 Potential Energy: PE = 1176 Joules
2. On a 3m ledge, a rock is laying at the potential energy of 120 J. What will be the mass of the rock. PE = 120 J, h = 3m, g = 9.8 m/s2(Gravitational Acceleration of the earth) Step 1: Substitute the values in the below Velocity formula:
3. A ball of mass 2 Kg is kept on the hill of height 3Km. Calculate the potential energy possessed by it?
Solution:
Mass of the body (m) = 2kg,
Height (h) = 3 Km,
Potential Energy possessed by the body = m × g × h
Where g = 9.8 m/s2
∴ Potential Energy = 2 kg × 9.8 m/s2 × 3 × 103 m = 6000 Kgm × 9.8 m/s2 = 58800 Nm = 58800 J.
4. : A boy is carrying a bucket of water of mass 5 Kg. If he does 500 J of work, to what height will he raise it?
Solution:
Mass of the water = m = 5Kg,
Potential energy P.E = 500 J,
Height h =?
Potential energy P.E = mgh
Height h = P.Emg = 5005×9.8 = 10.2 m.
5. A 800g ball is pulled up a slope as shown in the diagram. Calculate the potential energy it gains.
Solution:
In potential energy problems we are only interested in vertical
Potential Energy Formula :
Potential Energy: PE = m x g x h
Mass:
Acceleration of Gravity:
Height:
where,
PE = Potential Energy, m = Mass of object, g = Acceleration of Gravity, h = Height of object,
Examples:
1. A cat had climbed at the top of the tree. The Tree is 20 meters high and the cat weighs 6kg. How much potential energy does the cat have? m = 6 kg, h = 20 m, g = 9.8 m/s2(Gravitational Acceleration of the earth) Step 1: Substitute the values in the below potential energy formula: Potential Energy: PE = m x g x h = 6 x 9.8 x 20 Potential Energy: PE = 1176 Joules
2. On a 3m ledge, a rock is laying at the potential energy of 120 J. What will be the mass of the rock. PE = 120 J, h = 3m, g = 9.8 m/s2(Gravitational Acceleration of the earth) Step 1: Substitute the values in the below Velocity formula:
3. A ball of mass 2 Kg is kept on the hill of height 3Km. Calculate the potential energy possessed by it?
Solution:
Mass of the body (m) = 2kg,
Height (h) = 3 Km,
Potential Energy possessed by the body = m × g × h
Where g = 9.8 m/s2
∴ Potential Energy = 2 kg × 9.8 m/s2 × 3 × 103 m = 6000 Kgm × 9.8 m/s2 = 58800 Nm = 58800 J.
4. : A boy is carrying a bucket of water of mass 5 Kg. If he does 500 J of work, to what height will he raise it?
Solution:
Mass of the water = m = 5Kg,
Potential energy P.E = 500 J,
Height h =?
Potential energy P.E = mgh
Height h = P.Emg = 5005×9.8 = 10.2 m.
5. A 800g ball is pulled up a slope as shown in the diagram. Calculate the potential energy it gains.
Solution:
In potential energy problems we are only interested in vertical