Sage-Tips

What do you mean by gravitational potential energy of a body obtain an expression for it for a body of mass m lying at a distance r from the Centre of the earth?

dW=Fdx. And total work done to bring the body from infinity to point p which is at distance r from the center of the earth. w=∫∞r​x2GmM​dx=−rGMm​ Hence, the gravitational potential energy =−rGMm​

Is gravitational potential energy the same as work done by gravity?

If an object is lifted, work is done against the force of gravity. When work is done energy is transferred to the object and it gains gravitational potential energy. If the object falls from that height, the same amount of work would have to be done by the force of gravity to bring it back to the Earth’s surface.

How much is gravitational potential energy?

Since the force required to lift it is equal to its weight, it follows that the gravitational potential energy is equal to its weight times the height to which it is lifted. PE = kg x 9.8 m/s2 x m = joules. PE = lbs x ft = ft lb.

What kind of work gravitational potential energy is?

Gravitational potential energy is usually given the symbol U g U_g Ug​U, start subscript, g, end subscript. It represents the potential an object has to do work as a result of being located at a particular position in a gravitational field.

What is the total amount of gravitational potential energy?

Since the force required to lift it is equal to its weight, it follows that the gravitational potential energy is equal to its weight times the height to which it is lifted. PE = kg x 9.8 m/s2 x m = joules.

What is gravitational potential energy?

Definition of gravitational potential energy. WITHOUT Acceleration? Gravitational potential energy is defined in the textbook as the amount of work done in bringing a mass from infinity to that point in gravitational field without producing acceleration. What does ‘without producing acceleration’ imply?

What is the potential energy of an object?

It is defined as the object’s ability to do work and is increased as the object is moved in the opposite direction of the direction of the force. The potential energy associated with a system consisting of Earth and a nearby particle is gravitational potential energy.

What is the unit of gravitational potential at infinity?

⇒ Important Points: 1 The gravitational potential at a point is always negative, V is maximum at infinity. 2 The SI unit of gravitational potential is J/Kg. 3 The dimensional formula is M 0 L 2 T -2.

What happens to potential energy when a weight is lifted vertically?

A weight lifted vertically to acquire gravitational potential energy. If the force were to be removed, the object would fall back down to the ground and the gravitational potential energy would be transferred to kinetic energy of the falling object.