How do potential energy and K.E. of a spring vary with displacement ? Is this variation different from variation in potential energy and K.E. of a body in free fall ?

How do meristic variations differ from substantive variations?

Variation in acceleration due to gravity| Gravitational potential energy and Escape velocity

Assertion : The graph of potential energy and kinetic energy of a particle in SHM with respect to position is a parabola. Reason : Potential energy and kinetic energy do not vary linearly with position.

A light spring is vertical and a mass less pan is attached to it. Force constant of the spring is k. A block of mass m is gently dropped on the pan. Plot the variation of spring potential energy, gravitation potential energy and the total potential energy of the system as a function of displacement (x) of the block. For gravitational potential energy take referece level to the initial postion of the pan.

A body is executing simple harmonic motion. At a displacement x from mean position, its potential energy is E_(1)=2J and at a displacement y from mean position, its potential energy is E_(2)=8J . The potential energy E at a displacement (x+y) from mean position is

Which one of the following correctly represents the variation between linear momentum (P) and kinetic energy (E) ofa body?

A body executes simple harmonic motion. At a displacement x, its potential energy is U_1 . At a displacement y, its potential energy is U_2 . What is the potential energy of the body at a displacement (x + y)?

The gravitational potential energy of a body of mass ‘ m ’ at the earth’s surface -mgR_(e) . Its gravitational potential energy at a height R_(e) from the earth’s surface will be (Here R_(e) is the radius of the earth)

Figure shows variation of potential energy veses displacement graph. find correct statement

The gravitational potential energy of body of mass 'm' at the earth's surface mgR_(e) . Its gravitational potential energy at a height R_(e) fromt the earth's surface will be (here R_(e) is the radius of the earth)