Question

what is potential energy? Derive an equation for gravitational potential energy of a body of mass m at a height h.???

Answer 1

Hey 

The Workdone in bringing a mass particle from infinity to a particular position in the gravitational field of an other mass without acceleration is called gravitational potential energy 

F(g) = GmM/x²

F(ext) = F(g) = GMm/r²

= ∫F(vector) g . (-dx) 

= ∫ -Fg dx 

= $-\int\limits^r_ {∞} GmM\, dx$

= $- GmM \int\limits^r_∞ { \frac{1}{x^2} } \, dx$

= - GmM[x⁻¹](r and ∞) 

= -GmM[ 1/r - 1/∞] 

= W(c) = W(g) = -ΔU = GmM/r 

-Δ( U(f) - u(I) ) = GmM/r 

U(f) - U(I) = -GmM/r 

U(f) = -GmM/r 

Answer 2

POTENTIAL ENERGY:

The energy possessed by the body because of it position or shape is called potential energy.

DERIVATION OF EQUATION FOR GRAVITATIOAL POTENTIAL ENERGY,

Mass of the body = m

Height at which the body =h

Potential energy = work done to

Bring the body to the

height 'h'

= F×S

Where the F is the force required to lift the body

F= mg

S= h

Potential energy = mgh

Therefore, the equation for gravitational potential energy of a body of mass m at a height h is mgh.

HOPE ITS HELPFUL...........