Question

write the expression for gravitational potential energy between two masses separated by a distance.​

Answer 1

Answer:

In space, it is possible to find the potential energy of gravity between two objects separated by a distance. This potential energy formula contains a constant, G, which is called the "universal gravitational constant". Its value is = 6.673 x 10-11 (N∙m 2)/kg 2. The unit of potential energy is the Joule (J), where 1 J = 1 N∙m = 1 kg m 2 /s 2. U = potential energy of gravity between two objects. G = the universal gravitational constant, G = 6.673 x 10-11 (N∙m 2)/kg 2

Gravitational Potential Energy Formula. The equation for gravitational potential energy is: ⇒ GPE = m⋅g⋅h. Where, m is the mass in kilograms, g is the acceleration due to gravity (9.8 on Earth) h is the height above the ground in meters.

Explanation:

Answer 2

Answer:

Between the two masses separated by distance r Gravitational potential energy is given as follows            

     $U = -\frac{GMm}{r}$

Explanation:

When an object of a certain mass is subjected to gravity, it is subjected to a force known as gravitational force.

When an object is moved in the presence of gravitational force, work is done and this work is stored as Gravitational Potential Energy. U stands for Gravitational Potential Energy.

Step 1

Gravitational force is  

force ∝ product of masses

 force ∝  $\frac{1}{distance \ \ square}$

$F =\frac{GMm}{r^{2} }$

  ( where G= gravitational constant )                

  Step 2

work done  = F.dx

$w=\int\limits^r_b {F} \, dr$      (b= ∞)

$w=\int\limits^r_b {\frac{GMm}{r^{2} } } \, dr]\\\\w= -\frac{GMm}{r}$

this work done is stored as energy  

$U= -\frac{GMm}{r}$