Question

Potential energy depends on mass of object acceleration due to gravity & height of object from the surface by dimensional analysis

Answer 1

Dimension of Potential Energy is ML^2T^-2

P.E. = mgh

m = mass

g = acceleration due to gravity

h = height

Dimension of mass = M

Dimension of acceleration due to gravity = LT^-2

Dimension of height = L

mgh = M ×LT^-2 × L

= ML^2T^-2

Hence P.E. = mgh

Answer 2

Answer:

P.E. = mgh

Explanation:

Dimension of Potential Energy is ML^2T^-2

P.E. = mgh

m = mass

g = acceleration due to gravity

h = height

Dimension of mass = M

Dimension of acceleration due to gravity = LT^-2

Dimension of height = L

mgh = M ×LT^-2 × L

= ML^2T^-2

Hence P.E. = mgh