Question

the dimensions of P.E of an object in mass, length & time are respectively

Answer 1

Mass in kg
Length in m (meter)
Time in s (second)
Now dimension of potential energy of an object as follow
We know that
Potential energy at height 'h' is given by
P.E. = mgh =( Mass)*(acceleration due to gravity)*( height)
= Kg * m/s^2 * h
= Force * height (distance)
=Work

Now dimension is
P.E. = FORCE x DISTANCE
=[ MLT^(-2)] x [L]. Known ​dimension
=[ ML²T^(-2)]
THIS IS THE REQUIRED DIMENSIONS OF POTENTIAL ENERGY

Answer 2

Potential energy = mgh
m = mass
g = gravity
h = height

Dimensions: [M][LT^-2][L] = [ML^2T^-2]