Question

. If the sum of K.E and P.E equals, some constant alpha. What is the dimension of alpha.
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Answer 1

Answer ⤵️

We have been given a situation in which kinetic energy and potential energy is given by a constant “a”.

Now we know the product of mass and velocity squared gives us kinetic energy.

So the dimensional formula for kinetic energy is given by M^1L^2T^{-2}.M

1

L

2

T

−2

.

We also know that potential energy is the product of mass and acceleration and height or altitude and the dimensional formula for potential energy is given by M^1L^2T^{-2}.M

1

L

2

T

−2

.

The sum of these two energies will also be a kind of energy.

Hence the dimensional formula for constant "a" would also be M^1L^2T^{-2}.M

1

L

2

T

−2

.

Answer 2

Answer:

the dimensions will be [M1 L2 T-2]

Explanation:

the dimensions will be equal to the dimensions of energy