Question

Dimensions of kinetic energy are the
same as that of
(A) Force
(B) Acceleration
(C) Work
(D) Pressure​

Answer 1

Answer:

kinetic energy has one m,two L,and —2 time

(a) 1m1l-2t

option 4 is coorrect answer

plz mark as brainliest plzzzzzz

Answer 2

Explanation:-

Option → C

Let us find the formula of kinetic energy:-

→$K_e = \dfrac{1}{2}mv^2$

• Pure numbers are dimensionless.

→$K_e = mv^2$

• Put their dimensions.

→$[K_e] = (M) (LT^{-1})^2$

→$[K_e]= ML^2 T^{-2}$

Now,

Their is a trick that if any kind of energy has same dimensional formula.

As , we know the capacity of doing work is energy.

So , Kinetic energy and work has same dimension formula .

To check:-

→$W = F \times S$

→$[ W] = (ML^{-1}T^{-2} )\times L$

→$[W] = MLT^{-2}$