Question

Newton’s second law states that the acceleration a of an object is proportional to the force F acting on it is inversely proportional to its mass m. That is, a = F / mWhat are the dimensions of force?

Answer 1

`[F]=[MLT^(-2)]`

Step-by-step explanation:

Newton’s second law states that the acceleration a of an object is proportional to the force F acting on it is inversely proportional to its mass m. The mathematical expression for the second law of motion is given by :

F = m × a

F is the applied force

m is the mass of the object

a is the acceleration due to gravity

We need to find the dimensions of force. The dimension of force m and a are as follows :

`[m]=[M]`

`[a]=[LT^(-2)]`

So, the dimension of force F is,
`[F]=[MLT^(-2)]`. Hence, this is the required solution.