Answer to Question #122299 in Mechanics | Relativity for Chiaha Chibuike

Question

Prove that Newton's second law is dimensionally correct

Answer 1

Answer: Newton's second law is formulated as follows: the acceleration that a body acquires as a result of a force is directly proportional to that force and inversely proportional to the mass of the body.

$\overrightarrow{a}=\dfrac{\overrightarrow{F}}{m};$

1N is equal to the force which, acting on a body of mass 1kg, gives it an acceleration of 1m / s².

$[a]=\dfrac{1N}{1kg}=\dfrac{1kg\sdot1m/s^2}{1kg}=1m/s^2.$