Prove that a = F / m According To Newton’s Second Law of Motion
Here we need to prove that a = F / m or there is an inverse relationship between acceleration (a) and mass (m) of the body if a force is applied on the body. We already know that according To Newton’s Second Law of Motion : F = ma So from this equation, we get: a = F / m Now, here is the proof that: a = F / m Suppose a body of Mass 10 kg is moving by applying a Force of 30 N, then what is the acceleration of the body? We know that: F = ma a = F / m a = 30 / 10 = 3 Left Hand Side = a = 3m/s 2 Now taking Right Hand Side, we get: Right Hand Side = F / a Right Hand Side = 30 / 10 Right Hand Side = 3 (Newton / Kg) Hence a = F / m Hence we have proved that there is an inverse relationship between a and m of the body according to Newton’s Second Law of Motion .