Derive the mathematical form of second law of motion. A force of 5 N produces an acceleration of 8 m s-²on a mass m1 and an acceleration of24 m s2 on a mass m2. What acceleration wouldthe same force provide if both the masses are tiedtogether?

Derive the mathematical form of second law of motion. A force of 5 N

1.	Derive the mathematical form of second law of motion. A force of 5 N produces an acceleration of 8 m s-²on a mass m1 and an acceleration of24 m s2 on a mass m2. What acceleration wouldthe same force provide if both the masses are tiedtogether?
Answer» AnswerFrom Newton's second law of motion, the APPLIED force is directly proportional to the acceleration produced or F=maThe unit of force is newton in SI DENOTED by the symbol N.Forces acting on a mass m 1 with acceleration a 1 and mass m 2 with acceleration a 2 are as GIVEN below.m 1 = a 1 F = 85 kg.m 2 = a 2 F = 245 kg.M=( 85 + 245 )kg=( 65 )kgAcceleration produced in M (when the two masses are tied TOGETHER),a= MF = 65 5 =6 ms −2