Question

A force of 19.50 N gives a mass(m1) an acceleration of 5.75 m/s^2 and another mass(m2) and acceleration of 15.50 m/s2. What would be the acceleration of the two masses when they are fastened together?

Answer 1

Newton's Second law of motion

$F = ma \\ \\ m = \frac{F}{a}$

Therefore ,

$m1 = \frac{19.5}{5.75} \\ \\ m2 = \frac{19.5}{15.50}$

Combined mass = m1 + m2

Acceleration of system ( when blocks are fastened together ) = A

$A = \dfrac{F}{m1 + m2}$

Really sleepy now , please do the calculation part yourself >_<