Question

can anyone please help me out


A force of 5 N gives a mass mį, an acceleration of 8 m/s, and a mass m2, an
acceleration of 24 m/s . What acceleration would give if both the masses are tied
together?​

Answer 1

FIRSTLY I MAKE SURE THAT YOU KNOW WHAT THE FORCE ACTUALLY IS....✓

THE PRODUCT OF THE MASS OF THE OBJECT WITH THE ACCELERATION OF THAT PARTICULAR BODY IS KNOWN AS FORCE.....✓

$by \: the \: given \: data \: we \: can \: write \ \\ the \: value \: of both \: masses.... \\ \\ for \: mass \: 1 \\ \\ force = mass \times acceleration \\ \\ force = 5 \\ acceleration = 8m \: {sec}^{ - 2} \\ \\ 5 = 8 \times mass1 \\ \frac{5}{8} = mass1 .......eq(1) \\ \\ for \: second \: mass \\ \\ acceleration = 24m \: {sec}^{ - 2} \\ \\ force = mass2 \times acceleration \\ 5 = 24 \times mass2 \\ \\ \frac{5}{24} = mass2.......eq(2) \\ \\ add \: eq(1) \: and \: eq(2) \\ \\ total \: mass = \frac{5}{8} + \frac{5}{24} \\ \\ 5( \frac{1}{8} + \frac{1}{24} ) \\ \frac{5}{8} (1 + \frac{1}{3} ) \\ \frac{5}{8} \times \frac{4}{3} \\ \\ total \: mass = \frac{5}{6} \\ \\ force = mass \times acceleration \\ \\ 5 = acceleration \times \frac{5}{6} \\ \\ acceleration = 6m {sec}^{ - 2}$