Question

a resultant force of 200N gives a body of mass m1 an acceleration of 6m/s square and a body of mass m2 an acceleration of 36m/s square.what acceleration will this force cause when two masses combine together

Answer 1

F=200N

In case of m1

F=m1a

200=m1 6

m1=200/6

now for m2
F=m2a
200=m2×36

m2=200/36

$now \: total \: mass \: = m1 + m2 = \frac{200}{6} + \frac{200}{36} \\ = \frac{1400}{36} \\ now \: f = (m1 + m2)a \\ 200 = \frac{1400}{36} a \\ a = \frac{36}{7} m {sec}^{ - 2}$
hope it will help you