Question

A force of 5N given a mass m1 and acceliration of 8m/s square. and a mass m2 an acceliration of 24m/s square .What acceliration would it given if the both the masses are tied together.

Answer 1

Given,

Force, F=5N

Acceleration,a=8 

Using, F=ma

5=m1 x 8

or m1=5/8 kg

For second mass,

Acceleration, a=24

Force, F=5 N

Again using F=ma

F=m2 x 24

or m2=5/24 kg

When both the masses are tied together,

Then total mass, m=m1+m2

m=(5/8)+(5/24)=20/24 kg

Now,

F=ma

or 5=(20/24)a

or a=6