Question

m1 and m2 are the masses of two bodies. When a force of 5 N is applied on each body, m, gets an acceleration of 10 m/s2 and m,, 20 m/s2. If the two bodies are tied together and the same force is applied, find the acceleration of the combined system.​

Answer 1

Answer:

A force of 5 N is applied on two bodies, and corresponding accelerations are 10 m/s2 and 20 m/s2. If the two bodies are tied together and the same force is applied, the acceleration of the combined system is $6.6m/s^{2}$

Explanation:

• For classical particles Newton's second law  ($F=ma$ ) of motion, said that acceleration of a body is directly proportional to the force applied and inversely proportional to the constant mass

so the mass of the body = force/acceleration

The applied force $F=5N$

the acceleration of the first body $a_{1} =10m/s^{2}$

so the mass of the first body $m_{1} =F/a_{1}=5/10=0.5kg$

and the acceleration of the second body $a_{2} =20m/s^{2}$

then the mass of the second body $m_{2} =F/a_{2} =5/20=0.25kg$

now the two bodies are tied together total mass will be $m_{1} +m_{2}=0.5+0.25=0.75kg$

since same force is applied the acceleration of the system is

$a=5/0.75=6.6m/s^{2}$