Question

A force of 5N gives a mass m1, am acceleration of 10 m/s^2 and a mass m2, an acceleration of 20 m/s^2. What acceleration would it give if both the masses are tied together?

Answer 1

see the answer in the above photo uploaded

Answer 2

Answer:

The acceleration of the system of both masses combined will be $a=6.66\ m/s^2$

Explanation:

The magnitude of the force applied on each mass is F=5 N

The acceleration of first mass $m_{1}$ is $a_{1}=10 \ m/s^2$

The acceleration of second mass $m_{2}$ is $a_{2}=20\ m/s^2$

The mass $m_{1}$ will be

$F= m_{1}a_{1}\\m_{1}=\dfrac{F}{a_{1}}\\m_{1}=\dfrac{5}{10}\\m_{1}=0.5 \ kg$

The mass $m_{2}$ will be

$F=m_{2} a_{2}\\m_{2}=\dfrac{F}{a_{2}}\\m_{2}=\dfrac{5}{20}\\m_{2}=0.25\ kg$

Now both the block are in same system then,

Total mass of the system is

$M=m_{1}+m_{2}\\M=0.5+0.25\\M=0.75\ kg$

The magnitude of force on the system is same

The acceleration of the system is

$F=Ma\\a=\dfrac{F}{M}\\a=\dfrac{5}{0.75}\\a=6.66\ m/s^2$