Question

A force of 20 N, acting on a mass of ${m_1}$ produces an acceleration of 4 m/s$^{2}$. The same force when applied to a mass ${m_2}$, gives it an accleration of 0.5 m/s$^{2}$. what acceleration would be the same force produce, when both masses are tied together.​

Answer 1

Answer:

Answer is 0.44m/s^2.Look at the image.

Answer 2

Answer:

Given that:-

A force of 20 N, acting on a mass of ${m_1}$ produces an acceleration of 4 m/s$^{2}$. The same force when applied to a mass ${m_2}$, gives it an accleration of 0.5 m/s$^{2}$.

To find:-

Acceleration produced by the same force when they are tied together.

Solution:-

First we need to find mass of ${m_1}$ and mass of ${m_2}$.

For the mass of ${m_1}$

Force ( F )= 20 N;

acceleration ( a ) = 4 m/s$^{2}$

We know that,

Mass = Force/acceleration

So, ${m_1}$ = F/a = 20/4 = 5kg.

For the mass of ${m_2}$

Force ( F )= 20 N;

acceleration ( a ) = 0.5 m/s$^{2}$

We know that,

Mass = Force/acceleration

So, ${m_2}$ = F/a = 20/0.5 = 40kg.

Now, when ${m_1}$ and ${m_2}$ are tied together their masses together = ${m_1}$ + ${m_2}$ = 5 + 40 = 45 kg.

Force = 20 N (given)

Now, acceleration = F/m = 20/45 = 0.44 m/s$^{2}$