Question

A force of 5 Newton's give a mass M1 and acceleration of 8 metre per second square and the mass M2 and acceleration 24 metre per second square what is acceleration would it give it if both the masses are tied through​

Answer 1

✿AnSwer:

Acceleration will be 6 m/s²

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☯GiVen:

It is given that a force of 5N gives mass of M1 and acceleration 8m/s² and mass M2 with acceleration 24 m/s².

☯To Find:

We have to find the acceleration if both the masses are tied together.

☯SoluTion:

Now, firstly let us find the force for the 1st body.

$\sf \longmapsto \: \: F=ma \\ \\ \sf \longmapsto \: \: 5=m_{1} \times 8 \\ \\ \sf \longmapsto \: \:m_{1}= \dfrac{5}{8} kg$

Similarly, let us find force of 2nd body,

$\sf \longmapsto \: \: F=ma \\ \\ \sf \longmapsto \: \:5 = m_{2} \times 24 \\ \\ \sf \longmapsto \: \:m_{2} = \frac{5}{24} kg$

Also,

★ Combined mass of both bodies,

$\sf \longmapsto \: \: m _{1}+m_{2}= \dfrac{5}{8} + \dfrac{5}{24} \\ \\ \sf \longmapsto \: \: \dfrac{(15 + 5)}{24} \\ \\ \sf \longmapsto \: \: \dfrac{20}{24} kg$

By considering above values,

$\sf \longmapsto \: \: F=ma \\ \\ \sf \longmapsto \: \:5= \frac{20}{24} \times a \\ \\ \sf \longmapsto \: \: a=5 \times \frac{20}{24} \\ \\ \sf \longmapsto \: \:{ \underline{ \boxed{ \bf{ \purple{a= 6m/ {s}^{2} }}}}} \: \bigstar$

Therefore, the acceleration will be 6 m/s².

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Answer 2

Answer:

6 metre per second square