Question

A force of 5 Newton's gives a mass m1 an acceleration of 8m/s^2,and a mass m2 an acceleration of 24m/s^2. What acceleration would it give if both masses are tied together?​

Answer 1

Answer:

➢In the 1st Case:

Force (F) = 5 N

Mass (m) = $\sf{m_{1}}$

Acceleration (a) = 8 m/s²

Now,

F = m × a

so,

50 = $\sf{m_{1}}$ × 8

$\sf{m_{1}}$ = 5/8kg

$\sf{m_{1}}$ = 0.625 kg

Thus,

The mass $\sf{m_{1}}$ is 0.625 kg.

➢In 2nd Case:

Force(F) = 5 N

Mass (m) = $\sf{m_{2}}$

Acceleration (a) = 24 m/s²

Now,

F = m × a

So,

5 = $\sf{m_{2}}$ × 24

$\sf{m_{2}}$ = 5/24 kg

$\sf{m_{2}}$ = 0.208 kg

Thus,

The mass $\sf{m_{2}}$ is 0.208 kg.

➢In 3rd Case:

Force (F) = 5 N

Total Mass (m) = $\sf{m_{1}}$ + $\sf{m_{2}}$

= 0.625 + 0.208

= 0.833 kg

Acceleration (a) = ?

Now,

Putting Values in Formulas,

F = m × a

5 = 0.833 × a

a = 5/0.833

a = 6 m/s²

Thus,

If both the masses are tied together, then the acceleration would be 6 m/s².

Thanks