Question

A force of 5 Newtons gives a mass m1 an acceleration of 8m/s², and a mass m2 an acceleration if 24m/s². What acceleration would it give if both the masses are tied together? ​

Answer 1

Solution :

In the first case :

• Force(F) = 5N

• Mass(m) = $\sf{m}_{1}$ (To be calculated)

• Acceleration(a) = 8m/s²

Now,

★ Force = Mass × Acceleration

→ 5 = $\sf{m}_{1}$ × 8

→ $\sf{m}_{1} = \dfrac{5}{8}$ kg

→ $\sf{m}_{1}$ = 0.625 kg

$\therefore\sf{m}_{1}$ is 0.625 kg

In the second case :

• Force(F) = 5N

• Mass(m) = $\sf{m}_{2}$ (To be calculated)

• Acceleration(a) = 24m/s²

Now,

★ Force = Mass × Acceleration

→ 5 = $\sf{m}_{2}$ × 24

→ $\sf{m}_{2} = \dfrac{5}{24}$ kg

→ $\sf{m}_{2}$ = 0.208 kg

$\therefore\sf{m}_{2}$ is 0.208 kg

In the third case :

• Force(F) = 5N

• Mass(m) = $\sf{m}_{1} + {m}_{2}$

• Acceleration(a) = ? (To be calculated)

→ Total Mass = 0.625 + 0.208

→ Total Mass = 0.833 kg

Now,

★ Force = Mass × Acceleration

→ 5 = 0.833 × a

→ a = $\sf\dfrac{5}{0.833}$

→ a = 6m/s²

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

Answer 2

Answer:

Explanation:

Thank you so much for the answer.