Question

A force of 30 N gives a mass m1, an acceleration of 10m/s² and Mass m2, an acceleration of 15m/s². what acceleration would it give if both the masses tied together?​

Answer 1

$\color{Red}\huge{Answer}$

F = 5 N

• a1 = 10 m/s

• a2 = 15 m/s

M1 = $\frac{F}{a1}$

$\frac{5}{10}$

0.5 kg

M2 = $\frac{F}{a2}$

$\frac{5}{15}$

0.33 kg

When two masses are tied together, the total mass becomes.

• m = m1 + m2

• m = 0.5 + 0.33

• m = 0.83 kg

The acceleration produced in the combined mass by the force of 5 N is

a = $\frac{F}{m}$

$\frac{5}{0.75}$

6.67 m/s

Answer 2

Answer:

Using Newton's second law,

F = m a

5 = M1 × 10

M1 = 5/10 = 0.5 kg

And

5 = M2 × 20

M2 = 5/20 = 0.25 kg

Total mass = 0.5 + 0.25 = 0.75 kg

Now as per question,

Let common acceleration is a,

F = (M1 +M2) ×a

5 = 0.75 × a

a = 5/0.75 =500/75 = 6.67 m/s²

Step-by-step explanation:

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