Question

Solve the given problems
1. Two bodies have a mass ratio of 3:4 The force applied on the bigger mass produces an acceleration of 12 ms 2 What could be the acceleration of the other body, if the same force acts on it. ​

Answer 1

Answer:

16 m/s²

Explanation:

As per the provided information in the given question, we have :

• Masses of two bodies are in the ratio of 3:4.
• The force applied on the bigger mass produces an acceleration of 12 m/s².

We've been asked to calculate the acceleration of the other body, if the same force acts on it.

Let us suppose assume the masses of bodies as 3x kg and 4x kg respectively.

Clearly,

• 3x < 4x

Now, according to the question the force applied on the bigger mass produces an acceleration of 12 m/s².

Here, the bigger mass is 4x kg. So, acceleration produced on the body of mass 4 kg is 12 m/s². Henceforth,

ㅤㅤㅤ → F = ma

ㅤㅤㅤㅤ→ F = (4x × 12) N

ㅤㅤㅤㅤ→ F = 48x Nㅤㅤㅤㅤ… ( 1 )

Also, according to the question, the same force acts on the other body. So, in both cases force would be same. Mass of the another body is 3x kg.

ㅤㅤㅤ → F = ma

ㅤㅤㅤㅤ→ 48x = 3x × a

ㅤㅤㅤㅤ→ 48x ÷ 3x = a

ㅤㅤㅤㅤ→ 16 m/s² = Acceleration

∴ The acceleration of the other body is 16 m/s².