Two bodies. X and Y of mass m and M respectively exert forces on each other and no other forces act on them. The force on X is F and the acceleration is a. Which of the following pairs is correct?

Magnitude of force on Y Magnitude of acceleration of Y
A. m/M x F a
B. F ma/M

Question

Magnitude of force on Y Magnitude of acceleration of Y
A. m/M x F a
B. F ma/M

HIX Tutor · Accepted Answer

undefined To solve this, we can use Newton's second law, which says:

**Force = Mass × Acceleration (F = m × a)**

1. **Identify the bodies**: We have two bodies, X with mass $ m $ and Y with mass $ M $.
2. **Forces**: Body X feels a force $ F $, and it accelerates with $ a $.

Now, let's find the right pairs:

- For body X: 
  - The force on X is $ F $.
  - So, $ F = m × a $.

- For body Y: 
  - The force on Y (due to X) is also $ F $ (by Newton's third law).
  - The acceleration of Y can be found from $ F = M × a_Y $.

**Correct pairs would be**:

1. **Force on X**: $ F = m × a $
2. **Force on Y**: $ F = M × a_Y $

Remember, the forces are equal and opposite. So they push on each other!

Adrian Ayala · Answer

In this case, the larger block's reactional force on the smaller block will be its force, and vice versa.

If,that force is #R# we can say,this force will act against the direction of applied force #F# on the smaller block.

Given,its acceleration is #a#

So,we can say, #F-R=ma...........................1#

Because there is no frictional force, the smaller block's reaction force is acting on the larger block to cause it to move, so we can write for it as,

#R=Ma'# (where, #a'# is the acceleration of the larger block)

Putting #R=Ma'# in #1# we get,

#F-Ma'=ma#

or, #a'=(F-ma)/M#

and, #R=F-ma# (from #1#)

Charlotte Aaron · Answer

undefined The correct pair is:

$ \text{Force on Y} = -F $
$ \text{Acceleration of Y} = -\frac{m}{M}a $

Two bodies. X and Y of mass m and M respectively exert forces on each other and no other forces act on them. The force on X is F and the acceleration is a. Which of the following pairs is correct?

Magnitude of force on Y Magnitude of acceleration of Y A. m/M x F a B. F ma/M

Magnitude of force on Y Magnitude of acceleration of Y
A. m/M x F a
B. F ma/M