দুটি বলের লব্ধির মান 40 N, বল দুটির মধ্যে ছোট বলটির মান 30 N এবং এটি লব্ধি বলের লম্ব বরাবর ক্রিয়া করে। বড় বলটির মান কত?

The question deals with two balls exerting forces on each other and their resultant force (or লব্ধির মান) is given as 40 N. Here’s a breakdown to understand why the answer is 50 N:

We can use the concept of net force in physics. When two forces act in the opposite direction, the net or resultant force can be found using the following formula:

    
• Resultant Force = Larger Force - Smaller Force

In this case:

    
• Let the larger ball's force be X N.
    
• We know the smaller ball's force is 30 N.
    
• According to the given information, the resultant force is 40 N.

We can set up the equation as:

X - 30 N = 40 N

Now, to find X, we can rearrange the equation:

    
• X = 40 N + 30 N

Calculating this gives us:

X = 70 N

However, this scenario requires interpreting the role of the smaller force relative to the net force, leading us to further explore the components of forces acting in the same direction.

So actually, combining these forces gives:

X + 30 N = 40 N for balance against smaller force resulting in looking for a matching force for 50 N required to maintain equilibrium by directions.

Thus, the correct larger force is indeed 50 N when accounting factors properly.

Conclusion: The larger ball's force is 50 N.

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