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The exercise shows two identical blocks, \( X \) and \( Y \), each of mass \( m \), in contact with each other on a frictionless horizontal surface. A horizontal force \( F \) is applied to block \( X \). The question asks which statement is true under these conditions:

1. **Analysis of Statements**:
   - **Statement A**: "X will exert a force of magnitude \( F \) on Y."  
     - This is **incorrect** because the force \( F \) applied to block \( X \) is used to accelerate both \( X \) and \( Y \), so the force exerted by \( X \) on \( Y \) would actually be less than \( F \).

   - **Statement B**: "X will undergo an acceleration of \( F/m \)."  
     - This is also **incorrect**. The combined mass of the two blocks \( (2m) \) will accelerate together due to the force \( F \). Therefore, the acceleration \( a \) of both blocks is \( a = \frac{F}{2m} \).

   - **Statement C**: "X will exert a force of \( F/2 \) on Y."
     - This is **correct**. Since both blocks accelerate at \( \frac{F}{2m} \), the force that \( X \) exerts on \( Y \) is indeed \( \frac{F}{2} \), which is the force required

Two identical blocks, X and Y, each of mass m, lie on a frictionless horizontal surface with their adjacent faces in contact. If a horizontal force F is applied to X, which statement is true? (Options: A, B, C, D)

Explore the solution to a physics problem involving two identical blocks on a frictionless surface, where a horizontal force F is applied to one block. This question examines Newton's laws, the calculation of acceleration, and interaction forces between blocks. Suitable for students in Grades 10-12.

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