Understanding the Concepts
* Newton's Second Law: Force (F) equals mass (m) times acceleration (a): F = ma
* Combined Mass: When objects are glued together, their masses add up.
Solving the Problem
1. Original Situation: Let's say the original block has a mass of 'm' and experiences an acceleration of 'a' when pulled with force 'F'. Using Newton's Second Law: F = ma
2. Glued Blocks: Now, two identical blocks are glued together, so the combined mass is 2m. The force pulling them is doubled, becoming 2F.
3. New Acceleration: Applying Newton's Second Law to the glued blocks:
* 2F = (2m) * a'
* Where 'a'' is the new acceleration.
4. Simplifying: Notice that the '2' cancels out on both sides of the equation:
* F = ma'
5. Conclusion: The new acceleration (a') is the same as the original acceleration (a).
In Summary
Even though the force is doubled and the mass is doubled, the acceleration of the two glued blocks remains the same as the original single block. This is because the ratio of force to mass remains constant.
