Understanding the Concepts
* Newton's Second Law: Force (F) is directly proportional to acceleration (a) and mass (m): F = ma.
* Combined Mass: When objects are glued together, their masses add up.
Applying the Concepts
1. Original Situation:
- Let the mass of each block be 'm'.
- Let the original force applied to a single block be 'F'.
- The acceleration of a single block would be a = F/m.
2. Glued Together:
- The combined mass of the two blocks is 2m.
- The force applied is doubled, so it's 2F.
3. Calculating Acceleration:
- Using Newton's Second Law: a = (2F) / (2m) = F/m
Conclusion
The acceleration of the two blocks glued together, when pulled with twice the original force, will be the same as the acceleration of a single block pulled with the original force.
Why?
The doubled force perfectly compensates for the doubled mass, resulting in the same acceleration.