Connected Bodies
Three blocks of masses 1 kg, 2 kg, and 3 kg are connected by strings on a frictionless surface. A force of 12 N is applied to the 1 kg block, pulling the system. What is the tension in the string between the 1 kg and 2 kg blocks?
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About This Question
- Subject
- physics
- Chapter
- laws of motion
- Topic
- connected bodies
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
10 N
- System Acceleration: Since all blocks move together, a=Fext/∑m.
- a=12/(1+2+3)=12/6=2 m/s2.
- Free Body Diagram (2 & 3 together): The string between the 1kg and 2kg blocks must pull BOTH the 2kg and 3kg masses.
- Tension Formula: T1=(m2+m3)×a.
- Calculation:
- T1=(2+3)×2=5×2=10 N.
- Alternative: Look at the 1kg block: F−T1=m1a⟹12−T1=1×2⟹T1=10 N.
This medium difficulty physics question is from the chapter laws of motion, covering the topic of connected bodies. It appeared in the 2025 exam.
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