Blocks of 1.0,2.0, and 3.0 are lined up on a table. A forward force of 12N is ap
ID: 1657329 • Letter: B
Question
Blocks of 1.0,2.0, and 3.0 are lined up on a table. A forward force of 12N is applied to the left most block. Which of the following statements must be true?
Please solve & Provide explanation. Thank you!
IW UL linue for the dresser HR ALL S I Sep fx and n = mg d) P> fx and n = mg P Blocks of 1.0, 2.0, and 30 kg are lined up on a table. A forward force of 12Nis applied to the left-most block. Which of the following statements is true 12 N a 1kg 2kg | 3 kg a a) The acceleration of the 1.0-kg block has the greatest magnitude. b) The acceleration of the 3.0-kg block has the greatest magnitude. c) The net force on the 3.0-kg block has the greatest magnitude. d) The net force on the 2.0-kg block has the greatest magnitude. e) The net force on the 10-kg block has the greatest magnitude. ) The net force is the same on all three blocks.Explanation / Answer
Treat the three blocks together as a system.
Net force = 12 N
Total mass = 1.0 + 2.0 + 3.0 = 6.0 kg
Acceleration a = 12/6.0 = 2.0 m/s^2
A) Consider 3kg block as the system. Only horizontal force is
force F23 by 2kg block.
Therefore F23 = 3.0 * a
Or F23 = 3.0 * 2.0
F23 = 6.0 N
B) Consider 1kg block block as the system.
Horizontal forces on the system are
1. Applied force 12 N
2. Force F21 by block 2 opposite to applied force.
Therefore 12 - F21 = 1.0 * 2
F21 = 10 N
C) Consider block 2
1) force F12 from right and force F32 from left
F12 - F32 = 4 N
Hence option (e) is the correct option