Laws Of Motion Question 275

Question: Three blocks A, B and C of masses 4 kg, 2 kg and 1 kg respectively, are in contact on a motionless surface, as shown. If a force of 14 N is applied on the 4 kg block then the contact force between A

Options:

A) 6 N

B) 8 N

C) 18 N

D) 2 N

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Acceleration of system $ a=\frac{F _{net}}{M _{total}} $

$ =\frac{14}{4+2+1}=\frac{14}{7}=2\text{ m/}{{m}^{2}} $

The contact force between A and B $ =( m _{B}+m _{C} )\times a=( 2+1 )\times 2=6\text{ N} $



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