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PhysicsNLMFrictionMedium2 minQB

PhysicsMediummultiple choice

Passage / Comprehension

In a two-block system, an external force F is applied to block B as shown. The coefficient of friction between A and B is μ = 0.6, and there is no friction between B and the ground. Their accelerations are a_A and a_B, and the friction force between them is f. The masses of A and B are 2 kg and 4 kg, respectively.

Shared passage diagram

If $F = 18 N$ , then :

Options:(select one or more)

Answer:

A, B, C, D

Solution:

Test whether the two blocks can move together under F=18 N.

$a = \frac{F}{m _{A} + m _{B}} = \frac{18}{2 + 4} = 3 m/ s^{2}$

$f_{needed} = m_{A} a = (2) (3) = 6 N$

$f_{s, m a x} = μ m_{A} g = (0.6) (2) (10) = 12 N$

$6 N < 12 N$

Static friction is sufficient, so there is no slip. Both blocks accelerate at 3 m/s² and the contact friction is 6 N (A, B, C, D).

Stream:JEESubject:PhysicsTopic:NLMSubtopic:Friction

⏱ 2mℹ️ Source: QB

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