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Q.35 Physics · Section A ⭐ 360° Option Elimination Active
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NEET 2024 Physics Question 35 Solution

Topic: Laws of Motion · Official NTA Booklet Code T1
NEET 2024 Physics Question 35: Contact Force Between Two Accelerating Blocks

Question

kbar, respectively. The solubility ofthese gases

✓
Verified Against NTA Final Answer Key
Option (1) : 6 N
📚 Laws of Motion Easy
📋 Given Parameters & Problem Setup
Mass of block A m_A = 2 kg
Mass of block B m_B = 3 kg
Applied horizontal force on A F = 10 N
Surface Frictionless horizontal surface
⚡

The 30-Second Exam Hall Shortcut: ⚡ Isolated Block B Acceleration Shortcut

⏱️ Save ~40 seconds

System a = F / (m_A + m_B) = 10 / (2 + 3) = 2 m/s²; Force on B is purely m_B × a = 3 × 2 = 6 N!

1 Combine blocks into one system: total mass M = 2 + 3 = 5 kg.
2 Common acceleration a = F / M = 10 / 5 = 2 m/s².
3 Block B accelerates at 2 m/s² solely due to the normal contact force N from block A.
4 By Newton’s second law for block B: N = m_B × a = 3 kg × 2 m/s² = 6 N.
5 Option (1) in under 5 seconds!
🛡️
Why You Can 100% Trust This Shortcut: Newton’s Second and Third Laws of Motion (Internal normal contact force: N_AB = m_B · a_system).
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Acceleration of the Combined System

Since both blocks slide together on a frictionless surface, they share a common horizontal acceleration a. Treating both blocks as a single system of total mass M = m_A + m_B:

a=FmA+mB=10 N2 kg+3 kg=105=2 m/s2a = \frac{F}{m_A + m_B} = \frac{10\,\text{N}}{2\,\text{kg} + 3\,\text{kg}} = \frac{10}{5} = 2\,\text{m/s}^2
Step 2

Free Body Diagram of Block B

Block B of mass m_B = 3 kg experiences only one horizontal force: the normal push force N exerted by block A on block B acting to the right. Applying Newton’s second law:

ΣFx=N=mB⋅a\Sigma F_x = N = m_B \cdot a
Step 3

Calculation of Normal Contact Force

Substitute m_B = 3 kg and a = 2 m/s²:

N=3 kg×2 m/s2=6 NN = 3\,\text{kg} \times 2\,\text{m/s}^2 = 6\,\text{N}
Step 4

Cross-Verification on Block A

For block A: F - N = m_A · a => 10 - 6 = 2 kg × 2 m/s² = 4 N, which confirms perfect dynamic equilibrium.

10−N=(2)(2)  ⟹  N=6 N10 - N = (2)(2) \implies N = 6\,\text{N}
⭐

360° Option Elimination Engine Key Feature

Diagnose every choice: Know exactly why the right option works and why distractors fail.

4-Option Deep Scan
1 (1)
✓ 100% Correct
Verdict & Scientific Reason:

Exact contact force: N = m_B · a = 3 × 2 = 6 N.

💡
Why this is airtight: None.
2 (2)
✗ Incorrect
Verdict & Scientific Reason:

This is the full external force applied to block A, ignoring inertia of block A.

⚠️
Student Fallacy (Why candidates pick this trap): Assuming the external force transmits 100% undiminished to block B.
3 (3)
✗ Incorrect
Verdict & Scientific Reason:

If contact force were zero, block B could not accelerate.

⚠️
Student Fallacy (Why candidates pick this trap): Thinking normal reaction exists only on vertical surfaces.
4 (4)
✗ Incorrect
Verdict & Scientific Reason:

This is the net force accelerating block A (m_A · a = 2 × 2 = 4 N), NOT the force on block B!

⚠️
Student Fallacy (Why candidates pick this trap): Calculating m_A · a instead of m_B · a.
⚠️

NTA Trap Alert: Calculating Force on Block A (4 N) Instead of Block B (6 N)

Option (4) offers 4 N, which is m_A · a. Students often mix up which block’s mass multiplies the acceleration.

🛡️ How to avoid the -1 mark: The contact force pushes block B forward, so it must accelerate block B: N = m_B × a = 3 × 2 = 6 N.
📖

Core NEET Syllabus Standard

Physics Core Mechanics · Laws of Motion Standard Benchmark
Core Scientific Principle Tested:

"In a multi-block system pushed from one side, the contact force between blocks equals the total trailing mass multiplied by the common acceleration."

Syllabus Focus: Newton’s Second Law and Systems of Interacting Bodies
✓ Core NEET UG Syllabus Anchor Syllabus & Academic Standards ↗
Push from A means B must ride: Mass of B times a on the other side!

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