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NEET PHYSICSLAWS OF MOTIONEasy

Question

The mass of a lift is 2000 kg2000 \text{ kg}. When the tension in the supporting cable is 28000 N28000 \text{ N}, then its acceleration is: (Take g=10 m/s2g=10 \text{ m/s}^2)

A

30 m/s230 \text{ m/s}^2 downwards

B

4 m/s24 \text{ m/s}^2 upwards

C

4 m/s24 \text{ m/s}^2 downwards

D

14 m/s214 \text{ m/s}^2 upwards

Step-by-Step Solution

  1. Identify Forces: The forces acting on the lift are the tension TT (acting upwards) and the weight mgmg (acting downwards).
  2. Compare Forces:
  • Upward force T=28000 NT = 28000 \text{ N}.
  • Downward force W=mg=2000×10=20000 NW = mg = 2000 \times 10 = 20000 \text{ N}.
  • Since T>mgT > mg, the net force is directed upwards, meaning the lift accelerates upwards.
  1. Apply Newton's Second Law: The net force FnetF_{net} equals mass times acceleration (mama). Fnet=Tmg=maF_{net} = T - mg = ma
  2. Calculation: 2800020000=2000×a28000 - 20000 = 2000 \times a 8000=2000×a8000 = 2000 \times a a=80002000=4 m/s2a = \frac{8000}{2000} = 4 \text{ m/s}^2 (Reference: NCERT Class 11, Physics Part I, Chapter 5: Laws of Motion, Section 5.5).

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from LAWS OF MOTION. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSLAWS OF MOTIONtensionsupportingacceleration

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