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NEET PHYSICSLAWS OF MOTIONEasy

Question

A body of 5 kg5 \text{ kg} is moving with a velocity of 20 m/s20 \text{ m/s}. If a force of 100 N100 \text{ N} is applied on it for 10 sec10 \text{ sec} in the same direction as its velocity, what will now be the velocity of the body?

A

200 m/s

B

220 m/s

C

240 m/s

D

260 m/s

Step-by-Step Solution

  1. Identify Given Data: Mass m=5 kgm = 5 \text{ kg}, initial velocity u=20 m/su = 20 \text{ m/s}, Force F=100 NF = 100 \text{ N}, time t=10 st = 10 \text{ s}.
  2. Method 1: Using Newton's Second Law and Kinematics
  • Calculate acceleration using Newton's Second Law: a=Fm=1005=20 m/s2a = \frac{F}{m} = \frac{100}{5} = 20 \text{ m/s}^2 [Source 105, 126].
  • Use the first equation of motion: v=u+atv = u + at [Source 104].
  • v=20+(20×10)=20+200=220 m/sv = 20 + (20 \times 10) = 20 + 200 = 220 \text{ m/s}.
  1. Method 2: Using Impulse-Momentum Theorem
  • Impulse J=FΔt=100×10=1000 N sJ = F \Delta t = 100 \times 10 = 1000 \text{ N s}.
  • Change in momentum Δp=m(vu)\Delta p = m(v - u).
  • 1000=5(v20)    200=v20    v=220 m/s1000 = 5(v - 20) \implies 200 = v - 20 \implies v = 220 \text{ m/s} [Source 131].

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 MOTIONmovingvelocityapplieddirectionvelocity

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