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Laws of Motion question

2023 · 29 Jan · Shift 2 · Q46
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  5. /2023 · 29 Jan · Shift 2 · Q46

Laws of Motion question

2023 · 29 Jan · Shift 2 · Q46

JEE MainPhysicsLaws of MotionMCQ+4 / −1
A force acts for 20 s on a body of mass 20 kg, starting from rest, after which the force ceases and then body describes 50 m in the next 10 s. The value of force will be:
  1. A
    40 N
  2. B
    20 N
  3. C
    5 N
  4. D
    10 N
View written solutionFree

Correct answer: C

  1. Motion after the force ceases

    After the force stops acting, no force acts on the body, so it moves with constant velocity.

    It covers 50 m50\,\text{m}50m in the next 10 s10\,\text{s}10s, so its velocity at the moment the force ceased was

    v=5010=5 m/sv = \frac{50}{10} = 5\,\text{m/s}v=1050​=5m/s

  2. Motion during the first 20 s

    The body starts from rest, so

    u=0u = 0u=0

    The force acts for 20 s20\,\text{s}20s, producing acceleration aaa. Hence,

    v=u+atv = u + atv=u+at

    5=0+a(20)5 = 0 + a(20)5=0+a(20)

    a=520=0.25 m/s2a = \frac{5}{20} = 0.25\,\text{m/s}^2a=205​=0.25m/s2

  3. Use Newton's second law

    F=maF = maF=ma

    Given mass m=20 kgm = 20\,\text{kg}m=20kg,

    F=20×0.25=5 NF = 20 \times 0.25 = 5\,\text{N}F=20×0.25=5N

  4. Check options

    • A: 40 N40\,\text{N}40N ❌
    • B: 20 N20\,\text{N}20N ❌
    • C: 5 N5\,\text{N}5N ✅
    • D: 10 N10\,\text{N}10N ❌

Therefore, the correct answer is Option C.

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