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Laws of Motion question

2024 · 5 Apr · Shift 2 · Q66
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  5. /2024 · 5 Apr · Shift 2 · Q66

Laws of Motion question

2024 · 5 Apr · Shift 2 · Q66

JEE MainPhysicsLaws of MotionMCQ+4 / −1
A heavy box of mass 50 kg50 \mathrm{~kg}50 kg is moving on a horizontal surface. If co-efficient of kinetic friction between the box and horizontal surface is 0.3 then force of kinetic friction is :
  1. A
    1470 N
  2. B
    147 N
  3. C
    1.47 N
  4. D
    14.7 N
View written solutionFree

Correct answer: B

  1. Given data

    • Mass of box: m=50 kgm = 50\,\text{kg}m=50kg
    • Coefficient of kinetic friction: μk=0.3\mu_k = 0.3μk​=0.3
    • Surface is horizontal
  2. Formula for kinetic friction On a horizontal surface, the kinetic friction is fk=μkNf_k = \mu_k Nfk​=μk​N where NNN is the normal reaction.

  3. Find normal reaction Since the surface is horizontal and no other vertical forces are mentioned, N=mgN = mgN=mg Taking g=9.8 m/s2g = 9.8\,\text{m/s}^2g=9.8m/s2, N=50×9.8=490 NN = 50 \times 9.8 = 490\,\text{N}N=50×9.8=490N

  4. Calculate kinetic friction fk=0.3×490=147 Nf_k = 0.3 \times 490 = 147\,\text{N}fk​=0.3×490=147N

  5. Match with options

    • A: 1470 N1470\,\text{N}1470N
    • B: 147 N147\,\text{N}147N
    • C: 1.47 N1.47\,\text{N}1.47N
    • D: 14.7 N14.7\,\text{N}14.7N

    Therefore, the correct option is B.

  6. Verification with stored answer Stored correct answer: B

    My derived answer also gives B.

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