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Work Power and Energy question

2023 · 24 Jan · Shift 1 · Q70
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Work Power and Energy question

2023 · 24 Jan · Shift 1 · Q70

JEE MainPhysicsWork Power and EnergyNumerical+4 / −1
A spherical body of mass 2 kg starting from rest acquires a kinetic energy of 10000 J at the end of 5th\mathrm{5^{th}}5th second. The force acted on the body is ‾\underline{\hspace{2cm}}​ N.
Numerical answer
View written solutionFree

Correct answer: 40

  1. Given data

    • Mass of body: m=2 kgm = 2\,\text{kg}m=2kg
    • Starts from rest: u=0u = 0u=0
    • Kinetic energy at the end of 5th5^{\text{th}}5th second: K=10000 JK = 10000\,\text{J}K=10000J
  2. Use kinetic energy formula K=12mv2K = \frac{1}{2}mv^2K=21​mv2 Substituting the values: 10000=12(2)v210000 = \frac{1}{2}(2)v^210000=21​(2)v2 10000=v210000 = v^210000=v2 v=100 m/sv = 100\,\text{m/s}v=100m/s

  3. Find acceleration Since the body starts from rest and reaches v=100 m/sv=100\,\text{m/s}v=100m/s in t=5 st=5\,\text{s}t=5s, v=u+atv = u + atv=u+at 100=0+a(5)100 = 0 + a(5)100=0+a(5) a=20 m/s2a = 20\,\text{m/s}^2a=20m/s2

  4. Find force Using Newton's second law, F=maF = maF=ma F=2×20=40 NF = 2 \times 20 = 40\,\text{N}F=2×20=40N

  5. Final answer The force acting on the body is: 40 N\boxed{40\,\text{N}}40N​

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