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NTA Abhyas JEE Main2020PhysicsWork, Power and EnergyPractice

A body of mass m accelerates uniformly from rest to v 1 in time t 1 . The instantaneous power delivered to the body as a function of the t is

Options

  1. Am ⁡ ν 1 t ⁡ t ⁡ 1
  2. Bm ⁡ ν 1 2 t ⁡ t ⁡ 1 2
  3. Cm ⁡ ν 1 t ⁡ 2 t ⁡ 1
  4. Dm ⁡ ν 1 2 t ⁡ t ⁡ 1

Correct answer

B. m ⁡ ν 1 2 t ⁡ t ⁡ 1 2

Step-by-step solution

Acceleration a = ν 1 t ⁡ 1 ∴ Velocity ( ν ) = 0 + a t ⁡ = ν 1 t ⁡ 1 t ⁡ Power P ⁡ = Force × velocity = m ⁡ a ν or P ⁡ = m ⁡ ( ν 1 t ⁡ 1 ) × ( ν 1 t ⁡ t ⁡ 1 ) = m ⁡ ν 1 2 t ⁡ t ⁡ 1 2

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