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Work has the same unit as that of _______.
Question

Work has the same unit as that of _______.

A.

force

B.

energy

C.

acceleration

D.

momentum

Correct option is B

The correct answer is (b) Energy

Explanation:

  • Work is defined as the product of force and displacement in the direction of force:
    Work (W) = Force (F) × Displacement (d) × cosθ
  • The SI unit of work is Joule (J), which is the same as that of energy.
  • Energy is the capacity to do work, and it is also measured in Joules (J).
  • Thus, work and energy have the same unit, making option B the correct choice.

Information Booster:

  • 1 Joule of Work: When a force of 1 Newton moves an object 1 meter in the direction of force, 1 Joule of work is done.
  • Types of Energy:

o   Kinetic Energy (KE) = (1/2) mv²

o   Potential Energy (PE) = mgh

o   Mechanical Energy = KE + PE

  • Law of Conservation of Energy: Energy can neither be created nor destroyed; it only transforms from one form to another.

Additional Knowledge:

Force

  • SI unit = Newton (N)
  • F = m × a (Force = mass × acceleration)

Acceleration:

  • SI unit = m/s²
  • a = (vu)t\frac{(v-u)}{t}

Momentum :

  • SI unit = kg·m/s
  • Momentum = mass × velocity (p = m × v)

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