Question

If p is the momentum of an object of mass m the expression p2/m has base unit identical to energy.. How?

Answer 1

Answer:

basically it's answer is energy

Answer 2

Answer:

The unit of  $\frac{p^2}{m}$ = Joule = the unit of energy

Explanation:

• Momentum: Momentum of an object is the product of mass(m) and velocity(v). It is expressed by 'p'.

        Momentum = mass × velocity     or, p = mv

• Energy:  The formula for kinetic energy is:

         K.E = $\frac{1}{2} \times mass \times velocity^2$

         Unit of K.E = Unit of ( $\frac{1}{2} \times mass \times velocity^2$) = kg m²/s² = Joule(J)

• Unit:  The SI unit of momentum is kg m/s

        The SI unit of  $\frac{p^2}{m}$ = $\frac{The unit of p \times the unit of p}{unit of m}$

                                      = $\frac{(kg m/s)^2}{kg}$

                                      = kg m²/s² = Joule, which is the unit of Energy.

     ∴ The unit of  $\frac{p^2}{m}$ is the unit of energy.

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