Physics: Kinetic energy (k) has dimension kg m2/s2. it can be written in terms of the momentum (p) and mass (m) as k = p^2 / 2m. determine the proper units for momentum using dimensional analysis.

Kinetic energy (k) has dimension kg m2/s2. it can

armahoney8566

17.01.2022

Answer : The units for momentum is, kg.m/s

Explanation : Given,

Dimension of Kinetic Energy (K) = kg.m^2/s^2

Dimension of mass (m) = kg

The relation between kinetic energy and momentum will be:

$K=\frac{p^2}{2m}\\\\p=\sqrt{2mK}$

Now put all the dimension in this expression, we get:

$p=\sqrt{2mK}$

$p=\sqrt{kg\times kg.m^2/s^2}$

$p=\sqrt{kg^2m^2/s^2}$

p=kg.m/s

The dimensional formula of Kinetic Energy = $ML^2T^{-2}$

The dimensional formula of momentum = $MLT^{-1}$

Thus, the units for momentum is, kg.m/s

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spencertodd742

13.09.2020

kinetic energy

The kinetic energy is maximum at the bottom of the swing, where the gravity potential energy is minimum.

Explanation:

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