determine whether the following equations are dimensionally correct if not how can you make them dimensionally correct 1 /2 mv2

Question

Vlad1618 [11]

3 years ago

14

determine whether the following equations are dimensionally correct if not how can you make them dimensionally correct 1 /2 mv2

=(mgh) 2

Physics

1 answer:

serg [7] · Answer 1 · 2022-01-18T10:34:48+03:00

Answer:

$1 /2 mv^{2} =mgh$

Explanation:

The correct equation follows the law of conservation of energy where kinetic energy is all transformed to potential energy, since we know that kinetic energy is expressed as

$1 /2 mv^{2}$ while potential energy is mgh where m is the mass of the object, v is the velocity or speed of the object, g is acceleration due to gravity and h is the vertical height. Therefore, relating the two equations we should have $1 /2 mv^{2} =mgh$