Question

determine whether the following equations are dimensionally correct if not how can you make them dimensionally correct 1 /2 mv2 =(mgh) 2​

Answer 1

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