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

`1 /2 mv^(2) =mgh`

Step-by-step 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`