Question

The equation K = StartFraction one-half EndFractionmv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the object, m, and the velocity of the object, v. Lashandra is given K and v for 10 different objects. In order to make solving more efficient, she solves the equation for m : m = m equals StartFraction K Over 2 v squared EndFraction..

After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula.

What is Lashandra’s error?

She should have multiplied by 2 instead of dividing by 2.
She should have multiplied by K equals StartFraction one-half EndFraction m v squared. instead of dividing by 2.
She should have used the square root to move the squared term to the other side of the equation.
She should have squared the K when moving the v2 to the other side of the equation.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Lashandra's error is that she should have multiplied by 2 instead of dividing by 2. The correct formula for solving for mass should be m = 2K/v^2.