the equation k = 1/2 mv² represents the energ...

the equation k = 1/2 mv² 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 = k / 2v². after attempting to determine the mass of a few objects, lashandra realizes there must be something wrong with her formula. what is lashandras error? she should have multiplied by 2 instead of dividing by 2. she should have multiplied by 1/2 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

# Explanation: ## Step1: Start with kinetic - energy formula $K=\frac{1}{2}mv^{2}$ ## Step2: Isolate $m$ Multiply both sides by 2 to get $2K = mv^{2}$. Then divide both sides by $v^{2}$: $m=\frac{2K}{v^{2}}$. ## Step3: Analyze Lashandra's work Lashandra got $m=\frac{K}{2v^{2}}$. Her error was that she should have multiplied by 2 instead of dividing by 2 when isolating $m$. # Answer: She should have multiplied by 2 instead of dividing by 2.