Question

the velocity, v, of an object with mass, m, and kinetic energy, eₖ, is given by the equation v = √(2eₖ/m). velocity is measured in m/s, mass is measured in kg, and kinetic energy is measured in j. eduardo wrote the equation 25 = √(2eₖ/1000). what was he trying to find? a. the kinetic energy of a 1000 kg object with a velocity of 25 m/s. b. the kinetic energy of a 25 kg object with a velocity of 1000 m/s. c. the mass of an object with a velocity of 25 m/s and 1000 j of kinetic energy. d. the mass of an object with a velocity of 1000 m/s and 25 j of kinetic energy.

Explanation:

Step1: Analyze the kinetic - energy formula

The formula for kinetic energy is $E_k=\frac{1}{2}mv^{2}$, and the formula for velocity is $v = \sqrt{\frac{2E_k}{m}}$. Eduardo's equation $25=\sqrt{\frac{2E_k}{1000}}$ is in the form of the velocity formula $v=\sqrt{\frac{2E_k}{m}}$, where $v = 25$, $m = 1000$.

Step2: Determine what he was trying to find

Since the equation is in the form of the velocity - finding formula and the left - hand side is a value representing velocity, he was trying to find the velocity of an object with mass $m = 1000$ kg and kinetic energy $E_k$.

Answer:

The velocity of an object with a mass of 1000 kg and kinetic energy $E_k$.