Question

the velocity, v, of an object with mass, m, and kinetic energy, $e_{k}$, is given by the equation $v = sqrt{\frac{2e_{k}}{m}}$. velocity is measured in m/s, mass is measured in kg, and kinetic energy is measured in j. eduardo wrote the equation $25=sqrt{\frac{2e_{k}}{1000}}$. 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 given formula

The formula for velocity is $v = \sqrt{\frac{2E_{k}}{m}}$. In the equation $25=\sqrt{\frac{2E_{k}}{1000}}$, we can see that $v = 25$ (since the left - hand side is the value of velocity), and $m = 1000$ (the value in the denominator under the square - root).

Step2: Determine what is being solved for

We are solving for $E_{k}$, the kinetic energy. This means we are finding the kinetic energy of an object with mass $m = 1000$ kg and velocity $v = 25$ m/s.

Answer:

A. The kinetic energy of a 1000 kg object with a velocity of 25 m/s.