The kinetic energy of an object is described with the formula k=1/2mxv^2 where K is the kinetic energy of the object in joules (J), m is the mass of the object in kilograms (kg), and v is the velocity of the object in meters per second. What is the velocity of an object with a kinetic energy of 375 J and a mass of 50 kg?
square root 15 meters per second
15 meters per second
square root 60 meters per second
60 meters per second
To find the velocity (v) of the object given its kinetic energy (K) and mass (m), we can rearrange the formula for kinetic energy:
\[ K = \frac{1}{2}mv^2 \]
Solving for \( v \), we get:
\[ v = \sqrt{\frac{2K}{m}} \]
Now, let's plug in the values given in the problem:
\[ K = 375 \text{ J} \]
\[ m = 50 \text{ kg} \]
\[ v = \sqrt{\frac{2 \cdot 375}{50}} \]
\[ v = \sqrt{\frac{750}{50}} \]
\[ v = \sqrt{15} \]
Therefore, the velocity of the object is the square root of 15 meters per second.