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.
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
1 answer
1 answer