How fast is a 5-kilogram object moving if its kinetic energy is 101.25 joules?
Biology · Middle School · Mon Jan 18 2021
Answered on
To determine the speed of an object from its kinetic energy, you can use the kinetic energy formula, which is:
\[ KE = \frac{1}{2}mv^2 \]
Where: - KE is the kinetic energy (in joules) - m is the mass of the object (in kilograms) - v is the velocity (or speed) of the object (in meters per second)
Given that the kinetic energy (KE) is 101.25 joules and the mass (m) is 5 kilograms, you can rearrange the formula to solve for the velocity (v):
\[ v^2 = \frac{2 \cdot KE}{m} \] \[ v^2 = \frac{2 \cdot 101.25}{5} \] \[ v^2 = \frac{202.5}{5} \] \[ v^2 = 40.5 \] \[ v = \sqrt{40.5} \] \[ v \approx 6.36 \, \text{m/s} \]
So, the object is moving at approximately 6.36 meters per second.