Using the provided formula, solve for velocity.
An object has a kinetic energy of 25 J and a mass of 34 kg, how fast is the object moving?
The formula to solve for velocity is:
Kinetic Energy (KE) = 1/2 * mass * velocity^2
Given:
Kinetic Energy (KE) = 25 J
Mass (m) = 34 kg
We need to solve for velocity:
25 J = 1/2 * 34 kg * velocity^2
To isolate velocity^2, we can multiply both sides by 2:
2 * 25 J = 34 kg * velocity^2
50 J = 34 kg * velocity^2
Now, we divide both sides by 34 kg:
50 J / 34 kg = velocity^2
Simplifying:
1.47 J/kg = velocity^2
Finally, we take the square root of both sides to find the velocity:
velocity = √(1.47 J/kg)
velocity ≈ 1.21 m/s
Therefore, the object is moving at approximately 1.21 m/s.