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?
a. 6.8 m/s^2
b. 2.24 m/s^2
c. 1.21 m/s^2
d. 1.67 m/s^2
The formula to solve for velocity is:
Kinetic Energy = (1/2) * mass * velocity^2
Given that the object has a kinetic energy of 25 J and a mass of 34 kg, we can rearrange the formula to solve for velocity:
25 J = (1/2) * 34 kg * velocity^2
Dividing both sides of the equation by (1/2) * 34 kg:
velocity^2 = (25 J) / [(1/2) * 34 kg]
Simplifying the right side of the equation:
velocity^2 = (50 J) / 34 kg
Taking the square root of both sides of the equation to solve for velocity:
velocity = √[(50 J) / 34 kg]
Using a calculator, the approximate value for velocity is 1.67 m/s.
Therefore, the correct option is:
d. 1.67 m/s