Final answer:
The velocity of a 200 kg object with 10000 J of kinetic energy is calculated using the formula KE = 1/2 mv². By rearranging and solving for velocity, the answer is found to be 10 m/s.
Step-by-step explanation:
To find the velocity of a 200 kg object with a kinetic energy of 10000 J, we will use the formula for translational kinetic energy, which is KE = 1/2 mv². Here, 'KE' is the kinetic energy, 'm' is the mass of the object, and 'v' is the velocity of the object. By rearranging this formula to solve for velocity, we get v = √(2KE/m).
Plugging in the given values, we calculate the velocity as follows:
- KE = 10000 J
- m = 200 kg
- v = √(2 × 10000 J / 200 kg)
- v = √(100 J/kg)
- v = 10 m/s
Therefore, the velocity of the 200 kg object is 10 m/s.