Analyzing Kinetic Energy and Mass Relationship
What is the relationship between kinetic energy and mass when an object has a speed of 9m/s and kinetic energy of 324 J?
Answer:
If an object has a kinetic energy of 324 J and a speed of 9m/s, the mass of the object is 8 kilograms.
Explanation:
When calculating the kinetic energy of an object, we use the formula:
KE = 0.5 * m * v^2
Where KE is the kinetic energy, m is the mass of the object, and v is the velocity or speed of the object.
Given that the kinetic energy is 324 J and the speed is 9m/s, we can substitute these values into the formula:
324 = 0.5 * m * 9^2
Solving for mass:
m = 324 / (0.5 * 81)
m = 324 / 40.5
m = 8 kg
Therefore, the mass of the object moving at 9m/s with a kinetic energy of 324 J is 8 kilograms.