How does the total kinetic energy of a cannon and cannonball system change as the mass of the cannon increases and the energy of the blast remains the same?(1 point)
Responses
The total kinetic energy cannot be determined.
The total kinetic energy cannot be determined.
The total kinetic energy remains the same.
The total kinetic energy remains the same.
The total kinetic energy decreases.
The total kinetic energy decreases.
The total kinetic energy increases.
The total kinetic energy remains the same.
The total kinetic energy of a system can be calculated using the formula KE = 1/2 * m * v^2, where KE is the kinetic energy, m is the mass of the object, and v is its velocity. In this case, we can assume that the energy of the blast remains the same, which means that the cannonball will have the same velocity regardless of the mass of the cannon.
As the mass of the cannon increases, the total mass of the system also increases. However, since the velocity of the cannonball remains the same, the effect of the mass on the total kinetic energy will be minimal. Therefore, the total kinetic energy of the system will remain approximately the same.
So, in this situation, the correct response is: The total kinetic energy remains the same.