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?
A) the total kinetic energy cannot be determined
B) the total kinetic energy remains the same
C) the total kinetic energy increases
D) the total kinetic energy decreases
I got the first question right but failed the rest lol... Anywho! Here are the answers.
1. The velocity decreases and the kinetic energy decreases.
2. An increase in temperature difference between the inside and outside of the building.
3. The total kinetic energy remains the same.
4. 76.761 J
5. The energy loss must increase.
Taking the bullet, be back with the answers.
The total kinetic energy of a cannon and cannonball system is dependent on the mass and velocity of the objects. Given that the energy of the blast remains the same, the change in mass of the cannon will not affect the velocity of the cannonball. Therefore, the total kinetic energy of the system will remain the same.
B) the total kinetic energy remains the same
To determine how the total kinetic energy changes as the mass of the cannon increases while the energy of the blast remains the same, we need to understand the equation for kinetic energy and its relationship with mass and velocity.
The equation for kinetic energy is:
Kinetic Energy = (1/2) * mass * velocity^2
From this equation, we can see that the kinetic energy is directly proportional to the mass and the square of the velocity.
Given that the energy of the blast remains constant, the velocity of the cannon and cannonball system will also remain constant. Therefore, the only factor that will affect the total kinetic energy is the mass of the system.
As the mass of the cannon increases, the total kinetic energy also increases because the kinetic energy is directly proportional to the mass. Therefore, the correct answer is C) the total kinetic energy increases.