In a closed system of a cannon and cannonball, which changes would both result in an increase in the kinetic energy of the cannonball when fired from the cannon?(1 point)
Increasing the mass of the cannonball or increasing the velocity of the cannonball when fired from the cannon would both result in an increase in the kinetic energy of the cannonball.
There are a few changes that can result in an increase in the kinetic energy of the cannonball when fired from the cannon in a closed system:
1. Increase the mass of the cannonball: Increasing the mass of the cannonball will increase its kinetic energy. This can be achieved by using a larger or denser cannonball.
2. Increase the velocity of the cannonball: Increasing the velocity of the cannonball will also increase its kinetic energy. This can be done by providing a higher initial pressure or longer barrel length to accelerate the cannonball.
3. Reduce the friction: Minimizing friction between the cannonball and the barrel will result in a more efficient transfer of energy and therefore increase the kinetic energy of the cannonball. This can be achieved by using lubricants or ensuring a smooth barrel surface.
4. Improve the propellant: Using a more powerful propellant such as a higher-grade gunpowder can increase the energy released during the combustion process, leading to an increase in the kinetic energy of the cannonball.
It is important to note that all changes should be made within the limitations and safety considerations of the cannon and its intended use.
To determine the changes that would result in an increase in the kinetic energy of the cannonball when fired from the cannon, we need to understand the factors that affect kinetic energy.
The formula for kinetic energy is given by:
Kinetic Energy (KE) = 1/2 * mass * velocity^2
There are two variables in this equation: mass and velocity. To increase the kinetic energy, we need to increase either the mass or the velocity of the cannonball. Here are the changes that would result in an increase in kinetic energy:
1. Increase the mass of the cannonball: If the mass of the cannonball is increased, the kinetic energy will also increase. This can be achieved by using a heavier cannonball.
2. Increase the velocity of the cannonball: Velocity has a squared relationship with kinetic energy. So, even a small increase in velocity can result in a significant increase in kinetic energy. This can be achieved by increasing the force applied to the cannonball or reducing the resistance inside the cannon.
However, it's important to note that in a closed system, where no external forces are acting on the cannon and cannonball, the law of conservation of momentum applies. According to this law, the momentum before the cannonball is fired should be equal to the momentum after it is fired. So, any increase in the kinetic energy of the cannonball would correspondingly result in a decrease in the kinetic energy of the cannon itself.
Therefore, the changes that would result in an increase in the kinetic energy of the cannonball when fired from the cannon are increasing the mass of the cannonball or increasing its velocity, while keeping in mind the conservation of momentum in a closed system.