Use the computational model of a cannon and cannonball shown to answer the question below.

If the mass of the cannonball increases, and all other initial conditions stay the same, what would happen to the velocity and kinetic energy of the cannonball?

A. The velocity decreases, and the kinetic energy decreases.
B. The velocity decreases, and the kinetic energy increases.
C. The velocity increases, and the kinetic energy decreases.
D. The velocity increases, and the kinetic energy increases.

Use the computational model of a cannon and cannonball shown to answer the question below If the mass of the cannonball increases and all other initial conditio class=

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Answer:

It would be option B.

Explanation:

Option B. is the right answer because as the mass of the canon increases the kinetic energy will increase as well, but the will decrease due to its greater mass.

If the mass of the cannonball increases, and all other initial conditions stay the same,  the velocity decreases, and the kinetic energy increases.

The kinetic energy of an object is the energy possessed by the object due to its motion.

[tex]K.E = \frac{1}{2} mv^2[/tex]

where;

  • m is the mass of the object
  • v is the velocity of the object
  • K.E is the kinetic energy of the object

When the mass increases, the kinetic energy will increase.

[tex]v^2 = \frac{2K.E }{m}\\\\v=\sqrt{\frac{2K.E }{m}}[/tex]

when the mass increases, the velocity of the cannonball will decrease.

Thus, we can conclude that if the mass of the cannonball increases, and all other initial conditions stay the same,  the velocity decreases, and the kinetic energy increases.

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