Question

Two students both kick a soccer ball. Havanna's ball travels three times as fast at Mitzi's ball. How does the kinetic energy of the two soccer balls compare?

Answer 1

The kinetic energy of Havanna's ball is 9 times the kinetic energy of Mitzi's ball.

Step-by-step explanation:

Let the velocity of Mitzi's ball = v₁

then, the velocity of Havanna's ball = 3v₁

Kinetic energy is given as;

K.E = ¹/₂mv²

Where;

m is mass of the object

v is velocity of the object

Kinetic energy of Mitzi's ball is given by;

K.E(m) = ¹/₂mv₁²

kinetic energy of Havanna's ball is given by;

K.E(H) = ¹/₂m(3v₁)²

K.E(H) = ¹/₂m x 9v₁²

K.E(H) = 9(¹/₂mv₁²)

K.E(H) = 9(K.E(m) )

Therefore, the kinetic energy of Havanna's ball is 9 times the kinetic energy of Mitzi's ball.