Respuesta :

Given:

The mass of the ball is: m = 3.15 kg

The velocity of the ball is: v = 2.5 m/s

To find:

The kinetic energy of the ball.

Explanation:

The kinetic energy is the energy that a particle has when is is in motion. For the particle of mass m moving with velocity v, the kinetic energy KE is given as:

[tex]KE=\frac{1}{2}mv^2[/tex]

Substitute the values in the above expression, we get:

[tex]\begin{gathered} KE=\frac{1}{2}\times3.15\text{ kg}\times(2.5\text{ m/s\rparen}^2 \\ \\ KE=\frac{1}{2}\times3.15\text{ kg}\times6.25\text{ m}^2\text{/s}^2 \\ \\ KE=9.84\text{ kg.m}^2\text{/s}^2 \\ \\ KE=9.84\text{ J} \end{gathered}[/tex]

Final answer:

The kinetic energy of the ball is 9.84 J.