https://file.aiquickdraw.com/mathbot/file/1726089238767qn999s6g.jpg

To solve the problem from the image:

Given:
- Mass of the ball \( M = 3.25 \, \text{kg} \)
- Speed \( v = 21.5 \, \text{m/s} \)

The formula for kinetic energy \( E_k \) is:

\[
E_k = \frac{1}{2} M v^2
\]

Now, let’s calculate the kinetic energy.

\[
E_k = \frac{1}{2} \times 3.25 \, \text{kg} \times (21.5 \, \text{m/s})^2
\]

I’ll compute the result for you now.The kinetic energy of the ball is \( 751.16 \, \text{J} \) (Joules).

Would you like further details or have any questions?

Here are 5 related questions to expand on this concept:

1. How would the kinetic energy change if the speed of the ball doubled?
2. What is the relationship between mass and kinetic energy when velocity is constant?
3. How is kinetic energy different from potential energy?
4. What would the kinetic energy be if the mass was halved but the speed remained the same?
5. How do we calculate the total mechanical energy of a system involving both kinetic and potential energy?

**Tip:** Kinetic energy is proportional to the square of velocity, meaning a small change in speed results in a much larger change in energy.

A ball has a mass of M = 3.25 kg and has a speed of 21.5 m/s. What is the kinetic energy of the ball? (Use E = (1/2) x mv^2)

Learn how to calculate the kinetic energy of a ball with a mass of 3.25 kg moving at a speed of 21.5 m/s. Using the formula E = (1/2) M v^2, find the energy in joules. Suitable for students in Grades 9-10 studying classical mechanics.

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