the table shows the kinetic energy of six balls rolling on the ground

Question

ball. velocity (m/s). mass(kg) kinetic energy(j)
1. 3 5 22.5
2. 3. 4 18.0
3. 3 3 13.5
4. 6. 5 90.0
5. 4 5 40.0
6. 5 5 62.5

which pair of graph is best supported by the data in the table
type answer here:

Answer 1

The data presented shows the relationship between the mass of the balls, their velocity, and their kinetic energy. Kinetic energy (KE) can be calculated using the formula:

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

where \(m\) is mass and \(v\) is velocity.

From the table, we can analyze how kinetic energy changes with varying mass and velocity:

• For balls with the same mass, kinetic energy increases with increasing velocity.
• For balls with the same velocity, kinetic energy increases with increasing mass.

Thus, the best-supported graphs based on the data in the table would likely show:

1. A graph of Kinetic Energy vs. Velocity, indicating that kinetic energy increases with the square of velocity for fixed mass.
2. A graph of Kinetic Energy vs. Mass, indicating that kinetic energy increases linearly with mass for fixed velocity.

So, the answer would be:

Kinetic Energy vs. Velocity and Kinetic Energy vs. Mass.