Sonya is investigating kinetic energy using a bowling ball with a mass of 3 kilograms. She records her observations in the table. Which graph best shows the relationship represented in Sonya's table?
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Responses
Since the table shows the relationship between the velocity of the bowling ball and its kinetic energy, the graph that best represents this relationship would be a linear graph where the kinetic energy increases with increasing velocity.
Unfortunately, I cannot see the image you are referring to. However, I can describe the relationship between kinetic energy and mass for you.
The relationship between kinetic energy and mass is directly proportional, according to the equation:
Kinetic Energy = 0.5 * Mass * Velocity^2
In this equation, velocity plays a significant role as well, but for the purpose of this discussion, we'll focus only on the relationship between kinetic energy and mass.
Since the equation contains mass, any increase in mass will result in an increase in kinetic energy, assuming that the velocity remains constant.
Therefore, the graph that best represents the relationship between kinetic energy and mass in Sonya's table should show a positive linear relationship.
To determine the relationship represented in Sonya's table, we need to examine the data and identify the variables involved. From the given information, we know that Sonya is investigating kinetic energy using a bowling ball with a mass of 3 kilograms. However, we are not provided with the actual data or the variables being measured in the table. Therefore, we cannot accurately determine the relationship or choose the best graph without knowing the specific data points and variables.
However, in general, the relationship between kinetic energy and mass can be represented by a quadratic relationship. According to the kinetic energy formula, KE = (1/2)mv^2, where KE represents kinetic energy, m represents mass, and v represents velocity. The relationship between kinetic energy and mass is directly proportional, meaning that as the mass increases, the kinetic energy also increases. However, the relationship is not linear, but rather quadratic because it involves the square of the velocity.
To create a graph representing the relationship between kinetic energy and mass, you would typically plot the mass on the x-axis and the kinetic energy on the y-axis. The resulting graph would depend on the specific data points and variables obtained during Sonya's investigation.
Therefore, without additional information about the specific data in Sonya's table, it is not possible to determine the relationship or choose the best graph. It is essential to have access to the actual table and its variables to provide a more accurate answer.