Use the spreadsheet below to answer the question.

A student uses a spreadsheet application to create a computational model of energy changes experienced by an object in free fall.

Which formula could the student have entered into cell E2 of the spreadsheet?

(1 point)
Responses

=0.5*9.8*C2^2
=0.5*9.8*C2^2

=$B$2-9.8*C2
=$B$2-9.8*C2

=0.5*$B$3*E2^2
=0.5*$B$3*E2^2

=$B$3*9.8*D2

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
18 days ago

To determine which formula could have been entered into cell E2 of the spreadsheet related to the energy changes experienced by an object in free fall, we need to analyze each response based on typical equations involved in free-fall physics:

1. **=0.5*9.8*C2^2**: This formula calculates the potential energy (or kinetic energy, depending on the context) using the formula for kinetic energy (\(KE = 0.5 * m * v^2\)). If C2 represents the time or height of fall, this could be a viable formula for kinetic energy but assumes 9.8 is the acceleration due to gravity (m/sĀ²) multiplied by \(C2\), which is not standard in this context.

2. **=$B$2-9.8*C2**: This formula seems to calculate a change in height or energy relative to time, but it doesn't correspond to common energy equations in free fall.

3. **=0.5*$B$3*E2^2**: This looks like a formula that would try to calculate kinetic energy based on the value in E2 (which we are trying to find). However, it references itself, which typically results in a circular reference and is not applicable for direct calculation.

4. **=$B$3*9.8*D2**: This formula could represent the force or weight being calculated. If $B$3 were mass, D2 might represent height (or time). However, it does not clearly represent energy changes experienced by the object in free fall.

Among these options, the formula **=0.5*9.8*C2^2** is the most plausible as it relates to kinetic energy where 9.8 represents the acceleration due to gravity, and \(C2\) could represent the time squared or height related to that energy calculation. Therefore, the best choice is:

**=0.5*9.8*C2^2**.