Use the data table to answer the question. It shows the acceleration of a body when a net force is applied to it.
Net force (N) Mass (kg) Acceleration (m/s2)
5.0 5.0 1.0
10.0 5.0 2.0
20.0 5.0
Which value would complete the last cell?
(1 point)
Responses
25.0
25.0
100.0
100.0
4.0
4.0
3.0
The value that would complete the last cell is 4.0.
To find the missing value in the last cell, we can use the formula:
Acceleration = Net force / Mass
Given that the net force is 20.0 N and the mass is 5.0 kg, we can substitute these values into the formula:
Acceleration = 20.0 N / 5.0 kg
Simplifying, we find:
Acceleration = 4.0 m/s²
Therefore, the value that would complete the last cell is 4.0.
To answer the question, we need to analyze the given data table.
The table shows the relationship between the net force applied to a body, its mass, and the resulting acceleration. We can observe that as the net force increases, the acceleration also increases, while the mass remains constant at 5.0 kg.
For the last row of the table, we need to find the value of acceleration when the net force is 20.0 N. Since the previous row shows that a net force of 10.0 N resulted in an acceleration of 2.0 m/s^2, we can infer that increasing the net force by a factor of 2 will also increase the acceleration by the same factor.
Therefore, to fill in the last cell, we need to multiply the acceleration of the previous row (2.0 m/s^2) by the factor by which the net force increased (20.0 N / 10.0 N = 2).
Calculating 2.0 m/s^2 * 2, we find that the missing value for the last cell is 4.0 m/s^2.
So, the correct answer is 4.0.