Question

use the information and table to answer the following question. four objects of the same mass are acted on by various forces as shown in the data table. what is the correct order of acceleration from greatest to least? a 3, 2, 1, 4 because the acceleration depends indirectly (inverse) on the force applied. b 4, 1, 2, 3 because the acceleration depends directly on the force applied. c 3, 2, 1, 4 because the acceleration depends directly on the force applied. d 4, 1, 2, 3 because the acceleration depends indirectly (inverse) on the force applied.

Explanation:

Step1: Recall Newton's second law

According to Newton's second - law $F = ma$ (where $F$ is force, $m$ is mass and $a$ is acceleration), for objects of the same mass, $a=\frac{F}{m}$, so acceleration is directly proportional to the force applied.

Step2: Arrange forces from greatest to least

The forces are $25N>20N > 10N>5N$. Since acceleration is directly proportional to the force when mass is constant, the order of acceleration from greatest to least is the same as the order of the forces from greatest to least. The order of the objects based on the forces is 3, 2, 1, 4.

Answer:

C. 3, 2, 1, 4 because the acceleration depends directly on the force applied.