Question

a 100.0 - kilogram boy and a 50.0 - kilogram girl, each holding a spring scale, pull against each other as shown in the diagram below. the graph below shows the relationship between the magnitude of the force that the boy applies on his spring scale and time. which graph best represents the relationship between the magnitude of the force that the girl applies on her spring scale and time?

Explanation:

Step1: Recall Newton's Third Law

Newton's Third Law states that for every action, there is an equal and opposite reaction. In this case, the force the boy exerts on the spring scale is equal in magnitude to the force the girl exerts on her spring scale at every instant.

Step2: Analyze the boy's force - time graph

The boy's force - time graph is a straight - line passing through the origin (a linear relationship \(F = kt\), where \(k\) is the slope). Since \(F_{girl}=F_{boy}\) at all times \(t\), the girl's force - time graph should also be a straight - line passing through the origin with the same slope.

Answer:

(1)