Question

multiple choice question
a spring scale was used to apply forces to an object. the velocity of the object
and the time were recorded and a graph was generated. which statement must
be correct for the forces that generated this graph?
o there is no way to draw a valid conclusion about the applied forces
from this graph.
o the forces were constant.
o the forces increased over time.
o the forces decreased over time.

Explanation:

Step1: Recall the relationship between force, mass and acceleration

Newton's second law is \(F = ma\), where \(F\) is force, \(m\) is mass and \(a\) is acceleration.

Step2: Analyze the velocity - time graph

The slope of a velocity - time graph gives the acceleration. In the given graph, the slope (acceleration) is constant for each line (since each line is straight).

Step3: Determine the nature of force

Since \(F=ma\) and mass \(m\) of the object is constant (assuming the object's mass does not change), if \(a\) (slope of \(v - t\) graph) is constant, then \(F\) (force) is also constant.

Answer:

The forces were constant.