Question

The velocity graphs pictured above represents the motion of $5$ different colored objects of the identical mass, with the color of the graph corresponding to the color of the object. What is the order of the objects, according to the magnitude of the net forces they are experiencing during the time represented by their graph, greatest first?

• A. blue, purple, red, yellow, green
• B. purple, red, yellow, blue and green
• C. blue and green tie, yellow, purple, red
• D. purple, red, blue, yellow, green
• E. yellow, red, purple, blue and green

Answer 1

The correct option is E yellow, red, purple, blue and green

The force acting on an object is given by $F=ma=m\frac{dv}{dt}$

Hence $F\propto$ slope of the curve v-t.

The slope is maximum in magnitude for yellow, followed by red, purple , blue and green.

Hence this is the order of magnitude forces acting on objects.

The direction of force acting on yellow, though, is opposite of that on others.