An object of mass 'm' is being moved with a constant velocity under… | JEE Main 2021 (1 Sep, Shift 2)

Q21JEE Main 2021 · 1 SEP · SHIFT 2Medium

Inertia, First & Second Laws

An object of mass 'm' is being moved with a constant velocity under the action of an applied force of 2N along a frictionless surface with following surface profile.

The correct applied force vs distance graph will be:

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Answer: (c)

Constant velocity on a frictionless incline: applied force balances $mg\sin\theta$ , so it always points up the slope with magnitude 2 N.
Going up the left face (first $D/2$ ), the force is along the motion: $F = +2\text{ N}$ .
Going down the right face (next $D/2$ ), the force still points up the slope, i.e. against the motion: $F = -2\text{ N}$ .
So the graph is a +2 N step then a −2 N step. The answer is (c).

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