An object of mass 'm' is being moved with a constant velocity under the action of an applied force of 2 N along a frictionless surface with following surface profile.
The correct applied force vs distance graph will be:
(A)(see structure)✓ Correct
(B)(see structure)
(C)(see structure)
(D)(see structure)
Answer: (A)
Solution
Constant velocity on a frictionless surface means zero net force, so the applied force balances the along-track component of gravity at every point. On the ascending slope the component mgsinθ=2N acts backward, so the applied force is +2N. On the descending slope this component acts forward, so the applied force reverses to −2N. The applied force is +2N over the first half of the horizontal span and −2N over the second half, with equal step widths.
JEE Main · 2021 · 01 Sep 2021 · Shift 2 · Single correct option