You drag a backpack horizontally along the floor with force F, as shown. There i

Question

You drag a backpack horizontally along the floor with force F, as shown. There is a coefficient of kinetic friction mu_k with the floor. The pack moves with a steady speed horizontally. The magnitude of the normal force exerted by the floor is N= mg mg - F cos theta mg + F cos theta mg - F sin theta none of these You suddenly double the force F applied to the pack in the previous problem, keeping theta fixed. Which of the following best describes the subsequent motion? (You may assume the new force is not large enough to lift the pack up off the ground.) The pack still moves at the same constant velocity. The pack suddenly moves at twice the steady speed it had before. The pack suddenly moves with four times the steady speed it had before. The pack accelerates smoothly up to exactly twice the speed it had before, after which it stays steady at this new speed. The pack accelerates to the right with constant acceleration.

Explanation / Answer

6. N + Fsin(theta) = mg
D) N = mg - Fsin(theta)

7. Now, firction = Fcos(theta) -- (for constant velocity)
now, new force = 2F
so 2F - friction = ma
a = 2F - Fcos(theta_) = constant --> option E

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