  A bin is given a push across a horizontal surface. The bin has a mass m, the push gives it an initial speed of 2.50 m/s, and the coefficient of kinetic friction between the bin and the surface is 0.150.(a)Use energy considerations to find the distance (in m) the bin moves before it stops.(b)What If? Determine the stopping distance (in m) for the bin if its initial speed is doubled to 5.00 m/s.

Question

A bin is given a push across a horizontal surface. The bin has a mass m, the push gives it an initial speed of 2.50 m/s, and the coefficient of kinetic friction between the bin and the surface is 0.150.

(a)Use energy considerations to find the distance (in m) the bin moves before it stops.
(b)What If? Determine the stopping distance (in m) for the bin if its initial speed is doubled to 5.00 m/s.
Step 1

Given; Initial speed, v = 2.50 m/s

Coefficient of kinetic friction = 0.150

Find: (a) Distance the bin moves before it stops

(b) The stopping distance for bin if its initial speed is doubled to 5 m/s

Step 2

From work-energy theorem, the kinetic energy of body is lost in work done against friction. That is:

Step 3

(b) If initial speee is doubled, v = 5 m/...

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