A small object is at rest on one edge of a horizontal table that is 1.0 m in len

Question

   A small object is at rest on one edge of a horizontal table that is 1.0 m in length. The surface of the table is quite smooth, but friction cannot be ignored completely. The object is given a quick push to start it moving, it moves across the table, and it eventually falls off the other edge of the table after 2.0 s. Is it possible for this object to NOT have any wheels (meaning it is sliding instead of rolling)? Note that the kinetic friction coefficient between most all materials is at least 0.1. Show all calculations to prove your answer choice!

Explanation / Answer

let kinetic friction coefficient between table and object be 0.1

so frictional force = mu* mg => 0.1*mg

acceleration = 0.1* g => 0.1*9.81 => 0.981 m/s2

1 = ut - 0.5*0.981*t^2

1 = u *2 -0.5 *0.981*4

u = 1.481 m/s

velocity after 2 sec

1.481- 0.981*2

=-0.481

which means with given initial velocity and given coefficient of friction object can't travel 1 meter and will stop in between

so it can't be without wheels it must have wheels so that deaceleration is not mu*g

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