For the rolling cart shown below the following information is available. Find ho

Question

For the rolling cart shown below the following information is available. Find how far would the block go before it stops due to friction. -initial velocity. v_0 = 195 ft/sec -Weight, W = 57 lb (weight) -Slope has an angle - 23 deg -doling Resistance 4.6 Ib A pared chute in the post office is 2.53 m high and 6 m long, and discharges the parcels onto a level platform. If the coefficient of kinetic friction is 0.21, determine the distance traveled by the parcel on the level platform (Assume that the parcel has negligible velocity at the top of the chute.)

Explanation / Answer

Given

   weight W = 57 lb

   initial velocity is v0 = 195 ft/s

   slope angle theta = 23 degrees

   frictional force = 4.6 lb

height at which the crate is h = 2.53 m
   coefficient of kinetic friction is mue_k = 0.21

distance traelled by the parcel on the level platform

   here the work done by the frictional force = change in kinetic energy

   mue_k *mg*cos theta*s = 0.5*m(v^2-v0^2)

weight of the parcel is = 57 lb , mass of the parcel m = 57 /32.2 = 57 /32.2 = 1.7702

  
   0.21*57*cos 23*s = 0.5*1.7702(0-195^2)

   s = -3054.50844 ft

dfistance travelled by the parcel on the level platform is = -3054.50844 ft

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