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a100 kg rock has initial speed of 20m/s up on incline plane the angle of the inc

ID: 1398185 • Letter: A

Question

a100 kg rock has initial speed of 20m/s up on incline plane the angle of the incline with respect to the ehohiontal is 25 the rock slides along the incline for a distance of 25 m b for momentary coming to rest. A what is the mangnitade of the frictional force that act on the rock? B what is the value of the kinetic coefficient of friction ? Place the x axis along the incline .... a100 kg rock has initial speed of 20m/s up on incline plane the angle of the incline with respect to the ehohiontal is 25 the rock slides along the incline for a distance of 25 m b for momentary coming to rest. A what is the mangnitade of the frictional force that act on the rock? B what is the value of the kinetic coefficient of friction ? Place the x axis along the incline .... a100 kg rock has initial speed of 20m/s up on incline plane the angle of the incline with respect to the ehohiontal is 25 the rock slides along the incline for a distance of 25 m b for momentary coming to rest. A what is the mangnitade of the frictional force that act on the rock? B what is the value of the kinetic coefficient of friction ? Place the x axis along the incline ....

Explanation / Answer

u = 20 m/s

theta = 25 degrees

m = 100 kg

a = g sin(theta) + k g cos(theta)

u^2 = 2 a S

a = u^2 / 2 S = 20^2 / (2*25) = 8 m/s^2

9.81*sin(25 degrees) + k *9.81*cos(25 degrees) = 8

k = ( 8 - 9.81*sin(25 degrees) ) / (9.81*cos(25 degrees) ) = 0.433

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(a) mangitude of frictional force = k m g cos(25 degrees) = 0.433 * 100 * 9.81 * cos(25 degrees) = 384.97 N

(b)  value of the kinetic coefficient of friction = 0.433