Ablock is released from rest at the top of a plane inclined at an angle of 21◦ . the coefficient of kinetic friction varies along the plane according to the relation µk = σx, where x is the distance along the plane measured in meters from the top and where σ = 0.7 m−1 . the acceleration of gravity is 9.8 m/s 2 .

determine how far the block slides before coming to rest. (hint: find the acceleration of the block and integrate to find the velocity. note that dv dt = dv dx dx dt answer in units of m

the small 0.38-kg slider is known to move from position a to position b along the vertical-plane slot. determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. the distance r = 0.70 m, the spring modulus k = 154 n/m, and the unstretched length of the spring is 0.53 m

explanation:

-reverse card

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see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

the answer to this is proletariats.

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