A 3.00 kg block starts from rest at the top of a 27.5° incline and slides 2.00 m down the incline in 1.70 s.?
(a) Find the acceleration of the block.
____________ m/s2
(b) Find the coefficient of kinetic friction between the block and the incline.
___________
(c) Find the frictional force acting on the block.
__________ N
(d) Find the speed of the block after it has slid 2.00 m.
____________m/s
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(a) Find the acceleration of the block. 2.00 = 0.5*a*1.70^2 or a = 4/(1.70^2) = 1.38 m/s^2
(b) Find the coefficient of kinetic friction between the block and the incline.
Net force = 3.0*1.38 = 3.0*9.8*sin 27.5 - mu*3.0*9.8*cos27.59
or mu = [9.8*sin 27.5 - 1.38]/(9.8*cos 27.9) = 0.36
(c) Find the frictional force acting on the block.
0.36*3.0*9.8*cos 27.9 = 9.43 N
(d) Find the speed of the block after it has slid 2.00 m.
1.38*1.70 = 2.35 m/s