A 3.20-kg block starts from rest at the top of a 30.0° incline and slides a dist

Question

A 3.20-kg block starts from rest at the top of a 30.0° incline and slides a distance of (a) Find the magnitude of the acceleration of the block 1.70 m down the incline in 1.60 s. m/s2 b) Find the coefficient of kinetic friction between block and plane. (c) Find the friction force acting on the block. direction d- (d) Find the speed of the block after it has slid 1.70 m m/s 14. A 9.60-kg hanging object is kinetic friction as 0.233, find the tension in the string. (The block slides to the right in the diagram below.) by a light, inextensible cord over a light, rictionless pulley to a 5.00-kg block that is sliding on a flat table. Taking the coefficient of Need Help?

Explanation / Answer

(A) 1.70 m in 1.60s strating from rest.

starting from rest means v0 = 0

Applying d = v0 t + a t^2 / 2

1.70 = 0 + a ( 1.60^2)/ 2

a = 1.33 m/s^2

(b) Fnet = m a

m g sin30 - f = m a

f= uk N = uk m g cos30

g sin30 - uk g cos30 = a

9.8 sin30 - (uk x 9.8 x cos30 ) = 1.33

uk = 0.42

(c) friction force = uk m g cos30 = 0.42 x 3.20 x 9.8 x cos30

= 11.4 N

up the incline

(d) v = v0 + a t

v = 0 + (1.33)(1.60)

v = 2.13 m/s

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