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# A 100N object is on an incline at 370. The coefficients of static and kinetic friction are both 0.30.

a.) What is the smallest force parallel to the incline needed to keep the object from sliding down?
b.) What parallel force is required to keep  the object moving up the incline at a constant speed?
c.) Assume the force, F, up the incline is 94N. What is the acceleration of the object?
d.) From part c, how far will it move in 10s?

### 2 Answers by Expert Tutors

Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
1
a) Apply Newton's second law in the direction paralle to the incline
F+f-mgsin37 = 0
=> F = mgsin37 - 0.3*mgcos37 = 100(sin37-0.3cos37) = 36. N

b) Apply Newton's second law in the direction paralle to the incline
F-f-mgsin37 = 0
=> F = mgsin37 + 0.3*mgcos37 = 100(sin37+0.3cos37) = 84.N

c) 94-84 = ma = mg(a/g)
a = 10g/100 = 0.98 m/sec^2

d) d = (1/2)at^2 = (1/2)(0.98)(10^2) = 49 m