a)A block of mass m = 170 kg rests against a spring with a spring constant of k = 680 N/m on an inclined plane which makes an angle of θ degrees with the horizontal. Assume the spring has been compressed a distance d from its neutral position. b)Enter an expression for the normal force, FN, that the plane exerts on the block (in the y-direction) in terms of defined quantities and g.  c)Denoting the coefficient of static friction by μs, write an expression for the sum of the forces in the x-direction just before the block begins to slide up the inclined plane. Use defined quantities and g in your expression

Principles of Physics: A Calculus-Based Text
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Chapter4: The Laws Of Motion
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 a)A block of mass m = 170 kg rests against a spring with a spring constant of k = 680 N/m on an inclined plane which makes an angle of θ degrees with the horizontal. Assume the spring has been compressed a distance d from its neutral position.

b)Enter an expression for the normal force, FN, that the plane exerts on the block (in the y-direction) in terms of defined quantities and g. 

c)Denoting the coefficient of static friction by μs, write an expression for the sum of the forces in the x-direction just before the block begins to slide up the inclined plane. Use defined quantities and g in your expression 

d) Assuming the plane is frictionless, what will the angle of the plane be, in degrees, if the spring is compressed by gravity a distance 0.1 m? 

e) If the velocity at the bottom is the same as the velocity at the top from part (a), what is the child's apparent weight, in newtons, at the very bottom of the path? 

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