# An object with a mass of # 2 kg# is lying still on a surface and is compressing a horizontal spring by #80 c m#. If the spring's constant is # 9 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

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The minimum value of the surface's coefficient of static friction is 0.45.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A box with an initial speed of #7 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #5/6 # and an incline of #pi /4 #. How far along the ramp will the box go?
- An object with a mass of #2 kg# is acted on by two forces. The first is #F_1= < 2 N , 5 N># and the second is #F_2 = < 1 N, -6 N>#. What is the object's rate and direction of acceleration?
- An object with a mass of #6 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 1+3cscx #. How much work would it take to move the object over #x in [(pi)/6, (pi)/4], where x is in meters?
- An object with a mass of #9 kg# is acted on by two forces. The first is #F_1= << -7 N , 1 N >># and the second is #F_2 = << 4 N, -3 N >>#. What is the objects rate and direction of acceleration?
- What is the force on a 1000 kg elevator that is falling freely at 9.8 m/sec2? And How do I draw a Free Body Diagram of this?

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