# An object with a mass of #2 kg# is on a plane with an incline of # - pi/3 #. If it takes #12 N# to start pushing the object down the plane and #5 N# to keep pushing it, what are the coefficients of static and kinetic friction?

coefficients of static & kinetic friction are

Putting the matching value in the equation above, we obtain

Putting the matching value in the equation above, we obtain

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The coefficient of static friction is μs = 0.174 and the coefficient of kinetic friction is μk = 0.071.

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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.

- An object with a mass of # 3 kg# is lying still on a surface and is compressing a horizontal spring by #80 c m#. If the spring's constant is # 6 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
- Jennifer works for an automaker and tests the safety performance of cars. She watches a 2,000-kilogram car crash into a wall with a force of 30,000 newtons. What’s the acceleration of the car at impact? Use A=v-u/t .
- An object, previously at rest, slides #1 m# down a ramp, with an incline of #(3pi)/8 #, and then slides horizontally on the floor for another #8 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
- An object, previously at rest, slides #5 m# down a ramp, with an incline of #pi/6 #, and then slides horizontally on the floor for another #1 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
- How fast will an object with a mass of #6 kg# accelerate if a force of #18 N# is constantly applied to it?

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