# A 5.0 kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 3.0 m/s, what is the force exerted by the rope on the bucket of water?

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The force exerted by the rope on the bucket of water is 53.0 N.

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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.

- What are some real life examples of situations where there is a net force?
- If a #4 kg# object moving at #5/4 m/s# slows to a halt after moving #8 m#, what is the coefficient of kinetic friction of the surface that the object was moving over?
- A box with an initial speed of #5 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #5/3 # and an incline of #(3 pi )/4 #. How far along the ramp will the box go?
- An object with a mass of #7 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 3+2sin(x) #. How much work would it take to move the object over #x in [pi, 4pi], where x is in meters?
- An object, previously at rest, slides #6 m# down a ramp, with an incline of #(3pi)/8 #, and then slides horizontally on the floor for another #12 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?

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