# A pulley with a mechanical advantage of 5 is used to lift a bucket weighing 285 N. How much force must be used to lift the bucket?

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The force required to lift the bucket is 57 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.

- A ball with a mass of #140 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #49 (kg)/s^2# and was compressed by #7/6 m# when the ball was released. How high will the ball go?
- The force applied against a moving object travelling on a linear path is given by #F(x)= x^2+e^x #. How much work would it take to move the object over #x in [0, 5] #?
- What is the gravitational potential energy of a # 29 kg# object on a shelf # 4 m # high?
- A balanced lever has two weights on it, the first with mass #3 kg # and the second with mass #2 kg#. If the first weight is # 4 m# from the fulcrum, how far is the second weight from the fulcrum?
- How much work does it take to raise a #7 kg # weight #15 m #?

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