# When a ball drops from the roof of a building, it speeds up as it falls. What energy transformation is happening?

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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 #2 kg# is hanging from an axle with a radius of #3 m#. If the wheel attached to the axle has a radius of #4 m#, how much force is needed to raise the object?
- What energy conversion takes place during photosynthesis?
- The force applied against a moving object travelling on a linear path is given by #F(x)= x + 4#. How much work would it take to move the object over #x in [ 0 , 2] #?
- An object with a mass of #5 kg# is hanging from an axle with a radius of #24 cm#. If the wheel attached to the axle has a radius of #38 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?
- A ball with a mass of #20 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #24 (kg)/s^2# and was compressed by #5/4 m# when the ball was released. How high will the ball go?

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