How does power differ from energy?
Energy is a measure of the capability of doing work (=transform energy) and is measured in Joules. Power is the work per unit time and is measured in Watts (Joules/seconds).
Consider a pile of bricks. You can take them up to the second floor of a building by hand using energy (you do work transforming chemical energy of your muscles into potential energy of the bricks that are now at the second floor). The same energy is used by a fork lift (it transforms chemical energy in the fuel to do the same as you) BUT it takes 1/10 of the time to do that! The power measures the “efficiency” in terms of time performance in transforming energy doing work.
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Power is the rate at which energy is transferred or converted. Energy is the capacity to do work.
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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.
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 #480 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #16 (kg)/s^2# and was compressed by #4/5 m# when the ball was released. How high will the ball go?
- An object with a mass of #24 kg# is hanging from an axle with a radius of #4 m#. If the wheel attached to the axle has a radius of #26 m#, how much force must be applied to the wheel to keep the object from falling?
- How much work would it take to push a # 4 kg # weight up a # 19 m # plane that is at an incline of # pi / 6 #?
- A ball with a mass of #120 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #15 (kg)/s^2# and was compressed by #3/5 m# when the ball was released. How high will the ball go?
- How much work does it take to raise a #34 kg # weight #3 m #?
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