# An object with a mass of #4 kg# is hanging from an axle with a radius of #36 cm#. If the wheel attached to the axle has a radius of #8 cm#, how much work would it take to turn the wheel #36 cm#?

The work is

The load is

The radius of the axle is

The radius of the wheel is

The effort is

The acceleration due to gravity is

Taking moments about the center of the axle

The force is

The distance is

The work is

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The work required to turn the wheel 36 cm is 34.1 Joules.

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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 spring with a constant of #3 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #4 kg# and speed of #1 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
- An object with a mass of #24 kg# is hanging from an axle with a radius of #6 m#. If the wheel attached to the axle has a radius of #48 m#, how much force must be applied to the wheel to keep the object from falling?
- If a #2 kg# object is constantly accelerated from #0m/s# to #15 m/s# over # 12s#, how much power musy be applied at #t= 5 #?
- A ball with a mass of #500 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #36 (kg)/s^2# and was compressed by #8/3 m# when the ball was released. How high will the ball go?
- A ball with a mass of #350 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #9 (kg)/s^2# and was compressed by #7/4 m# when the ball was released. How high will the ball go?

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