# A balanced lever has two weights on it, the first with mass #16 kg # and the second with mass #3 kg#. If the first weight is # 7 m# from the fulcrum, how far is the second weight from the fulcrum?

Well, if the lever is balanced, the torque (or, the moment of force) has to be the same. Hence,

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To find the distance of the second weight from the fulcrum, use the formula for a balanced lever:

[ \text{Weight}_1 \times \text{Distance}_1 = \text{Weight}_2 \times \text{Distance}_2 ]

[ 16 , \text{kg} \times 7 , \text{m} = 3 , \text{kg} \times \text{Distance}_2 ]

[ \text{Distance}_2 = \frac{16 , \text{kg} \times 7 , \text{m}}{3 , \text{kg}} ]

[ \text{Distance}_2 = 37.33 , \text{m} ]

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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 fisherman reels in 12.0 m of line while landing a fish, using a constant forward pull of 25.0 N. How much work does the tension in the line do on the fish?
- How much work would it take to push a # 14 kg # weight up a # 2 m # plane that is at an incline of # pi / 6 #?
- A ball with a mass of #400 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 #3/7 m# when the ball was released. How high will the ball go?
- A spring with a constant of #8 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #7 kg# and speed of #9 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
- How much work does it take to raise a #23 kg # weight #11 m #?

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