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e-lub [12.9K]
3 years ago
9

A person of mass m will bungee-jump from a bridge over a river where the height from the bridge to the river is h. The bungee co

rd has an un-stretched length of 23h and when it stretches beyond its equilibrium length it behaves as a spring with spring constant k. Find an expression for the minimum spring constant k that will stop the person just before hitting the river (ignore the height of the person), in terms of m, g, and h.
Physics
1 answer:
Likurg_2 [28]3 years ago
5 0

Answer:k_{min}=\frac{18mg}{h}

Explanation:

Given

mass of person is m

Distance between bridge and river is h

chord has an un-stretched length of \frac{2h}{3}

Let spring constant be k

Person will just stop before hitting the river

Conserve energy i.e. Potential Energy of Person is converted in to elastic energy of chord

mgh=\frac{kx^2}{2}

x=h-\frac{2h}{3}=\frac{h}{3}

mgh=\frac{kh^2}{18}

k=\frac{18mg}{h}

Thus k_{min}=\frac{18mg}{h}

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Marrrta [24]

Answer:

2000 nickels

Explanation:

One way to solve proportionality problems, direct and inverse: the simple 3 rule.

If the relationship between the magnitudes is direct (when one magnitude increases so does the other), the simple direct rule of three must be applied.

On the contrary, if the relationship between the magnitudes is inverse (when one magnitude increases the other decreases) the rule of three simple inverse applies.

The simple 3 rule is an operation that helps us quickly solve proportionality problems, both direct and inverse.

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In the simple three rule, therefore, the proportionality relationship between two known values ​​A and B is established, and knowing a third value C, a fourth value D is calculated.

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Calculation

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X = (10000 g * 1 nickel) / 5 g

X = 2000 nickels

7 0
3 years ago
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Gala2k [10]
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7 0
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Explanation:

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Linear momentum is a vector quantity.

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