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san4es73 [151]
3 years ago
7

A student is bouncing on a trampoline. At her highest point, her feet are 95 cm above the trampoline. When she lands, the trampo

line sags 25 cm before propelling her back up.
SAT
1 answer:
rosijanka [135]3 years ago
8 0

The time she spent in contact with the trampoline is 0.1619 seconds.

The objective of this question is to determine for how long she is in contact with the trampoline?

The conservational force is exerted on the trampoline is equivalent to the sum of the potential energy at the highest point and the elastic energy at the lowest point.

∴

From the given information;

\mathbf{mg \dfrac{(95 +25)}{100} = \dfrac{1}{2}k ( \dfrac{25}{100})^2}

\mathbf{m\times g\times 1.2 = k(0.03125)}

\mathbf{m\times 9.8 \times 1.2 = k(0.03125)}

\mathbf{\dfrac{m}{k} = \dfrac{(0.03125)}{9.8 \times 1.2}}

\mathbf{\dfrac{m}{k} = 0.002657}

Using the Simple Harmonic Motion to determine the time at which she is in contact with the trampoline, we have;

\mathbf{t= \dfrac{T}{2}}

\mathbf{t= \dfrac{2 \pi}{2} \sqrt{\dfrac{m}{k}}}

where;

  • \mathbf{\dfrac{m}{k} = 0.002657}

\mathbf{t= \dfrac{2 \pi}{2} \times \sqrt{0.002657}}}

\mathbf{t=0.1619\ sec}}

Learn more about the time period of a Simple Harmonic Motion here:

brainly.com/question/17315536

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Anastaziya [24]

The expression (PE products) - (PE reactants) represents the heat of reaction for a chemical change in terms of PE (potential energy).

<h3>What is potential energy?</h3>

Potential energy is any type of energy stored to perform physical work in a given period of time.

Conversely, kinetic energy is motion (movement) energy used when performing physical work.

In conclusion, the expression (PE products) - (PE reactants) represents the heat of reaction for a chemical change in terms of PE (potential energy).

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The best translation of the following sentence "as for me, i don't know" we have that will be "por mi parte, no sé".

This will be the correct translation because when we look at the translation of the other options we have that they correspond to :

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