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3 years ago

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1. In what type of ecosystem can monkeys population be found?

1 answer:

sp2606 [1]3 years ago

3 0

I, thank you for posting your question here at Brainly.

Here are the answers to your questions:

1. Monkeys live in tropical rainforest ecosystems.
2. Animals should be left alone in nature to take part in the balance of the ecosystem, and not upset it. A sudden increase of monkey population, probably due to destruction of rainforests which lead to lesser area of living for them.
3. Monkeys take a huge part in seed dispersal among flesh fruit plants. Without them, it will greatly affect the conservation of the forests.

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Answer:

The greatest extension of the spring is $\bf{0.055~m}$ and the maximum speed of the block is $\bf{0.695~m/s}$ .

Explanation:

Given:

The mass of the block is, $m = 0.50~kg$

The spring constant of the spring is, $k = 80~N/m$

The mechanical energy of the block is, $E = 0.12~J$

When a particle is oscillating in a simple harmonic way, its total energy is given by

$E = \dfrac{1}{2}m\omega^{2}a^{2}~~~~~~~~~~~~~~~~~~~~~~~~~~~(1)$

where $\omega$ is the angular velocity of the mass and $a$ is the amplitude of its motion.

The relation between angular velocity and spring constant is given by

$\omega = \sqrt{\dfrac{k}{m}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(2)$

Substituting equation (2) in equation (1), we have

$~~~~~~&& E = \dfrac{1}{2}ka^{2}\\&or,& a = \sqrt{\dfrac{2E}{k}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(3)$

Substituting $0.12~J$ for $E$ and $80~N/m$ for $k$ in equation (3), we can write

$a &=& \sqrt{\dfrac{2(0.12~J)}{80~N/m}}\\~~~&=& 0.055~m$

The relation between the maximum velocity and the amplitude is given by

$v_{m} &=& \omega a\\~~~~&=& \sqrt{\dfrac{k}{m}}a~~~~~~~~~~~~~~~~~~~~~~~~~~~~(4)$

Substituting $80~N/m$ for $k$ , $0.50~kg$ for $m$ and $0.055~m$ for $a$ in equation (4), we have

$v_{m} &=& \sqrt{\dfrac{80~N/m}{0.50~kg}}(0.055~m)\\~~~&=& 0.695~m/s$

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lara31 [8.8K]

Answer:

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