A) The kinetic energy of an object is given by:
![K= \frac{1}{2}mv^2](https://tex.z-dn.net/?f=K%3D%20%5Cfrac%7B1%7D%7B2%7Dmv%5E2%20)
where m is the mass of the object, and v its speed. For the lion in our problem, m=45 kg and v=14.2 m/s, so its kinetic energy is
![K= \frac{1}{2}mv^2= \frac{1}{2}(45 kg)(14.2 m/s)^2=4537 J](https://tex.z-dn.net/?f=K%3D%20%5Cfrac%7B1%7D%7B2%7Dmv%5E2%3D%20%5Cfrac%7B1%7D%7B2%7D%2845%20kg%29%2814.2%20m%2Fs%29%5E2%3D4537%20J%20%20)
b) the increase in gravitational potential energy of the lion is given by:
![\Delta U = mg \Delta h](https://tex.z-dn.net/?f=%5CDelta%20U%20%3D%20mg%20%5CDelta%20h)
where g is the gravitational acceleration, and
![\Delta h](https://tex.z-dn.net/?f=%5CDelta%20h)
is the increase in altitude of the lion. In this problem,
![\Delta h=28 m](https://tex.z-dn.net/?f=%5CDelta%20h%3D28%20m)
, so the increase in gravitational potential energy is
![\Delta U=mg \Delta h=(45 kg)(9.81 m/s^2)(28 m)=12361 J](https://tex.z-dn.net/?f=%5CDelta%20U%3Dmg%20%5CDelta%20h%3D%2845%20kg%29%289.81%20m%2Fs%5E2%29%2828%20m%29%3D12361%20J)
c) When the fox reaches the top of the tree, its gravitational potential energy is
![U=mgh=(1.8 kg)(9.81 m/s^2)(3.8 m)=67 J](https://tex.z-dn.net/?f=U%3Dmgh%3D%281.8%20kg%29%289.81%20m%2Fs%5E2%29%283.8%20m%29%3D67%20J)
As it jumps, its kinetic energy is
![K= \frac{1}{2}mv^2= \frac{1}{2}(1.8 kg)(8.1 m/s)^2=59 J](https://tex.z-dn.net/?f=K%3D%20%5Cfrac%7B1%7D%7B2%7Dmv%5E2%3D%20%5Cfrac%7B1%7D%7B2%7D%281.8%20kg%29%288.1%20m%2Fs%29%5E2%3D59%20J%20%20)
So the total mechanical energy of the fox as it jumps is
Answer:
yes I think I must have a tree of me I hope it will help you please follow me
The lungs art part of The excretory<span> system....
</span><span>somatic nervous system is ..... </span><span>autonomic nervous system<span>....
</span></span>
The process in which organ systems work to maintain a stable internal environment is called homeostasis. Keeping a stable internal environment requires constant adjustments. Here are just three of the many ways that human organ systems help the body maintain homeostasis:
Respiratory system: A high concentration of carbon dioxide in the blood triggers faster breathing. The lungs exhale more frequently, which removes carbon dioxide from the body more quickly.
Excretory system: A low level of water in the blood triggers retention of water by the kidneys. The kidneys produce more concentrated urine, so less water is lost from the body.
Endocrine system: A high concentration of sugar in the blood triggers secretion of insulin by an endocrine gland called the pancreas. Insulin is a hormone that helps cells absorb sugar from the blood.
The answer is A. When the forces are weaker, they will not be able to hold the particles of the substances together; therefore, the substance will be observed as being volatile.
Explanation:
Suppose you want to shine a flashlight beam down a long, straight hallway. Just point the beam straight down the hallway -- light travels in straight lines, so it is no problem. What if the hallway has a bend in it? You could place a mirror at the bend to reflect the light beam around the corner. What if the hallway is very winding with multiple bends? You might line the walls with mirrors and angle the beam so that it bounces from side-to-side all along the hallway. This is exactly what happens in an optical fiber.
The light in a fiber-optic cable travels through the core (hallway) by constantly bouncing from the cladding (mirror-lined walls), a principle called total internal reflection. Because the cladding does not absorb any light from the core, the light wave can travel great distances.
However, some of the light signal degrades within the fiber, mostly due to impurities in the glass. The extent that the signal degrades depends on the purity of the glass and the wavelength of the transmitted light (for example, 850 nm = 60 to 75 percent/km; 1,300 nm = 50 to 60 percent/km; 1,550 nm is greater than 50 percent/km). Some premium optical fibers show much less signal degradation -- less than 10 percent/km at 1,550 nm.
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