Answer:
L = 94.2 ft
n ≈ 5
Explanation:
d = 500 ft
R = 15 ft
The pony walks in one ride around the circle:
L = 2*π*R = 2*3.14*15 ft = 30*π ft = 94.2 ft (One ride around the circle).
In order to determine how many times (n) can the pony give a ride before it needs a drink, we can apply
n = d / L = 500 ft / 94.2 ft = 5.308 ≈ 5
The chemical energy of petrol is converted to heat energy on combustion. The heat energy is converted to kinetic energy by the use of internal combustion engines in vehicles. The law of conservation of energy is maintained in each process.
<h3>What is kinetic energy?</h3>
The kinetic energy of an object is associated with its motion. It can be related to the mass and velocity as
K.E = 1/2 mv²
Given is a diagram of energy conversion due to combustion.
The chemical energy of petrol is converted to heat energy on combustion. The heat energy is converted to kinetic energy by the use of internal combustion engines in vehicles.
The law of conservation of energy states that the energy can neither be created nor destroyed. It can be only converted to one form to the other.
In the given process, the mass decreases but energy remains the same in all forms of energy.
Hence, the law of conservation of energy is maintained in each process
Learn more about kinetic energy.
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Answer: 384,300,000 m
Explanation:
Speed
is mathematically expressed as:
![S=\frac{d}{t}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7Bd%7D%7Bt%7D)
Where:
is the speed of light
is the distance traveled
since
is the time it takes to the pulse to go the moon and return.
Finding
:
![d=c t](https://tex.z-dn.net/?f=d%3Dc%20t)
![d=(3(10)^{8} m/s)(1.281 s)](https://tex.z-dn.net/?f=d%3D%283%2810%29%5E%7B8%7D%20m%2Fs%29%281.281%20s%29)
Finally:
![d=384,300,000 m](https://tex.z-dn.net/?f=d%3D384%2C300%2C000%20m)
As per question the initial states of the gases are given as
INITIAL STATE: FINAL STATE:
![v_{2} =3v[say]](https://tex.z-dn.net/?f=v_%7B2%7D%20%3D3v%5Bsay%5D)
![T_{2} =?](https://tex.z-dn.net/?f=T_%7B2%7D%20%3D%3F)
AS per combined gas equation obtained from the combination of Boyle's law and Charles law [Basic ideal gas laws]
![\frac{p_{1} v_{1} }{T_{1} } =\frac{p_{2}v_{2} }{T_{2} }](https://tex.z-dn.net/?f=%5Cfrac%7Bp_%7B1%7D%20v_%7B1%7D%20%7D%7BT_%7B1%7D%20%7D%20%3D%5Cfrac%7Bp_%7B2%7Dv_%7B2%7D%20%20%7D%7BT_%7B2%7D%20%7D)
Hence ![T_{2} =\frac{p_{2} v_{2}T_{1} }{p_{1} v_{1} }](https://tex.z-dn.net/?f=T_%7B2%7D%20%3D%5Cfrac%7Bp_%7B2%7D%20v_%7B2%7DT_%7B1%7D%20%20%7D%7Bp_%7B1%7D%20v_%7B1%7D%20%7D)
=![\frac{1.06106*3v*293}{4.90106*v}](https://tex.z-dn.net/?f=%5Cfrac%7B1.06106%2A3v%2A293%7D%7B4.90106%2Av%7D)
=190.3 K [ANS]