Answer:
A) Increases by a factor of 2
Explanation:
Kinetic energy can be defined as an energy possessed by an object or body due to its motion.
Mathematically, kinetic energy is given by the formula;
![K.E = \frac{1}{2}MV^{2}](https://tex.z-dn.net/?f=%20K.E%20%3D%20%5Cfrac%7B1%7D%7B2%7DMV%5E%7B2%7D)
Where;
K.E represents kinetic energy measured in Joules.
M represents mass measured in kilograms.
V represents velocity measured in metres per seconds square.
Given that mass, m = 2m
Substituting into the equation, we have;
K.E = ½mv²
K.E = ½*2mv²
Cross-multiplying, we have;
2K.E = 2mv²
Hence, if the mass of an object increases by a factor 2, kinetic energy is increased by a factor of 2.
Answer:b)1770 kWh
Explanation:
Given
volume of water ![V=40,000 gallons](https://tex.z-dn.net/?f=V%3D40%2C000%20gallons)
Temperature rise ![\Delta T=10^{\circ}C](https://tex.z-dn.net/?f=%5CDelta%20T%3D10%5E%7B%5Ccirc%7DC)
![c=4186 J/kg-^{\circ} C](https://tex.z-dn.net/?f=c%3D4186%20J%2Fkg-%5E%7B%5Ccirc%7D%20C%20)
also 1 kg mass is approximately is 1 gallon
therefore 40,000 gallon is equivalent to 3.8\times 40000 kg
heat Required to raise temperature is
![Q=mc\Delta T](https://tex.z-dn.net/?f=Q%3Dmc%5CDelta%20T)
![Q=3.8\times 40000\times 4186\times 10](https://tex.z-dn.net/?f=Q%3D3.8%5Ctimes%2040000%5Ctimes%204186%5Ctimes%2010%20)
![Q=63,627.2\times 10^5 J](https://tex.z-dn.net/?f=Q%3D63%2C627.2%5Ctimes%2010%5E5%20J)
![Q=63,672.2\times 10^2 KJ](https://tex.z-dn.net/?f=Q%3D63%2C672.2%5Ctimes%2010%5E2%20KJ)
![Q=1767.42 kWh\approx 1770 kWh](https://tex.z-dn.net/?f=Q%3D1767.42%20kWh%5Capprox%201770%20kWh)
The most cited reason for the use of restraints on children that had the potential for fatality is: the prevention of of volatile or disturbing behavior that had the potential to cause injury.
<h3>What is the above research about?</h3>
The above research speaks to the use of restraints on children and seeks to highlight the fact that restraining children no matter the cause had, and continues to lead to the death of children numbered in their dozens.
The solution to this phenomena was that the sate of New York operates a service that caters to family and children and that over a space of five years, they were properly funded to train people on how to handle children.
Learn more about child restraints at:
brainly.com/question/4154652
#SPJ1
The required value of the index of refraction of glass is 1.5.
Given data:
The speed of light in a vacuum is,
.
The speed of light in a glass is,
.
Light has the tendency to travel from one medium to another, then the difference between the speeds of light in various mediums is determined by a term, known as the index of refraction. The mathematical expression for the index of refraction of glass is,
n = c / v
Solving as
![n = \dfrac{3.0 \times 10^{8}}{2.0 \times 10^{8}}\\\\n = 1.5](https://tex.z-dn.net/?f=n%20%3D%20%5Cdfrac%7B3.0%20%5Ctimes%2010%5E%7B8%7D%7D%7B2.0%20%5Ctimes%2010%5E%7B8%7D%7D%5C%5C%5C%5Cn%20%3D%201.5)
Thus, we can conclude that the required value of the index of refraction of glass is 1.5.
Learn more about the index of refraction here:
brainly.com/question/17156275
Answer:
Spring tide is a tide with largest difference between the high and tide and the low tide on the earth on a solar day.
Neap tide is the tide with the least difference between the high and low tides on the earth in a solar day.
Explanation: Tide is the rise or fall in the level of water bodies which is easily detectable on the shore of the water bodies. This rise and fall is caused by the gravitational pull of the moon and sun in resultant.
Gravitational force between the 2 masses is mathematically given as:
![F=\frac{G. M_1.M_2}{r^2}](https://tex.z-dn.net/?f=F%3D%5Cfrac%7BG.%20M_1.M_2%7D%7Br%5E2%7D)
where:
- G= gravitational constant =
![6.67 \times 10^{-11} N.m^2.kg^{-2}](https://tex.z-dn.net/?f=6.67%20%5Ctimes%2010%5E%7B-11%7D%20N.m%5E2.kg%5E%7B-2%7D)
=mass of body 1
= mass of body 2
- r= distance between the center of the masses.
The water on the earth acts as a membrane sue to the gravity of earth and its own surface tension.
During spring tide the earth, the moon and the sun are in a starlight line developing a greater net force on the earth due to which the membrane of the water present on the earth gets stretched by the maximum force in such condition when it is a new moon day or a full moon day.
During Neap tide the moon, and the sun are at right angles with respect to the earth developing a lesser net force on the earth due to which the membrane of the water present on the earth gets a lesser pull by the force components in such condition when it is a first quarter moon or a third quarter moon .