<u>Answer:</u> The correct answer is Option b.
<u>Explanation:</u>
Young's Modulus is defined as the ratio of stress acting on a substance to the amount of strain produced.
Stress is defined as force per unit area and strain is defined as proportional deformation in a material.
The equation representing Young's Modulus is:
![Y=\frac{F/A}{\Delta l/l}=\frac{Fl}{A\Delta l}](https://tex.z-dn.net/?f=Y%3D%5Cfrac%7BF%2FA%7D%7B%5CDelta%20l%2Fl%7D%3D%5Cfrac%7BFl%7D%7BA%5CDelta%20l%7D)
where,
Y = Young's Modulus
F = force exerted by the weight
l = length of wire
A = area of cross section
= change in length
Hence, the correct answer is Option b.
2m/s
Explanation:
Given parameters:
Distance traveled = 60m
time taken = 30seconds
Unknown:
Speed of skateboarder = ?
Solution:
Speed is the rate of change of distance with time taken. It is a scalar quantity that only revers magnitude;
Speed = ![\frac{distance}{time}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%7D%7Btime%7D)
Speed =
= 2m/s
learn more:
Speed brainly.com/question/1548911
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The relative motion of gaseous particles increases with increase in the temperature of the gas molecules just like the motion of popcorn in a popper increases when heat is applied to the popper.
<h3>What is kinetic theory of gas?</h3>
The kinetic theory of gases or matter states that matter consists of tiny particles which are constant motion, colliding with one another and with walls of the containing vessels.
Just like a popcorn in a popcorn popper pops when heat is applied to the popper, gases contained in a cylinder increases their speed when they acquire more kinetic energy as the temperature of the cylinder increases.
Thus, the motion of gas particles depends on the temperature of the containing vessel so also does the random motion of popcorn depends on the temperature of the popper.
Learn more about kinetic theory of gases here: brainly.com/question/11067389
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Answer:
56km
Explanation:
168 ÷ 240 = 0.7
0.7 × 80 = 56km
240 is the amount of minutes in 4 hours.
We divided 168 by 240 to get the distance covered in 1 minute. Afterwards, we needed 80 minutes so we multiplied the answer by 80.
Answer:
a) ![s \approx 6.676\,m](https://tex.z-dn.net/?f=s%20%5Capprox%206.676%5C%2Cm)
Explanation:
a) Let assume that the ground is not inclined, since the bottom of the playground slide is tangent to ground. Then, the length of given by the definition of a circular arc:
![s = \frac{\pi}{4}\cdot R](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B%5Cpi%7D%7B4%7D%5Ccdot%20R)
![s=\frac{\pi}{4}\cdot (8.5\,m)](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B%5Cpi%7D%7B4%7D%5Ccdot%20%288.5%5C%2Cm%29)
![s \approx 6.676\,m](https://tex.z-dn.net/?f=s%20%5Capprox%206.676%5C%2Cm)
The bottom of the slide has a height of zero. The physical phenomenon around Dr. Ritchey's daughter is modelled after Principle of Energy Conservation. The child begins at rest:
![U_{g,A} = K_{B} + W_{fr}](https://tex.z-dn.net/?f=U_%7Bg%2CA%7D%20%3D%20K_%7BB%7D%20%2B%20W_%7Bfr%7D)
![m\cdot g \cdot h_{A} = \frac{1}{2}\cdot m \cdot v_{B}^{2} + f\cdot s](https://tex.z-dn.net/?f=m%5Ccdot%20g%20%5Ccdot%20h_%7BA%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20m%20%5Ccdot%20v_%7BB%7D%5E%7B2%7D%20%2B%20f%5Ccdot%20s)
The average frictional force is cleared within the expression:
![f = \frac{m\cdot (g\cdot h_{A}-\frac{1}{2}\cdot v_{B}^{2})}{s}](https://tex.z-dn.net/?f=f%20%3D%20%5Cfrac%7Bm%5Ccdot%20%28g%5Ccdot%20h_%7BA%7D-%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20v_%7BB%7D%5E%7B2%7D%29%7D%7Bs%7D)
![f = \frac{(12\,kg)\cdot [(9.807\,\frac{m}{s^{2}} )\cdot (3\,m)-\frac{1}{2}\cdot (4.5\,\frac{m}{s} )^{2} ]}{6.676\,m}](https://tex.z-dn.net/?f=f%20%3D%20%5Cfrac%7B%2812%5C%2Ckg%29%5Ccdot%20%5B%289.807%5C%2C%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D%20%29%5Ccdot%20%283%5C%2Cm%29-%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%284.5%5C%2C%5Cfrac%7Bm%7D%7Bs%7D%20%29%5E%7B2%7D%20%5D%7D%7B6.676%5C%2Cm%7D)
![f = 34.684\,N](https://tex.z-dn.net/?f=f%20%3D%2034.684%5C%2CN)