Answer:
Vf= 7.29 m/s
Explanation:
Two force act on the object:
1) Gravity
2) Air resistance
Upward motion:
Initial velocity = Vi= 10 m/s
Final velocity = Vf= 0 m/s
Gravity acting downward = g = -9.8 m/s²
Air resistance acting downward = a₁ = - 3 m/s²
Net acceleration = a = -(g + a₁ ) = - ( 9.8 + 3 ) = - 12.8 m/s²
( Acceleration is consider negative if it is in opposite direction of velocity )
Now
2as = Vf² - Vi²
⇒ 2 * (-12.8) *s = 0 - 10²
⇒-25.6 *s = -100
⇒ s = 100/ 25.6
⇒ s = 3.9 m
Downward motion:
Vi= 0 m/s
s = 3.9 m
Gravity acting downward = g = 9.8 m/s²
Air resistance acting upward = a₁ = - 3 m/s²
Net acceleration = a = g - a₁ = 9.8 - 3 = 6.8 m/s²
Now
2as = Vf² - Vi²
⇒ 2 * 6.8 * 3.9 = Vf² - 0
⇒ Vf² = 53. 125
⇒ Vf= 7.29 m/s
Answer:
,Assume that the average volume of an adult human body is one-tenth
cubic meter (0.10 m) and that there are two billion (2.0 x 109)
adults in the world.
a. What would be the total volume of all the adults in the world?
b. Compute the length of one edge of a cubic container that has a
volume equal to the volume of all the adults in the world.
Answer:
![difference \: in \: weight = 150n - 100n = 50n](https://tex.z-dn.net/?f=difference%20%20%5C%3A%20in%20%5C%3A%20weight%20%3D%20150n%20-%20100n%20%3D%2050n)
Now,buyantant force
![difference \: in \: weight \: = volume(body) \times density \: of \: water \: \times g](https://tex.z-dn.net/?f=difference%20%5C%3A%20in%20%5C%3A%20weight%20%5C%3A%20%3D%20volume%28body%29%20%5Ctimes%20density%20%5C%3A%20of%20%5C%3A%20water%20%5C%3A%20%20%5Ctimes%20g)
so;
![50 = {v}^{b} \times 1 \times {10}^{3} \times 9.8m {s}^{2}](https://tex.z-dn.net/?f=50%20%3D%20%20%7Bv%7D%5E%7Bb%7D%20%20%5Ctimes%201%20%5Ctimes%20%20%7B10%7D%5E%7B3%7D%20%20%5Ctimes%209.8m%20%7Bs%7D%5E%7B2%7D)
![{v}^{b} = \frac{50}{1000 } \times 9.8](https://tex.z-dn.net/?f=%20%7Bv%7D%5E%7Bb%7D%20%20%3D%20%20%5Cfrac%7B50%7D%7B1000%20%7D%20%5Ctimes%209.8)
![= \frac{50}{9800}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B50%7D%7B9800%7D%20)
![= 0.0051](https://tex.z-dn.net/?f=%20%3D%200.0051)
Now,
![mass \: in \: air \: = 150n = \frac{150}{9.8kg}](https://tex.z-dn.net/?f=mass%20%5C%3A%20in%20%5C%3A%20air%20%5C%3A%20%20%3D%20150n%20%3D%20%20%5Cfrac%7B150%7D%7B9.8kg%7D%20)
![density = \frac{weght}{volume}](https://tex.z-dn.net/?f=density%20%3D%20%20%5Cfrac%7Bweght%7D%7Bvolume%7D%20)
![= \frac{150}{0.0051} \times 9.8 \\ x = 3000](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B150%7D%7B0.0051%7D%20%20%5Ctimes%209.8%20%5C%5C%20x%20%3D%203000)
And now,
![specific \: density \: = \frac{density of \: the \: body}{density \: of \: water}](https://tex.z-dn.net/?f=specific%20%5C%3A%20density%20%5C%3A%20%20%3D%20%20%5Cfrac%7Bdensity%20of%20%5C%3A%20the%20%5C%3A%20body%7D%7Bdensity%20%5C%3A%20of%20%5C%3A%20water%7D%20)
![= \frac{3000}{1000}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B3000%7D%7B1000%7D%20)
![= 3](https://tex.z-dn.net/?f=%20%3D%203)
Hence that,specific density of a given body is 3
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Answer:
They both tend to develop during the spring (March-June), reach peak intensity during the late autumn or winter (November-February), and then weaken during the spring or early summer (March-June)