Answer: Anthophobia
Explanation: A fear of flowers
Initial velocity of kangaroo in upward direction (u) = 5.77 ![\(\frac{m}{s}\)](https://tex.z-dn.net/?f=%5C%28%5Cfrac%7Bm%7D%7Bs%7D%5C%29)
Final velocity at the highest point of the journey (v) = 0 ![\(\frac{m}{s}\)](https://tex.z-dn.net/?f=%5C%28%5Cfrac%7Bm%7D%7Bs%7D%5C%29)
Let the maximum height reached be H.
Acceleration due to gravity = -9.8![\frac{m}{s^2}\)](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7Bs%5E2%7D%5C%29)
Now, using the third equation of motion:
![\(v^2 = u^2 + 2aH\)](https://tex.z-dn.net/?f=%5C%28v%5E2%20%3D%20u%5E2%20%2B%202aH%5C%29)
![\(0^2 = 5.77^2 - 2 \times 9.8 \times H\)](https://tex.z-dn.net/?f=%5C%280%5E2%20%3D%205.77%5E2%20-%202%20%5Ctimes%209.8%20%5Ctimes%20H%5C%29)
![\(5.77^2 = 2 \times 9.8 \times H\)](https://tex.z-dn.net/?f=%5C%285.77%5E2%20%3D%202%20%5Ctimes%209.8%20%5Ctimes%20H%5C%29)
![\(H = \(\frac{5.77^2}{19.6} \)](https://tex.z-dn.net/?f=%5C%28H%20%3D%20%5C%28%5Cfrac%7B5.77%5E2%7D%7B19.6%7D%20%5C%29)
H = 1.698 m
The maximum height reached by kangaroo is 1.7 m.
D. Venus, it temp remains constant.
Answer:
![T_{f} = 335.780\,K\,(62.630\,^{\textdegree}C)](https://tex.z-dn.net/?f=T_%7Bf%7D%20%3D%20335.780%5C%2CK%5C%2C%2862.630%5C%2C%5E%7B%5Ctextdegree%7DC%29)
Explanation:
Let assume that air behaves ideally. The equation of state of ideal gases is:
![P\cdot V = n\cdot R_{u}\cdot T](https://tex.z-dn.net/?f=P%5Ccdot%20V%20%3D%20n%5Ccdot%20R_%7Bu%7D%5Ccdot%20T)
Where:
- Pressure, in kPa.
- Volume, in m³.
- Quantity of moles, in kmol.
- Ideal gas constant, in
.
- Temperature, in K.
Since there is no changes in pressure or the quantity of moles, the following relationship between initial and final volumes and temperatures is built:
![\frac{V_{o}}{T_{o}} = \frac{V_{f}}{T_{f}}](https://tex.z-dn.net/?f=%5Cfrac%7BV_%7Bo%7D%7D%7BT_%7Bo%7D%7D%20%3D%20%5Cfrac%7BV_%7Bf%7D%7D%7BT_%7Bf%7D%7D)
The final temperature is:
![T_{f} = \frac{V_{f}}{V_{o}}\cdot T_{o}](https://tex.z-dn.net/?f=T_%7Bf%7D%20%3D%20%5Cfrac%7BV_%7Bf%7D%7D%7BV_%7Bo%7D%7D%5Ccdot%20T_%7Bo%7D)
![T_{f} = 1.13\cdot (297.15\,K)](https://tex.z-dn.net/?f=T_%7Bf%7D%20%3D%201.13%5Ccdot%20%28297.15%5C%2CK%29)
![T_{f} = 335.780\,K\,(62.630\,^{\textdegree}C)](https://tex.z-dn.net/?f=T_%7Bf%7D%20%3D%20335.780%5C%2CK%5C%2C%2862.630%5C%2C%5E%7B%5Ctextdegree%7DC%29)
Answer:
Black holes are detected as surrounding material (like gas) is funnelled by the force of gravity into a disk around the black hole. The gas molecules in the disk swirl around the black hole so fast that they heat up and emit X-rays. These X-rays can be detected from Earth.
Explanation: