Answer:
Velocity of airplane is 500 km/h
Velocity of wind is 40 km/h
Explanation:
= Velocity of airplane in still air
= Velocity of wind
Time taken by plane to travel 1150 km against the wind is 2.5 hours
![V_a-V_w=\frac {1150}{2.5}\\\Rightarrow V_a-V_w=460\quad (1)](https://tex.z-dn.net/?f=V_a-V_w%3D%5Cfrac%20%7B1150%7D%7B2.5%7D%5C%5C%5CRightarrow%20V_a-V_w%3D460%5Cquad%20%281%29)
Time taken by plane to travel 450 km against the wind is 50 minutes = 50/60 hours
![V_a+V_w=\frac {450}{50}\times 60\\\Rightarrow V_a-V_w=540\quad (2)](https://tex.z-dn.net/?f=V_a%2BV_w%3D%5Cfrac%20%7B450%7D%7B50%7D%5Ctimes%2060%5C%5C%5CRightarrow%20V_a-V_w%3D540%5Cquad%20%282%29)
Subtracting the two equations we get
![V_a-V_w-V_a-V_w=460-540\\\Rightarrow -2V_w=-80\\\Rightarrow V_w=40\ km/h](https://tex.z-dn.net/?f=V_a-V_w-V_a-V_w%3D460-540%5C%5C%5CRightarrow%20-2V_w%3D-80%5C%5C%5CRightarrow%20V_w%3D40%5C%20km%2Fh)
Applying the value of velocity of wind to the first equation
![V_a-40=460\\\Rightarrow V_a =500\ km/h](https://tex.z-dn.net/?f=V_a-40%3D460%5C%5C%5CRightarrow%20V_a%20%3D500%5C%20km%2Fh)
∴ Velocity of airplane in still air is 500 km/h and Velocity of wind is 40 km/h
Answer:
R = 5.28 103 km
Explanation:
The definition of density is
ρ = m / V
V = m /ρ
Where m is the mass and V the volume of the body
The volume of a sphere is
V = 4/3 π r³
Let's replace
4/3 π r³ = m / ρ
R =∛ ¾ m / ρ π
The mass of the planet is
M = 5.5 Me
R = ∛ ¾ 5.5 Me /ρ π
Let's reduce the density to SI units
ρ = 1.76 g / cm³ (1 kg / 10³ g) (10² cm / 1 m)³
ρ = 1.76 10³ kg / m³
Let's calculate
R = ∛ ¾ 5.5 5.97 10²⁴ / (1.76 10³ pi)
R = ∛ 0.14723 10²¹
R = 0.528 10⁷ m
R = 0.528 104 km
R = 5.28 103 km
the answer is a) 0.00235 because 1/425=0.00235. hope I helped!