Answer:
Explanation:
Given
Weight of car 
mass of car 
velocity of car 
radius 
(a)Centripetal acceleration is given by



(b)Force that provide centripetal acceleration



(c)Friction force between car and tires is given by

where
=coefficient of static friction
N=normal reaction
Centripetal force will balance the friction force



Complete Question
The complete question is shown on the first uploaded image
Answer:
The angle between shuttle's velocity and the Earth's field is 
Explanation:
From the question we are told that
The length of eire let out is 
The emf generated is 
The earth magnetic field is 
The speed of the shuttle and tether is 
The emf generated is mathematically represented as

making
the subject of the formula
![\theta = sin ^{-1}[ \frac{\epsilon}{L * B *v} ]](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%20%20sin%20%5E%7B-1%7D%5B%20%5Cfrac%7B%5Cepsilon%7D%7BL%20%20%2A%20B%20%20%2Av%7D%20%5D)
substituting values
![\theta = sin ^{-1}[ \frac{40}{250 * (5*10^{-5}) *(7.80 *10^{3})} ]](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%20%20sin%20%5E%7B-1%7D%5B%20%5Cfrac%7B40%7D%7B250%20%20%2A%20%285%2A10%5E%7B-5%7D%29%20%20%2A%287.80%20%2A10%5E%7B3%7D%29%7D%20%5D)

Answer:
d = 2021.6 km
Explanation:
We can solve this distance exercise with vectors, the easiest method s to find the components of the position of each plane and then use the Pythagorean theorem to find distance between them
Airplane 1
Height y₁ = 800m
Angle θ = 25°
cos 25 = x / r
sin 25 = z / r
x₁ = r cos 20
z₁ = r sin 25
x₁ = 18 103 cos 25 = 16,314 103 m
= 16314 m
z₁ = 18 103 sin 25 = 7,607 103 m= 7607 m
2 plane
Height y₂ = 1100 m
Angle θ = 20°
x₂ = 20 103 cos 25 = 18.126 103 m = 18126 m
z₂ = 20 103 without 25 = 8.452 103 m = 8452 m
The distance between the planes using the Pythagorean Theorem is
d² = (x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²2
Let's calculate
d² = (18126-16314)² + (1100-800)² + (8452-7607)²
d² = 3,283 106 +9 104 + 7,140 105
d² = (328.3 + 9 + 71.40) 10⁴
d = √(408.7 10⁴)
d = 20,216 10² m
d = 2021.6 km