(b) What analysis model describes the vertical motion of the

protons above the plane? (c) Argue that Equation 4.20

would be applicable to the protons in this situation. (d) Use

Equation 4.20 to write an expression for R in terms of vi

,

E, the charge and mass of the proton, and the angle u. (e)

Find the two possible values of the angle u. (f) Find the time

interval during which the proton is above the plane in Fig-

ure P22.26 for each of the two possible values of u.

a) Maximum altitude of the projectile,

b) v = 10885.7 m/s

Explanation:

a) Mass of the earth,

Mass of the projectile =

Launch speed, v = 2.31 * 10³ m/s

Earth radius, r =  6.36 ✕ 10⁶ m

Workdone by the projectile against gravity

...............(1)

Kinetic energy of the projectile:

...................(2)

Equating (1) and (2) based on the law of energy conservation

b) Smallest required change in the satellite speed

Altitude, h = 352 km = 352000 m

Earth radius, r = 6.38 * 10⁶ m

v = 10885.7 m/s