Suppose you want to use a repulsive electric force to launch a rocket. A- How mu

Question

Suppose you want to use a repulsive electric force to launch a rocket.
A- How much charge do you need to create enough repulsion to bring a 100,000-kg rocket to escape speed (11,200 m/s) while the rocket travels 200mm ? Assume that two identical charged objects, one mounted on the rocket, are separated by an average distance of 1.0m for the whole launch.
B- If each elementary charge requires adding mass equivalent to the mass of one hydrogen atom to the rocket, how much additional mass would be required?

Explanation / Answer

a)

first find a

v^2 = v0^2 + 2 a x

11200^2 =2*a*200.0E-3

a=3.136E8 m/s^2

F = ma

so k q^2/r^2 = m a

9.0E9*q^2/1^2 = 100000*3.136E8

q=59.03 C

b)

# H's = q/e = 59.03/1.6E-19

M = 1.67E-27*(59.03/1.6E-19)= 6.16E-7 kg

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