Obviously, we can make rockets to go very fast, but what is a reasonable top speed? assume that a rocket is fired from rest at a space station in deep space, where gravity is negligible. assume that c = 3.00 108 m/s.

I’ve answered this problem before and there were 2 parts in this problem.

The solution would be like this for this specific problem:

A.    Vf = Vi + Vex*ln(Mi / Mf) 
0.002 * 3e8m/s = 0 + 2000m/s * ln(Mi / Mf) 
300 = ln(Mi / Mf) 
1.9e130 = Mi / Mf 

B.    4000m/s = 2000m/s * ln(Mi / Mf) 
2 = ln(Mi / Mf) 
7.389 = Mi / Mf 
Mf = Mi / 7.389 = 0.135*Mi 

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: