Answer:
the current is 15.68 × [tex]10^{5}[/tex] A
Explanation:
mass = 1000 kg
magnetic fied = 2T
rail separation = 2m
escape velocity is 11.2km/s = 11.2 × [tex]10^{3}[/tex] m/s
distance = 10 km = [tex]10^{4}[/tex] m
to find out
determine the current
solution
we know force F = I×L×B
here I is current and L is rail separation and B is magnetic field
so F = I ×2×2 = 4 I
so
acceleration is a = [tex]\frac{F}{mass}[/tex]
a = [tex]\frac{4I}{1000}[/tex] m/s²
so equation of motion
v²-u² = 2 a S
here u is initial velocity and S is distance and a is acceleration and v is final velocity
11.2 × [tex]10^{3}[/tex] - 0 = 2× [tex]\frac{4I}{1000}[/tex] × [tex]10^{4}[/tex]
solve we get I
I = 15.68 × [tex]10^{5}[/tex] A
so the current is 15.68 × [tex]10^{5}[/tex] A
