\"In this problem, you will estimate the cross section for an earth-asteroid col
ID: 1698215 • Letter: #
Question
"In this problem, you will estimate the cross section for an earth-asteroid collision. In all that follows, assume that the earth is fixed in space and that the radius of the asteroid is much less than the radius R of the earth. The mass of the earth is M_e, and the mass of the asteroid is m. Use G for the universal gravitational constant."E_initial =0.5mv^2
L_initial =mbv
E_surface =0.5mleft(v_{f} ight)^{2}-rac{GmM_{e}}{R}
L_surface =mRv_{f}
Use conservation of energy and angular momentum to find an expression for (b_{ m max})^2. where b_max is at the surface.
My answer is:
b^2 = R^2+(rac{2GM_eR}{v^2})
is this correct?
Explanation / Answer
yes
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