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\"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