What would have to be the mass of this asteroid, in terms of the earth's mass M , for the day to become 26.0% longer than it presently is as a result of the collision? Assume that the asteroid is very small compared to the earth and that the earth is uniform throughout.

Explanation:

Mass of earth = M

initial Time period, T = 24 hr

final time period, T' = T + 26% of T = 24 + 24 x 26 / 100 = 30.24 hr

The angular momentum of the system is conserved as no external torque is applied on the system

0.504 M = 0.4 M + m

m = 0.104 M

the answer is kevlar

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