You are analyzing the possible defenses for an asteroid that is going to crash into Earth. Initially, the asteroid of mass ma is traveling to the left with speed vai . A missile of mass mm with initial velocity vmi to the right collides with the asteroid, and embeds itself inside the asteroid. Find the common final velocity of the missile and asteroid after the collision. ma = 1.3000E+9 kg mm = 9.1000E+7 kg vai x = -2200 m/s vmi x = 12571 m/s [the final velocity for this one was -1233.67m/s] = vf x The missile then explodes, causing the asteroid to break into two chunks of mass m1 and m2. Solve algebraically for the final speeds of pieces 1 and 2 in terms of the masses of the two pieces (m1 and m2), the angles, the total mass before the explosion, and vf x (the velocity after the collision that you found above). Then use the following values for the parameters to get values for the speeds: m1 = 2.7820E+8 kg m2 = 1.1128E+9 kg θ1 = 30.2 degrees θ2 = 52.5 degrees This problem is dealing with impulse and this second part is an inelastic collision. We are supposed to solve for v1f and v2f, but I don't know how we are supposed to solve for two unknowns at the same time. I know that momentum is conserved for the whole system of both pieces, but I can't figure out how to find the velocities from that.
You are analyzing the possible defenses for an asteroid that is going to crash into Earth.
Initially, the asteroid of mass ma is traveling to the left with speed vai . A missile of mass mm with initial velocity vmi to the right collides with the asteroid, and embeds itself inside the asteroid. Find the common final velocity of the missile and asteroid after the collision.
ma = 1.3000E+9 kg
mm = 9.1000E+7 kg
vai x = -2200 m/s
vmi x = 12571 m/s
[the final velocity for this one was -1233.67m/s] = vf x
The missile then explodes, causing the asteroid to break into two chunks of mass m1 and m2. Solve algebraically for the final speeds of pieces 1 and 2 in terms of the masses of the two pieces (m1 and m2), the angles, the total mass before the explosion, and vf x (the velocity after the collision that you found above).
Then use the following values for the parameters to get values for the speeds:
m1 = 2.7820E+8 kg
m2 = 1.1128E+9 kg
θ1 = 30.2 degrees
θ2 = 52.5 degrees
This problem is dealing with impulse and this second part is an inelastic collision. We are supposed to solve for v1f and v2f, but I don't know how we are supposed to solve for two unknowns at the same time. I know that momentum is conserved for the whole system of both pieces, but I can't figure out how to find the velocities from that.
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