Question

Two identical spherical asteroids (mass 7.53x10^18 kg, radius 1.28x10^3 m) are initially at rest, with their centers 4.79x10^5 m apart. Ignore all other objects in the universe, and friction. The two asteroids accelerate toward each other, due to gravity, until they finally crash together. At what speed, in m/s, will each asteroid be moving when they collide (just touch on their outer edge)? NOTE: when the asteroids collide, the distance between the centers of the asteroids is not zero!

Answer #1

no

Two identical spherical asteroids (mass 3.89x10^18 kg, radius
6.94x10^3 m) are initially at rest, with their centers 3.85x10^5 m
apart. Ignore all other objects in the universe, and friction. The
two asteroids accelerate toward each other, due to gravity, until
they finally crash together. At what speed, in m/s, will each
asteroid be moving when they collide (just touch on their outer
edge)?
NOTE: when the asteroids collide, the distance between the
centers of the asteroids is not zero!

Two identical spherical asteroids (mass 3.07x1018 kg,
radius 5.5x103 m) are initially at rest, with their
centers 6.01x105 m apart. Ignore all other objects in
the universe, and friction. The two asteroids accelerate toward
each other, due to gravity, until they finally crash together. At
what speed, in m/s, will each asteroid be moving when they collide
(just touch on their outer edge)?
NOTE: when the asteroids collide, the
distance between the centers of the asteroids is not
zero!

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You can ignore all gravitational forces other than that between the
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Find the speed of the projectile, in m/s, when it reaches Earth,
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assistance, a small projectile is shot toward Earth from the
surface of the planet, at speed 17.5x103 m/s (which is
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Find the speed of the projectile, in m/s,when it reaches Earth,
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In the 23rd century, an Earth probe to the
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surface of the planet, at speed 18x103 m/s (which is
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Find the speed of the projectile, in m/s, when it reaches Earth,
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Two identical cars each of mass 1.8 metric tons, collide head-on
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Consider the same situation as before, only after the crash, the
cars skid for a short distance before ending...

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