Most geologists believe that the dinosaurs became extinct 65 million years ago when a large comet or asteroid struck the earth, throwing up so much dust that the sun was blocked out for a period of many months. Suppose an asteroid with a diameter of 2.0 km and a mass of hits the earth with an impact speed of .
a. What is the earth’s recoil speed after such a collision? (Use a reference frame in which the earth was initially at rest.)
b. What percentage is this of the earth’s speed around the sun? The earth orbits the sun at a distance of .
Part (a). The earth’s recoil speed after collision is
Part (b). Percentage of the recoil speed with the speed of the earth around sun is
We need to find out :
a) The earth’s recoil speed after collision
b) Comparison of it with earth's speed around the sun.
We know that,
You have been asked to design a “ballistic spring system” to measure the speed of bullets. A spring whose spring constant is k is suspended from the ceiling. A block of mass M hangs from the spring. A bullet of mass m is fired vertically upward into the bottom of the block and stops in the block. The spring’s maximum compression d is measured.
a. Find an expression for the bullet’s speed in terms of m, M, k, and d.
b. What was the speed of a bullet if the block’s mass is and if the spring, with , was compressed by ?
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