Astronomy

Consider an asteroid of radius 2 km and density 2,500 kgm3 impacting the Earth. When it collides with the surface its kinetic energy is, to a large extent, dumped into the environment, some as heat vaporizing rock and some as mechanical energy throwing rock to great distance and height. If the asteroid were released from rest a great distance from Earth (you can assume this is infinite) find its kinetic energy at impact. Express your result in megatons. These are units often used to measure nuclear weapon energy yields; a megaton is the energy released by one million tons of TNT and equals 4.2×1015 Joules. Round your answer to two significant digits.

1. 👍 0
2. 👎 0
3. 👁 107
1. First compute the mass of the asteroid from its density and radius,r. Call it m.
m = (4/3)pi*r^3

Then compute E = G*M*m/R, where
R is the radis of the Earth
M is the mass of the Earth
m is the mass of the asteroid
G is Newton's universal constant of gravity

E is the energy of the collision,in Joules, assuming the asteroid approaches from infinity. Convert it to megatons of TNT using the specified conversion factor.

1. 👍 0
2. 👎 0
posted by drwls

Similar Questions

1. Astronomy

1. Consider an asteroid of radius 2 km and density 2,500 kg/m^3 impacting the Earth. When it collides with the surface its kinetic energy is, to a large extent, dumped into the environment, some as heat vaporizing rock and some as

asked by keitanako on December 9, 2013
2. Astronomy

The volume of a ball is given in terms of its radius by V=4π3R3. Use this to find the average density of Saturn, i.e. the mass per unit volume. Use Earth’s mass in kg from the Table of Constants to express your answer in kgm3.

asked by sam on December 23, 2012
3. physics

The Near Earth Asteroid Rendezvous (NEAR), after traveling 2.1 billion km, is meant to orbit the asteroid Eros at a height of about 15 km from the asteroid's center. Eros is roughly box-shaped, with dimensions 40 km 6 km 6 km.

asked by Millie on December 13, 2011
4. physics

The Near Earth Asteroid Rendezvous (NEAR), after traveling 2.1 billion km, is meant to orbit the asteroid Eros at a height of about 15 km from the asteroid's center. Eros is roughly box-shaped, with dimensions 40 km 6 km 6 km.

asked by Millie on December 13, 2011
5. Physics

The Near Earth Asteroid Rendezvous (NEAR), after traveling 2.1 billion km, is meant to orbit the asteroid Eros at a height of about 15 km from the asteroid's center. Eros is roughly box-shaped, with dimensions 40 km 6 km 6 km.

asked by Millie on December 13, 2011
6. Physics

The Earth has an angular speed of 7.272·10-5 rad/s in its rotation. Find the new angular speed if an asteroid (m = 3.45·1022 kg) hits the Earth while traveling at a speed of 4.41·103 m/s (assume the asteroid is a point mass

asked by Joe Frank on November 8, 2012
7. physics

An asteroid, whose mass is 2.0 10-4 times the mass of Earth, revolves in a circular orbit around the Sun at a distance that is 2.9 times Earth's distance from the Sun. (a) Calculate the period of revolution of the asteroid in

asked by gobind on April 8, 2007
8. physics

Evidence suggests that there are trillions of dollars' worth of minerals and metals buried in Near Earth Asteroids (the ones that come close to the Earth, not the ones in the asteroid belt between Mars and Jupiter). Many

asked by Jeff on March 18, 2010
9. physics

Consider an asteroid with a radius of 15.5 km and a mass of 3.46E+15 kg. Assume the asteroid is roughly spherical. What is the acceleration due to gravity on the surface of the asteroid? Suppose the asteroid spins about an axis

asked by Hamp on November 15, 2009
10. Physics

An asteroid revolves around the Sun with a mean orbital radius twice that of Earth's. Predict the period of the asteroid in Earth years. (6.38*10^6 radius) I don't understand how to solve this problem.

asked by Angel on November 17, 2009

More Similar Questions