Question

A spherical asteroid with a radius of 11 km approaches Earth
with a speed 0.3c. What is the volume of the asteroid as determined
by an Earth-based observatory.

(The volume of an ellipsoid with semi-axis a,b, and d is
4π*a*b*d/3).

Answer #2

answered by: anonymous

(a)
What is the escape speed on a spherical asteroid whose radius is
633 km and whose gravitational acceleration at the surface is 0.707
m/s2? (b) How far from the surface will a particle go if it leaves
the asteroid's surface with a radial speed of 601 m/s? (c) With
what speed will an object hit the asteroid if it is dropped from
868.7 km above the surface?

(a) What is the escape speed on a spherical asteroid whose
radius is 590 km and whose gravitational acceleration at the
surface is 2.7 m/s2? m/s
(b) How far from the surface will a particle go if it leaves the
asteroid's surface with a radial speed of 1000 m/s? m
(c) With what speed will an object hit the asteroid if it is
dropped from 1000 km above the surface? m/s

The Little Prince lives on an asteroid with a radius of 10 km
made up of volcanic rock (density 2,500 kg/m3). His mass
is 30 kg. a) What is his weight on the asteroid?
On Earth he can jump to a height of 1 m. With that knowledge, he
jumps up on the asteroid as hard as he can. b) Will he be able to
escape the asteroid?
The mass of the Earth is 6 x 1024 kg. The radius...

The Little Prince lives on an asteroid with a radius of 10 km
made up of volcanic rock (density 2,500 kg/m3). His mass is 30 kg.
a) What is his weight on the asteroid? On Earth he can jump to a
height of 1 m. With that knowledge, he jumps up on the asteroid as
hard as he can. b) Will he be able to escape the asteroid? The mass
of the Earth is 6 x 1024 kg. The radius...

The escape velocity at the surface of Earth is approximately 11
km/s. What is the radius, in units of R (the radius of the Earth),
of a planet with twice the mass of Earth for which the escape speed
is twice that for Earth?
8R
2R
R/4
R/2
R

Impacts! The relative velocity of an Asteroid impacting Earth
depends on the direction it is approaching Earth’s orbit from.
a. Earth’s escape velocity is ~11 km/s, the Earth orbits the sun
at ~30 km/s, and an asteroid crossing Earth’s orbit would have
about the same velocity of ~30 km/s. What are the minimum and
maximum velocities of impact for an asteroid hitting Earth?
b. Asteroid 1 with mass m1 hits Earth at a velocity of v1 = 50
km/s. Asteroid...

Calculate the Density of an steroid
An extremely massive (spherical) asteroid with a mass of 8.7 x
1015 kg passes through the atmosphere and hits the
Caspian Sea. The diameter of the asteroid is determined to be 20.5
km and there are initially 78200 km3 of water in the
Caspian Sea. Assuming that this asteroid is denser than water,
calculate the water displacement in cubic meter. What is the
density of the asteroid in g/cm3? (Hint: use the
equation for...

An asteroid moving in the ecliptic is seen with coordinates x =
1.2 AU and y = 0.8 AU moving at a speed of 20 km s-1 along a
direction making a counter-clockwise angle of 55 degrees with the
x-axis. What are the semi-major axis and eccentricity of its orbit?
Is it an Earth-crossing asteroid?

A 3.9×1010kg asteroid is heading directly toward the
center of the earth at a steady 22 km/s. To save the planet,
astronauts strap a giant rocket to the asteroid perpendicular to
its direction of travel. The rocket generates 5.0×109N
of thrust. The rocket is fired when the asteroid is
3.8×106km away from earth. You can ignore the rotational
motion of the earth and asteroid around the sun.
Express your answers to two significant figures and include the
appropriate units.
a)...

A baseball pitcher can throw a fastball at 150 km/hr (94 mph).
What is the radius of the largest spherical asteroid, density 3 g
cm-3 , from which he can throw a ball fast enough that the ball: a.
Escapes from the asteroid and goes into heliocentric orbit. b. Goes
into circular orbit just above the surface of the asteroid. c.
Rises to an altitude of 50 km and falls back.

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