Question

The asteroid 243 Ida has a mass of about 4.0×10^{16}kg
and an average radius of about 16 km (it's not spherical, but you
can assume it is). Calculate the acceleration of gravity on 243
Ida. What would an astronaut whose earth weight is 700 N weigh on
243 Ida? If you dropped a rock from a height of 2.0 m on 243 Ida,
how long would it take to reach the ground? If you can jump 53 cm
straight up on earth, how high could you jump on 243 Ida? (Assume
the asteroid's gravity doesn't weaken significantly over the
distance of your jump.)

Answer #1

2. In 1993 the Galileo spacecraft sent home an image of asteroid
“243 Ida” and a tiny moon “Dactyl” orbiting the asteroid. Assume
that the small moon orbits in a circle with a radius of r = 100 km
from the center of the asteroid with an orbital period of T = 27
hours.
a) Show and explain how we derived Kepler’s 3rd
law in class using Newton’s 2nd Law, the definition
for centripetal acceleration, and the equation for the...

9. In 1993 the Galileo spacecraft sent home an image of asteroid
“243 Ida” and a tiny moon “Dactyl” orbiting the asteroid. Assume
that the small moon orbits in a circle with a radius of r = 100 km
from the center of the asteroid with an orbital period of T = 27
hours.
a) Show and explain how we derived Kepler’s 3rd law in class
using Newton’s 2nd Law, the definition for centripetal
acceleration, and the equation for the...

An astronaut stands on the surface of Vesta, which, with an
average radius of 270 km, makes it the third largest object in the
asteroid belt. The astronaut picks up a rock and drops it from a
height of 1.4 m. He times the fall and finds that the rock strikes
the ground after 3.4 s.
(a) Determine the acceleration due to gravity at the surface of
Vesta.
m/s2
(b) Find the mass of Vesta.
kg
(c) If the astronaut...

The mass of a meteor with a radius of 1 km is about 9 x 1012 kg.
The mass of a meteor also is proportional to the cube of its
radius. Suppose a meteor with a radius of 8.5 km is moving at 2.0 x
104 m/s when it collides inelastically with the Earth. The Earth
has a mass of 5.97 x 1024 kg and assume the Earth is stationary.
The kinetic energy lost by the asteroid in this collision...

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