Planet Lex is four times as massive as the Earth and has a
radius four times larger than the Earth's radius. Note: You
do not have to express your answers in scientific
notation.
Mass of the Earth = 5.97 x 1024 kg
Radius of the Earth = 6.37 x 106 m
a.
What is the value of the acceleration due to
gravity (in m/s2) on the surface of this
planet? Round off your answer up to two decimal digits.
b....
A planet has the same density as Earth but has a surface
gravitational acceleration of nine times that of
the Earth (a person would instantly black out if placed on the
surface). What is the escape velocity from the planet? If
the planet was in an orbit of 1 AU from a 1 M⊙ star, what is
the maximum distance that a moon could orbit the planet?
Planet X has a mass of 6 times the mass of Earth, and its radius
is 8 times the radius of Earth. A rocket takes off from Planet X's
surface, with a velocity that is 1/3 vesc, where vesc is the escape
velocity of the planet. How high from the center of Planet X does
the rocket reach in meters?
The average density of planet earth is 5.52 g/cm3. Knowing that
Earth has a mass of 5.97*10^27g, determine the earth radius in
miles. ( 1 mile = 1609 meters).
3) Consider a spherical planet in our solar system with radius,
R, that behaves like a perfect blackbody, absorbing all of the
sunlight hitting its surface and radiating light isotropically
according to its temperature. At what range of distances from the
Sun could this planet support liquid water on its surface?
Hint: Solve for the equilibrium temperature of the planet where
the light energy it absorbs equals the energy radiated away, and
then find the distances where this temperature is...
An insulated spherical shell of inner radius a1 and
outer radius a2 has a charge density ρ=6r
C/m4.
(a) (2 pts.) Based on the symmetry of the situation, describe
the Gaussian surface (if any) that could be used to find the
electric field inside the spherical shell.
(b) (3 pts.) Starting from the definition of charge enclosed,
briefly derive the integral expression for the charge enclosed
inside a Gaussian surface within the insulated spherical shell for
the given charge density....
The small spherical planet called "Glob" has a mass of
6.50×1018 kg and a radius of 5.60×104 m. An
astronaut on the surface of Glob throws a rock straight up. The
rock reaches a maximum height of 1.64×103 m, above the
surface of the planet, before it falls back down.
-What was the initial speed of the rock as it left the
astronaut's hand? (Glob has no atmosphere, so no energy is lost to
air friction. G = 6.67×10-11
Nm2/kg2.)...
A
spherical shell of radius a has a uniform surface charge density σ
and rotates with a constant angular velocity ω in relation to an
axis that passes through its center. In this situation, determine
the magnetic dipole moment μ of the spherical shell.
A large sphere with radius R, supported near the earth's surface
as shown has charge density p(r) that varies as r^n (where n is
0,1,2..) for 0<r<R and reaches a max value of p as you get to
r=R. a non conducting uncharged string of length L with a second
tiny sphere of radius b, mass m, and excess charge q is suspended
from the large sphere as shown. suppose the string is cut gently
without otherwise disturbing the setup...