Question

Planet Zeta-7 has a surface gravitational acceleration of 1.84 m/s² and a surface escape velocity of 2.75 km/s. Planet Alpha-9 has a mass that is 2.3 times that of Zeta-7 and a radius that is 3.1 times that of Zeta-7. What is escape velocity from the surface of Alpha-9?

Answer #1

The gravitational acceleration on Earth is g=9.8 m/s2. Consider
a planet outside the solar system that has a mass 4 times larger
than that of Earth and a radius that is also 4 times larger than
that of Earth. Estimate the gravitational acceleration (in m/s2) on
that planet.

To learn to use conservation of energy with the Newtonian form
for gravitational potential energy. Planet X, a planet with no
atmosphere, has a radius of 5.00×106 m and an unknown mass. You
drop an object from rest from a distance of 400 km above the
surface and find that it has a speed of 3010 m/s just before it
hits the ground.
Solve for the mass of planet X.

(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

Consider a spherical, homogeneous planet with a radius of
rp=3985 km and a mass of mp=8.97×1024 kg. A spherical object with a
radius of r0=9.21 m and mass m0=868 kg approaches the planet.
Part 1) When the object is 5.33×109 km away from the planet,
what is the magnitude of the force the planet exerts on the object?
F= N
Part 2) When the object is 8.10 m above the surface of the
planet, what is the magnitude of the...

Suppose that the gravitational acceleration on a certain planet
is only
7.3 m/s2. A space explorer standing on this planet
throws a ball straight upward with an initial velocity of 11.2
m/s.
(a) What is the velocity of the ball 4.9 seconds after it is
thrown?
To indicate direction, remember up is positive and down is
negative.
(b) How much time elapses before the ball reaches the high point of
its flight?
(c) What is the highest point of the...

A planet has a mass about 16 times the Earth's mass, and its
radius is equal to about 4.5 Earth's radius.
(a) By setting up ratios with the corresponding Earth values,
find the acceleration due to gravity at the surface of the
planet.
(b) Ignoring the rotation of the planet, find the minimum escape
speed from the planet.

Calculate the escape velocity (Unit 18) from a white dwarf and a
neutron star. Assume that each has 1.7 M⊙ . Let the white dwarf's
radius be 2.71 × 104 km and the neutron star's radius be 15 km. The
escape velocity from a white dwarf is _______ × 10^6 m/s. The
escape velocity from a neutron star is _______× 10^6 m/s.

A planet has been discovered around a Sun-like star with an
estimated mass of 54.3 times the Earth\'s mass and an estimated
radius of 15.1 times the Earth\'s radius. It has been hypothesized
that the planet has abundant hydrogen in its atmosphere. In order
for the planet to maintain a hydrogen atmosphere for a significant
amount of time, the planet\'s temperature must be less than some
maximum temperature. Recall that the mass of Earth is 5.97 × 1024
kg and...

(A) Calculate the acceleration of gravity,
gC, on Ceres
Apply the kinematics displacement equation to the falling
rock.
(1)
Δx = 1/2at2 +
v0t
Substitute Δx = -10.0 m, v0 = 0,
a = -gC, and t = 8.06 s, and
solve for the gravitational acceleration on Ceres,
gC.
-10.0 m = -1/2gC(8.06 s)2 →
gC = 0.308 m/s2
(B) Find the mass of Ceres.
Equate the weight of the rock on Ceres to the gravitational
force acting on the...

15) The Earth's surface gravity famously has a value of about
g=9.8 m/s2. Use the Law of Equilibrium to figure out the
gravitational acceleration in low orbit, at an altitude of about
1700 km. The Earth's mass is about 6×1024 kg and its radius is
about 6.4×106 meters. Answer:
16) Imagine a planet whose surface gravity is only a seventh. If
its radius is 9.14×105 m, what is the planet's mass? Answer:

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