At what altitude h above the north pole is the weight of an object reduced to one-half of its earth- surface value? Assume a spherical earth of radius R and express h in terms of R.

A 4.4 kg mass weighs 35.64 N on the surfaceof a planet similar to Earth. The radius ofthis planet is roughly 6 × 10^6 m.Calculate the mass of of this planet. Thevalue of the universal gravitational constantis 6.67259 × 10^−11 N · m^2/kg^2.Answer in units of kg. Calculate the average density of this planet.Answer in units of kg/m^3.

A sphere of copper has a radius of 50.0 cm and a mass of 4690 kg.  A sphere of unknown metal has a radius of 30.0 cm.  The surfaces of the spheres are 20.0 cm apart.  The force of gravitational attraction between the two spheres is 0.372 mN.  What is the mass of the unknown metal?

A flywheel in the form of a uniformly thick disk of radius 1.53 m has a mass of 58.6 kg and spins counterclockwise at 141 rpm. Calculate the constant torque required to stop it in 3.25 min. N.m constant torque:

A planet is located at < - 3×1010, 8×1010, - 5×1010 > m. A star is located at < 8×1010, - 5×1010, 5×1010 > m.

(a) Based on the observations, determine the total mass M of the planet. (b) Which moon and planet of our solar system is the team observing? (Use literature.)

To complete this exercise, you need to know that the circumference of a circle is proportional to its radius, and that the constant of proportionality is 2π. You do not need to know either the radius of the Moon’s orbit or the radius of Earth. For purposes of this exercise, we assume that the Moon’s orbit around Earth is circular. In one trip around Earth, the Moon travels approximately 2.4 million kilometers. Another satellite orbits Earth (in a circular orbit) at a distance from Earth that is 1/4 that of the Moon. How far does this satellite travel in one trip around Earth? (Use decimal notation. Give your answer to one decimal place.) A rope is tied around the equator of Earth. A second rope circles Earth and is suspended 77 feet above the equator. How much longer is the second rope than the first?

Suppose you could pack neutrons (mass = 1.67 × 10-27 kg) inside a small ball of radius 0.026 m in the same way as neutrons and protons are packed together in the nucleus of an atom. (a) Approximately how many neutrons would fit inside the ball? (b) A small object is placed 3.7 m from the center of the neutron-packed ball, and the ball exerts a gravitational force on it. When the object is released, what is the magnitude of the acceleration that it experiences? Ignore the gravitational force exerted on the object by the earth.

The mean diameters of Mars and Earth are 6.9×10^3km and1.3×10^4km, respectively. The mass of Mars is 0.11 timesEarth's mass [Mass of Earth = 5.98×10^24kg]. What is: a)The ratio of the mean density (mass per unit volume) of Mars to that of Earth? b)The value of the gravitational acceleration on Mars? c)The escape speed on Mars?

The mass of a certain planet is 3.00 x 1026 kg. (a) The planet has a moon whose mean orbital radius is 2.90 x 108 m. What is the period of this moon? (b) The planet has a second moon whose period is 2.30 x 106 s. What is the mean orbital radius of this second moon? eBook