4) The acceleration due to gravity at the surface of a planet of mass M, radius R, is given by the expression, g = GM/R?. a) Mars's diameter is about .5 what earth is and the mass is about .1 that of earth, what would g be in m/s? ? 0 = 24.5m/s2 Gravity can be simulated by rotating a hollow cylinder, that rotation simulates gravity by its centripetal acceleration. If you were standing on the inside of the cylinder the acceleration would push your feet against the wall with your head pointing to the center. If the radius of the cylinder is 300 m. b) What speed v should the rotation be in order to give you the same feeling as if you are standing on Earth?

4) The acceleration due to gravity at the surface of a planet of mass M, radius R, is given by the expression, g = GM/R?. a) Mars's diameter is about .5 what earth is and the mass is about .1 that of earth, what would g be in m/s? ? 0 = 24.5m/s2 Gravity can be simulated by rotating a hollow cylinder, that rotation simulates gravity by its centripetal acceleration. If you were standing on the inside of the cylinder the acceleration would push your feet against the wall with your head pointing to the center. If the radius of the cylinder is 300 m. b) What speed v should the rotation be in order to give you the same feeling as if you are standing on Earth?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter13: Gravitation

Section: Chapter Questions

Problem 86CP: Using Figure 13.9, carefull sketch a free body diagram for the case of a simple pendulum hanging at...

See similar textbooks

Similar questions

Two double stars, one having mass 1.0 Msun and the other 3.0 Msun, rotate about their common center of mass. Their separation is 6 light years. What is their period of revolution?
On a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?
Using Figure 13.9, carefull sketch a free body diagram for the case of a simple pendulum hanging at latitude lambda, labeling all forces acting on the point mass,m. Set up the equations of motion for equilibrium, setting one coordinate in the direction of the centripetal accleration (toward P in the diagram), the other perpendicular to that. Show that the deflection angle , defined as the angle between the pendulum string and the radial direction toward the center of Earth, is given by the expression below. What is the deflection angle at latitude 45 degrees? Assume that Earth is a perfect sphere. tan(+)=gg2REtan , where is the angular velocity of Earth.
Estimate the gravitational force between two sumo wrestlers, with masses 220 kg and 240 kg, when they are embraced and their centers are 1.2 m apart.
Following the technique used in Gravitation Near Earth’s Surface, find the value of g as a function of the radius r from the center of a spherical shell planet of constant density with inner and outer radii Rin and Rout . Find g for both eq and for RinrRout . Assuming the inside of the shell is kept airless, describe travel inside the spherical shell planet.
The Sun’s mass is 2.01030kg , its radius is 7.0105km , and it has a rotational period of approximately 28 days. If the Sun should collapse into a white dwarf of radius 3.5103km , what would its period be if no mass were ejected and a sphere of uniform density can model the Sun both before and after?
Check Your Understanding By what factor must the radius change to reduce the orbital velocity of a satellite by one-half? By what factor would this change the period?
Check Your Understanding Assume you are in a spacecraft in orbit about the Sun at Earth’s orbit, but far away from Earth (so that it can be ignored). How could you redirect your tangential velocity to the radial direction such that you could then pass by Mars’s orbit? What would be required to change just the direction of the velocity?
An object of mass m is launched from a planet of mass M and radius R. a)Derive and enter an expression for the minimum launch speed needed for the object to escape gravity, i.e. to be able to just reach r = ∞. b)Calculate this minimum launch speed (called the escape speed), in meters per second, for a planet of mass M = 6 × 1023 kg and R = 76 × 104 km.
A 1.07 kg mass is at the center of a uniform spherical shell of mass 1.06 * 10 ^ 20 * kg and radius 1.02 * 10 ^ 6 * m Find the resultant gravitational force on the mass? Also find the resultant gravitational force of the mass if it is placed just outside the shell? Magnitude? Direction? Find the value of g just outside the shell?
Compared to the strength of the Earth’s gravity at its surface where r = Re and Re is the radius of the Earth, how much weaker is gravity at a distance of 5Re? 15Re?
An object of mass mm is launched from a planet of mass MM and radius RR. a) Derive and enter an expression for the minimum launch speed needed for the object to escape gravity, i.e. to be able to just reach r=∞. b) Calculate this minimum launch speed (called the escape speed), in meters per second, for a planet of mass M=2.73×1023kg and R=86.2×103km.