Basic Physics (Tension; Displacement; Force etc.)

A 230kg crate hangs from the end of a rope of length L-12.0m. You push horizontally on the crate with a varying force F to move it distance d=4.00m to the side (see attached picture). (a) what is the magnitude of F when the crate is in this final position? During the crate's displacement, what are (b) the total work done on it, (c) ... **Please see attachment for diagram and complete question.

Universal Gravitational Constant G

Please Show all work with answer!!! An apple (m=0.20 kg) falls to the earth. Determine (a) the apple's acceleration towards the earth; (b) the earth's acceleration towards the apple. (c) Discuss the appropriate reference frames in which to determine the accelerations in (a) ansd (b).

Universal Gravitational Constant G

Compute the gravitational force between the sun (M=1.99 x 10^30 kg) and the planet Uranus (m=14.5 ME , orbital radius r=19.2 AU).

Univer. Gravit. Constant G

Please Show all work with answer please!! Calculate the mass of the sun from the radius of the earth's orbit (1.5 x 10^11 m)., the earth's period in its orbit, and the gravitational constant G. (b) What is the density of the sun and how does it compare with the density of the earth? (The sun's radius is 6.96 x 10^ 8 m).

Universal Grav. Constant G

(a) Show that the speed of a satellite in orbit just above the surface of a planet of density ρ is proportional to the radius of the planet. (b) Imagine a small planet with the same density as the earth. What would be its radius if a sprinter capable of running 100 m in 10 s could launch herself into orbit just by running?