The moon orbits the earth at a distance of 3.85 x 10^8 m. Assume that this distance is between the centers of the earth and the moon and that the mass of the earth is 5.98 x 10^24 kg. Find the period for the moon's motion around the earth. Express the answer in days and compare it to the length of a month.

While constructing a space platform a 116kg robot finds itself standing on a 24m long 205 kg steel beam that is motionless with respect to the platform. Using its magnetic feet it walks along the beam traveling south at 2.45m/s. What is the velocity of the beam with respect to the platform as the robot walks?

What is the free fall acceleration in a location where the period of a 2.15 m long pendulum is 2.94s? Answer in units of m/s2. The answer must be written within + or - 0.14%

A particle of mass m moves under the influence of gravity along the helix
Z = K* (theta), r = constant
where K is constant and Z is vertical.
Obtain the Hamiltonian equations of motion.

You need to know the height of a tower, but darkness obscures the ceiling. You note that a pendulum extending from the ceiling almost touches the floor and that its period is 12s. The acceleration of gravity is 9.81 m/s2. How tall is the tower in units of m?

Please help with the following problem.
You are standing on a balcony 30 feet off the ground. You want to throw your key to someone on the ground. You throw it angled upward with initial velocity of 55 ft/sec. assume that the acceleration due to gravity is -32 ft/sec/sec.
A) find the position function in terms of time, t.

Please show all the work.
1. Determine the density of energy in a point if v=15m/s and P=30N/cm2 for a liquid with ѳx=1.4(specific gravity).
2. A hollow sphere with R (exterior) = 10cm and r (interior) = 8.5cm, floats in water with 30% of its volume submerged. Determine the specific gravity of the material of the spher

Linear motion
A model of a helicopter rotor has four blades, each of length 3.10 m from the central shaft to the blade tip. The model is rotated in a wind tunnel at a rotational speed of 490 rev/min.
A) What is the linear speed of the blade tip?
B) What is the radial acceleration of the blade tip expressed as a multiple

Circular motion and Gravitation -
1. A car is traveling at 20 mi/h on a level road where the coefficient of static friction between the tires and the road is 0.8. Find the minimum turning radius of the car.
2. The acceleration of gravity on the surface of Mars is 0.4 g. How much will a person weigh on the surface of Mars i