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.
1. Show by algebraically reasoning that your gravitation acceleration towards an object of mass M a distance d away is a=GM/d^2 and therefore doesn't depend on your mass. 2. Can a satellite coast in a stable orbit in a plan that doesn't intersect the earth center? Defend your answer. (Include 1 or more diagrams) 3. Stude
Four bricks are to be stacked at the edge of a table, each brick overhanging the one below it, so that the top brick extends as far as possible beyond the edge of the table. (a) To achieve this, show that successive bricks must extend no more than (starting at the top brick)1/2, 1/4, 1/6, and 1/8 of their length beyond the one b
Three coplanar forces act on a 75000.0 kg object in outer space, where there is no gravity: 14.2 kN directed at 357°, 25.6 kN at 138°, and 16.4 kN at 255°. What is the magnitude and direction of the acceleration? If the object has an initial velocity of 17.5 miles/h directed at 58.6° in the same plane as all three
SEE ATTACHMENT #1 for a diagram showing parameters. Consider the earth, mass M= 5.98 E 24 kg, and the moon, mass m= 7.35 E 22 kg, as a system with distance d= 3.84 E 8 m between their centers. Find the distance between the c.m. (center of mass) of the system, and the point where the gravity field of the earth cancels that
SEE ATTACHMENT #1 for a diagam showing parameters and basic equations (1) and (2). A thin rod of negligible mass is 6 meters long. Five equal masses, each M= 2.5 kg, are attached to the rod evenly spaced 1.2 meters apart. In gravity free space, the system rotates about the center of the rod, completing 15 revolutions every 6
A) Very often a sinking ship will turn over as it becomes immersed in water. Why? B) Is it true that a floating object will only be in stable equilibrium if its centre of buoyancy lies above its centre of gravity? C) Why should one take short steps rather than long ones when walking on ice?
A simple pendulum, length L, completes 12 oscillations in 30 seconds here on the earth where g= 9.8 nt/kg. The same length pendulum on a certain moon of Jupiter, completes 18 oscillations in 54 seconds. a.) Find the acceleration of gravity, g1, on that moon. b.) Find the weight on the surface of that moon, of a person w
See attachment #1 for diagram showing parameters. A uniform spherical planet has mass M= 8.5 E 25 kg and radius R= 7.5 E 6 m. A hole is drilled from the surface to mass m= 360 kg at an initial position r1= 2.5 E 6 m from the center. PART a. Find the initial gravity force F that the planet exerts on mass m. PART b. F
Show that the gravity field of a spherical shell of matter is zero at all points within it.
See attached file. Assume the earth to be a uniform spherical planet, mass M= (5.98 E 24) kg. (The number, in scientific notation, means '5.98 times 10 to the 24') The earth's radius is R= (6.37 E 6) m. Part a. Find the force of gravity between the earth and a spacecraft whose mass is m= 36000 kg, which is at height h=
1a) A venturi meter has 0.02556m^3 of flow per second through its 45mm dia throat.If the pipe is 58mm in diameter,what will the differential reading of mercury across it be? b)A metal sphere 60mm in dia is submerged in oil with a relative density of 0.9.Need to find the density of the sphere.There is a downward force of 8.31N wh
1a) A venturi meter has 0.02556m^3 of flow per second through its 45mm dia throat.If the pipe is 58mm in diameter,what will the differential reading of mercury across it be? b)A metal sphere 60mm in dia is submerged in oil with a relative density of 0.9.Need to find the density of the sphere.There i
A lunch tray is being held in one hand. The mass of the tray itself is .200 kg, and its center of gravity is located at its geometrical center. on the tray is a 1.00 kg plate of food and a .250kg cup of coffee. obtain the force T exerted by the thumb and force F exerted by the four fingers. Both forces act perpendicular to the t
Imagine that you have a solid cube composed of Material X. You put the cube into a beaker filled with water. The cube sinks to the bottom of the beaker and sits there, at rest, on the bottom. Which of the following statements are true? (Give ALL correct answers: B, AC, BCD, ... , or None) A) The buoyant force on the cub
A small block slides from rest from the top of a frictionless sphere of radius R. How far below the top of the sphere does the block lose contact with the sphere? The sphere does not move. Gravity is acting on the block.
A ball is thrown straight upward and rises to a maximimum height of 16m above its launch point. At what height above its launch point has the speed of the ball decreased to 1/2 its initial value?
Why can't a person just walk or run up a wall? What is keeping them from performing this task? Which formula, would best describe what is going on?