Earth is a spherical body, of radius 6,376km, which completes a full rotation about its axis in 24h. How long (in hours) should the day on Earth be so that a person at the equator is able to float freely above the ground? 3.Three lead spheres, of mass 10kg each, are located at three corners of a square of side length 45cm, (figure uploaded below). A bead is released at the forth corner. By considering the gravitational forces among the four objects only, determine the magnitude and direction of the acceleration of the bead when released.

1 Base your answer to the question on the information below and knowledge of physics. your On a flat, level road, a 1500-kilogram car travels around a curve having a constant radius of 45 meters. The centripetal acceleration of the car has a constant magnitude of 3.2 meters per second squared. Calculate the car's speed as it travels around the curve. [Show all work, including the equation and substitution with units.]

question 2a please

Hint 1 Two planets orbit in circular orbits around a star have speeds of 11v (planet A) and 2v (planet B). Express your answers in fractional form, simplified as much as possible. a. What is the ratio of the orbital radii of the planets? TB TA b. What is the ratio of their periods? Рв PA =

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A spaceship in outer space has a doughnut shape with 500-m outer radius. The inhabitants stand with their heads toward the center and their feet on an outside rim, as shown in(Figure 1). Part A Over what time interval would the spaceship have to complete one rotation on its axis to make a bathroom scale have the same reading for the person in space as when on Earth's surface? Figure Express your answer with the appropriate units. HA T = Value Units Submit Request Answer Part B Complete previous part(s)

If we were to design a space station for long term habitation by humans, we will need to find some way to replicate the force of gravity on the station. Without this artificial gravity, human growth would be stunted and biological functions will break down. One method of creating artificial gravity is by designing your cylindrically shaped and having it rotate. Human beings can then walk on the inside of the outer edge of the cylinder. (See the diagram below) Let's assume that your space station has a diameter of D = 2535 m such that it is large enough that the curvature is not noticeable by the inhabitants. How many minutes will it take for the space station to spin one complete revolution in order for the artificial gravity to be equivalent to that of earth? IMM5740 2-UJ6ODS.pdf Open file search 112 pause breo 18 19 F10 LEI 14 E38 & 9 R T Y K 00 16 5

Suppose you are standing within the rim of a circular space station, in outer space. The rim revolves around the center of the space station at a speed of 300 (m/s). If the radius of the station is 3,000 (m). 1.) Draw and label a diagram for this case. 2.) What is the rotational speed of the space station? 3.) From the equation a = V^2/r (a = simulated gravity/acceleration), calculate the acceleration (a) at the rim. 4.) From the equation Fc = [m(V^2)]/r, calculate the centripetal force Fc assuming the mass of the station is 5,000(kg).

Part A Kepler's Third "Law" states that the square of the orbital period of a planet (T) is proportional to the cube of the planet's average orbital radius (r), T² = kr³, where k is the proportionality constant connecting T2 and We can derive Kepler's Third "Law" and show that k = 4/Gmgun, where G is the universal gravitational constant and msun is the mass of the sun, by %3D preventing a global thermonuclear war before it ruins our day and then binge watching the first ten seasons of the Walking Dead on Netflix. setting the acceleration due to gravity at the surface of the planet equal to the acceleration due to gravity at the surface of the sun. O setting the mutual gravitational force between the planet and the sun, Gmplanetmsunr, equal to the centripetal force acting on the planet. O stealing Robert Hooke's undeveloped idea that the mutual attractive force between the planet and the sun is proportional to 1/2. convincing ourselves that planets in circular orbits are actually in…