Earth is approximately a sphere of radius 6.37 x 106 m. What are (a) its circumference,...
Suppose an object is launched from Earth with 0.52 times the escape speed. How many multiples of Earth's radius (RE 6.37 x 106 m) in radial distance will the object reach before falling back toward Earth? The distances are measured relative to Earth's center, so a ratio of 1.00 would correspond to an object on Earth's surface. For this problem, neglect Earth's rotation and the effect of its atmosphere For reference, Earth's mass is 5.972 x1024 kg. Your answer is...
Exercise 22.19 A hollow, conducting sphere with an outer radius of 0.240 m and an inner radius of 0.200 m has a uniform surface charge density of +6.37 x 10-6 C/m². A charge of -0.500 μC is now introduced into the cavity inside the sphere. Part A What is the new charge density on the outside of the sphere?Part B Calculate the strength of the electric field just outside the sphere. Part CWhat is the electric flux through a spherical surface just inside the inner...
2. (50%) At an altitude RA = 4.30 × 106 m above the earth surface, the velocity of the space probe fired from earth has a magnitude of UA-32.5x 106 m/h and an angle of фА-600 with the radial direction. Find (a) the angular momentum per unit mass of the space probe, (b) the θ-component of the velocity, ve, as the probe passes through the point B at the altitude h 12.7 x 106 m above the earth surface. The...
Suppose that the magnetic dipole moment of Earth is 9.7 x 1022 ?/T (a) If the origin of this magnetism were a magnetized iron sphere at the center of Earth, what would be its radius? (b) What fraction of the volume of Earth would such a sphere occupy? The radius of Earth is 6.37 x 106 m. Assume complete alignment of the dipoles. The density of Earth's inner core is 14 g/cm3. The magnetic dipole moment of an iron atom...
Earth has a mass of 5.97 x 1024 kg and a radius of 6.38 x 106 m. Assume it is a uniform solid sphere. The distance of Earth from the sun is 1.50 x 1011 m. (Assume Earth completes a single rotation in 24.0 hours and orbits the Sun once every 365 Earth days.) (a) Calculate the angular momentum of Earth in its orbit around the Sun kg m2/s (b) Calculate the angular momentum of Earth on its axis kg...
Chapter 08, Problem 40 The earth has a radius of 6.38 x 106 m and turns on its axis once every 23.9 h. (a) What is the tangential speed (in m/s) of a person living in Ecuador, a country that lies on the equator? (b) At what latitude (i.e., the angle in the figure, in degrees) is the tangential speed 1/5 that of a person living in Ecuador? Axis of rotation Equato (a) Number (b) Number Units D Units
The earth has a radius of 6.38 x 106 m and turns on its axis once every 23.9 h. (a) What is the tangential speed (in m/s) of a person living in Ecuador, a country that lies on the equator? (b) At what latitude (i.e., the angle in the figure, in degrees) is the tangential speed 1/2 that of a person living in Ecuador? Axis of rotation Equator
The earth has a radius of 6.38 x 106 m and turns on its axis once every 23.9 h. Axis of rotation Equator (a) What is the tangential speed (in m/s) of a person living in Ecuador, a country that lies on the equator? m/s (b) At what latitude (i.e., the angle o in the drawing) is the tangential speed one-third that of a person living in Ecuador?
2. Assume the earth is a uniform sphere of mass M and radius R. (Its mass-density ρ--M/V is therefore constant.) a) Find the force of gravity exerted on a point mass m located inside the earth, as a function of its distance from the earth's centre. (You may make use of results derived in class for a thin spherical shell.) b) Find the difference in the gravitational potential energy of the mass, between the centre of the earth and the...
2. The earth has a radius of 6*106 m and makes a full revolution around its axis in 24 h. (i) Calculate the angular speed of the earth. ω = 7.3*10-5 s-1 (ii) Calculate the centripetal acceleration of one point on the surface of the earth (at the equator). ac = 0.03 m/s2 (for the records, about 3% of g) THE ANSWERS ARE IN BOLD, COULD YOU PLEASE SHOW THE WORKING NEEDED TO ACHIEVE THESE ANSWERS.