The flight from Cairo K = (30◦ N, 30◦ E) to Shanghai S = (30◦ N, 120◦ E) follows the shortest possible route, i.e. the surface of the Earth in the plane determined by the points O = origin = center of the Earth, K and S. a) Calculate the length of the route when the value 6,371 km is used for the radius of the Earth. b) How far north (latitude) does the airplane go during the trip?

a) A robin flies a distance of 45 963 cm. How far has it flown in kilometres?(b) What is the speed in metres per second of a car that is travelling at 82 km/h? (c) What is the speed in kilometres per hour of a  27.78 m/s baseball pitch?(d) How many seconds are there in a calendar year,  given that a calendar year has 365.24 days in it? T/I

Estimate the number of steps you would have to take to walk a distance equal to the circumference of the Earth. (We estimate that the length of a step for an average person is about 18 inches, or roughly 0.5 m. The radius of the Earth is 6.38 x 106 m.) 105 steps 108 steps 1011 steps 1015 steps O 1020 steps

A surveyor needs to find the distance across a straight river. Markers are set up at points A and B on opposite sides of the river (see diagram), and at point CC that is 290 feet from B, the angle C is measured and found to be 45∘19.8′You may assume angle B is a right angle. The distance from A to B is  feet.

A high tech company uses a satellite to measure the size of features on the surface of the earth. They use this technology to measure a particular rectangular field and find it's length to be 444 ± 1.8 in meters and it's width to be 198 ± 1.63 in meters. They plan to report the perimeter (sum of two lengths and two widths) of the field as P± SP in units of yards. (1 meter = 1.094 yards) What is SP?

Newton's universal law of gravitation can be stated as the force F of gravitation between two objects varies jointly as the masses m, and m, of the objects, and Gm,m2 inversely as the square of the distance r between their centers, where G is the constant of proportionality. In other words, F = The weight of an object is the force F on the object due to gravity, where F = mg. State how g (the acceleration due to gravity) varies with respect to the mass m, of the spherical body on which the object lies, and the radius of that body (assume all of the mass is at its center.). The acceleration due to gravity, g, varies as the spherical body's mass, and as

please answer parts E, F, and G

A bacteria colony which is unrestricted in its growth will grow out in a circular manner. The population ?(?) of the colony at time t is directly proportional to the area of the circle. Suppose that a particular bacteria grows in such a way that the population is 1.3 times larger each day, and that initially (t=0) the colony has a diameter of 4 centimeter and a population of 7 million. a) Find the Population and Diameter of the colony on the fifth day. b) Find the Rate of Change of the Population and Diameter of the colony on the fifth day. c) Unrestricted growth models are often impractical as values will quickly become unreasonable. On what day does our model predict that the area of the bacteria colony will be 1 square mile?

Schwarzschild radius RS of a black hole is the maximum distance from the black hole’s center at which light cannot escape its gravitational field. The quantity RS (with dimensions of length) is dependent on the mass of the black hole M, the speed of light c, and the gravitational constant G. Based on the dimensions of these four parameters, predict an equation for the Schwarzschild radius. Hint: G has dimensions of [L3/MT2]

I have tried 16.7x10^3, 16.7x10^4, and 1.365x10^8 and those are all wrong for the first part. I know that the second part is 14.3 hr. I need to know the km/s. Thank you!!