Newton's version of Kepler's third law is: P2 = 4 rử / [G (M, + M2)] × a°. The space shuttle orbits 278 km above the Earth's surface. How often do the astronauts see a sunrise (in minutes)?

Langleyville (43 degrees S, 77.6 degrees w) and Cajun Country (25 degrees s, 77.5 degrees w) have almost the same longitude, which means that they are roughly due north-south of each other.  Set up all the work to find the approximate distance in miles between the cities assuming the radius of the earth is 4000 miles.

Suppose a machine is invented to measure the amount of knowledge in a student’s head in units called “factoids.” One student is measured at F(t) = t³ − 6t² + 9t factoids at time t, where t is measured in weeks. a. Find the rate at which the student is gaining (or losing) knowledge as a function of time (be sure to give the units). b. During what time between t = 0 and 11 is the student losing knowledge? c. Sketch a graph of the function F(t).

I am unsure if I should determine how many miles equal a kilometer or how many miles per hour equal kilometers per hour. A car travels with an average speed of 35 MPH. What is this speed in km/h?

The meter is the standard unit of length for physics.  Which of these is the current way we define that standard?     Based on a metal bar serving as a length "standard " that is kept by the National Institute of Standards and Technology (NIST) in the U.S.     Based on the average distance from the Earth to the Sun.     Based on the diameter of the Earth.     Precisely how far light travels in 1/299792458 second.

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.

Part (a)  Calculate the Earth's average speed relative to the Sun in meters per second. Avg Speed of Earth = ______ Part (b)  What is the Earth's average velocity relative to the Sun over a period of one year in meters per second? v = ______

What acceleration must affect an object so that it can travel at 16.5 m/s in a circular path of circumference 61.5 m? (Units: ms2.) Please write only with 1 decimal place.

Suppose f(x,y,z) = Ax2 + Bxy + Cxyz2.   What is ▽f?

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?