Newton's Law of Gravitation can be used to show that if an object weighs w pounds on the surface of the earth, then its weight at a distance x from the center of the earth is W(x) = "* (for x > R), where R = 3960 miles is the radius of wR? x2 the earth. Estimate the weight loss per mile of altitude gained for a 205-lb pilot at an altitude of h. (Use decimal notation. Give your answer to five decimal places.)

In the year 25 000 the Earth is 1.42x101 m away from the sun and in a circular orbit, but a year remains 365 days long. Part A Calculate the mass of the sun in the year 25 000. ΑΣΦ ? msun = kg

In this problem you will measure the gravitational constant in a series of “observational experiments,” making use of Newton’s law of gravitation and second law of motion as well as Kepler’s third law of planetary motion Suppose a rocket is launched as described in part (d) with an initial speed of vi = 494 m/s and attains a peak altitude of H = 12.7 km above the surface of Earth. Taking ME = 5.95×1024 kg and Ri = 6.41×106 m, what is the measured value of the gravitational constant, in units of N⋅m2/kg2?

Please answer question 1