We learned in class that even though astronauts look like they are floating in space, they really are not weightless. Calculate the acceleration due to gravity of an astronaut on the International Space Station at an altitude of 402 km. (Remember that the radius needed is from the center of the Earth.)

(a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.75 x 1024 kg and its moon, with mass 2.20 x 1022 kg, if the average distance between their centers is 2.90 x 10° m. (b) What is the moon's acceleration (in m/s?) toward the planet? (Enter the magnitude.) m/s2 (c) What is the planet's acceleration (in m/s²) toward the moon? (Enter the magnitude.) m/s?

Problem 2:  An object with mass m1 = 42 kg is located at the origin. Another object with mass m2 = 86 kg is located at l2 = 0.105 m. Consider position la = 0.035 m between the two objects and along the axis connecting them. Refer to the diagram. The gravitational field of m1 is denoted by g1. Enter an expression for the gravitational field g1 at position la in terms of m1, la, and the gravitational constant G.  The gravitational field of m2 is denoted by g2. Enter an expression for the gravitational field of m2 at la in terms of m2, m1, la, l2 and the gravitational constant G.  Enter and expression for the total gravitational field at position la, g, in terms of the quantities defined in the problem.

A woman whose weight is 680 N on the Earth’s surface is in a spacecraft at an altitude above the Earth's surface equal to the radius of the Earth. Her approximate weight (in newtons) in the spacecraft is

a)find the magnitude of the gravitational force (in N) between a planet with mass 9.00 ✕ 1024 kg and its moon, with mass 2.20 ✕ 1022 kg, if the average distance between their centers is 2.20 ✕ 108 m.    =                           N b)What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.)  What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.)

You wonder about the motion of the ferris wheel. You estimate the radius to be 12 m and time one revolution to be 27s. What is the ratio of your weight at the top of the ride to your weight while standing on the ground? What is the ratio of your weight at the bottom of the ride to your weight while standing on the ground?

Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg and its moon, with mass 2.50 ✕ 1022 kg, if the average distance between their centers is 2.90 ✕ 108 m.  N (b) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.)  m/s2 (c) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.)  m/s2

You are watching a TV news program when they switch to some scenes taken aboard the space shuttle which circles 500 miles above the Earth once every 95 minutes.  To allow the audience to appreciate the distances involved, the announcer tells you that the radius of the Earth is about 4000 miles and the distance from the Earth to the Moon is about 250,000 miles.  When an astronaut drops her pen it floats in front of her face.  You immediately wonder how the acceleration of the dropped pen compares to the acceleration of a pen that you might drop here on the surface of the Earth.

Every few months, memes circulate claiming that certain alignments of the planets with the Earth will result in a change in the gravitational force you feel. Usually these memes state that the alignment will counteract Earth's gravity slightly so you will feel less of a gravitational pull towards the Earth. Can this ever happen? Let's look at the numbers. What is the gravitational force (in N) of the Earth on you (MĚ = 5.97 × 1024 kg, R₁ = 6380 km)? Say your mass is 64 kg. (Enter the magnitude.) What is the gravitational force (in N) of Jupiter on you when it is closest to Earth (M₁ = 1.90 × 1027 kg, R₁ = 5.88 × 108 km)? (Enter the magnitude.) By what factor would the mass of Jupiter need to increase to be equal to the gravitational force you feel from the Earth? Part 1 of 5 The gravitational force between two masses is given by -GMm r² where G = 6.67 x 10-11 m³/s²/kg. FgE Part 2 of 5 We can use this expression to determine the magnitude of the gravitational force you feel while on the…

(a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.75 x 1024 kg and its moon, with mass 2.50 × 1022 kg, if the average distance between their centers is 2.70 x 108 m. N (b) What is the moon's acceleration (in m/s²) toward the planet? (Enter the magnitude.) m/s² (c) What is the planet's acceleration (in m/s²) toward the moon? (Enter the magnitude.) m/s²