I am on a planet of mass M, the same as Earth, but it is twice the radius. Gravity operates as 1/r² law, so the gravity and acceleration I will experience on this planet will be:    1) twice that of earth  2) the same as earth  3) 1/4 that of earth  4) 1/2 that of earth

A landing craft with mass M is in a circular orbit a distance d above the surface of a planet. The period ofthe orbit is T. The astronauts in the landing craft measure the diameter of the planet to be D. The landing craft sets down at the north pole of the planet. a)What is the weight of a person of mass m as they step out onto the plant’s surface? b)Suppose days on this planet last t seconds (i.e. the planet rotates about its axis once every t seconds).Write an expression for the astronaut’s perceived weight at the equator in terms of their weight at the north pole. (Hint: think about centripetal force)

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Two asteroids are separated by a distance in space. One asteroid collides with a cluster of smaller ones which increases its mass by 2½ times. In the process the distance between the two asteroids decreases by ⅔. What is the change in the gravitational force between them? Express you answer as a factor of the original gravitational force.

Three uniform spheres of masses m₁ = 2.50 kg, m₂ = 4.00 kg, and m3 = 5.50 kg are placed at the corners of a right triangle (see figure below). Calculate the resultant gravitational force on the object of mass m₂, assuming the spheres are isolated from the rest of the Universe. 10-11 N (0, 3.00) m (-4.00, 0) m M₂ 0 m₁ F12 m₂

At their closest approach, Venus and Earth are 4.20 x 10 10 m apart. The mass of Venus is 4.87 x 10 × 10 24 point? 24 kg, the mass of Earth is 5.97 kg, and G = 6.67 x 10 -11 N. m 2/kg 2. What is the magnitude of the gravitational force exerted by Venus on Earth at that 6.30 x 1020 N 4.62 x 1028 N 1.10 x 1018 N 1.72 x 1019 N 5.43 x 1026 N

A 100 lb astronaut goes to planet X with mass 7 times the mass of earth and radius 8 times the earth's radius. What is his weight on planet X? 140 lbs O 12.5 lbs 10.9 Ibs 80 lbs 87.5 lbs