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- (a) Find the magnitude of the gravitational force between a planet with mass 7.50 1024 kg and its moon, with mass 2.70 1022 kg, if the average distance between their centers is 2.80 108 m. (b) What is the acceleration of the moon towards the planet? (c) What is the acceleration of the planet towards the moon?The mass of the Earth is approximately 5.98 1024 kg, and the mass of the Moon is approximately 7.35 1022 kg. The Moon and the Earth are separated by about 3.84 108 m. a. What is the magnitude of the gravitational force that the Moon exerts on the Earth? b. If Serena is on the Moon and her mass is 25 kg, what is the magnitude of the gravitational force on Serena due to the Moon? The radius of the Moon is approximately 1.74 106 m.Mars has a mass of 6.39 × 1023 kg and radius 3.39 x 106 m. What is the magnitude of the gravitational acceleration g on Mars' surface, in m/s2? Use G = 6.67 x 10-11 N-m2/kg?. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
- 12. Which of the following statements is not correct? a. The weight of a body on Earth is a measure of the gravitational attraction of Earth on that Gravitational force is a scalar quantity because it has magnitude only. The gravitational mass of a body depends on its surroundings and altitude. d Weight and force have both magnitude and direction. Apod 13. Which of the following statements about gravitational force, F, is not correct? The gravitational force between two objects depends on their separation. b. Gravitational force is an attractive force only, it is never repulsive. C. Gravitational forces always exist in pairs of equal magnitude. P. Gravitational force is the strongest of the fundamental forces,In the future, we may encounter a civilization from another planet. They will not use the SI or AE systems of units. Suppose we meet aliens who use the Zerf as a unit of mass and the Spund as a unit of force. One Spund is the weight of a mass of one Zerf on the surface of Mars. The gravitational acceleration on Mars is 3.7 m/s2. a.) What is gc in the alien system of units? Be sure to include the numerical value and the units. b.) How much would a 350 Zerf object weigh on the surface of Mars, in Spunds?In the future, we may encounter a civilization from another planet. They will not use the SI or AE systems of units. Suppose we meet aliens who use the Zerf as a unit of mass and the Spund as a unit of force. One Spund is the weight of a mass of one Zerf on the surface of Mars. The gravitational acceleration on Mars is 3.7 m/s2. a.) What is gc in the alien system of units? Be sure to include the numerical value and the units. b.) How much would a 350 Zerf object weigh on the surface of Mars, in Spunds? c.) How much would a 350 Zerf object weigh on the surface of the Earth, in Spunds? d.) To which system of units is the Zerf-Spund system most similar, SI or AE?
- The center of a moon of mass m = 8 × 1023 kg is a distance D = 97 × 105 km from the center of a planet of mass M = 10.9 × 1025 kg. At some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero. a. Derive an expression for x. b. Calculate x in kilometers, given the variables in the beginning of the problem.At what altitude above Earth's surface would the gravitational acceleration be 1.50 m/s²? (Take the Earth's radius as 6370 km.) Number i UnitsYou have landed on a strange planet. The computer says its radius is 6.9 x 10 m. You jump, and find the acceleration due to gravity is 26.8 m/s. What is the mass of the planet in Yotta kilograms? (Hint: 1 Ykg 1 x 1024 kg) %3D
- The gravitational force between two people is found to be 5.9 x 10-11 N. What would the gravitational force be between the two people if person A's mass is decreased to 1/3 the original value, person B's mass is increased to 3/2 of the original mass, and the separation distance between them is increased by a factor of 2? Expressed in scientific notation, is a.b x 10 cd N. The values for a, b, c, and d are J 1 E X $ 4 R C C F5 de Lo % 5 a DA F6 6 T Y ✈ ? & 7 U F8 * 1 8 F9 2 F10 ( 93 O and F11 ) 0 1/4 § P F12 PrtSc Impr. Écr. 1/2 + 11 Insert Ins = 3/4 [[A Delete Suppr. 11>You have landed on a strange planet. The computer says its radius is 4 x 107 m. You jump, and find the acceleration due to gravity is 31.6 m/s2 . What is the mass of the planet in Yotta kilograms? (Hint: 1 Ykg = 1 x 1024 kg) %3DWhich of the following statements are true about gravitational force? Identify all that apply. The gravitational force only acts between very, very massive objects. The gravitational force between an object and the earth is inversely related to the distance between the object's and the earth's center. The gravitational force can ALWAYS be accurately calculated by multiplying the object mass by the acceleration of gravity (m•g). The gravitational force acting upon an object is the same as the weight of the object. The gravitational force between two objects is independent of the mass of the smaller of the two objects. If object A gravitationally attracts object B with a force of X Newtons, then object B will also gravitationally attract object A with the same force of X Newtons. The doubling of the separation distance (measured from the center) between two objects will halve the gravitational force between the objects. It an object is placed two earth-radii above the surface of the…