1. Consider two in contact spherical objects with 200mm diameter. If the density p of the spherical object is 7,800kg/m³, at what distance r measured from the center of earth will the force of mutual attraction between the contacting spheres be equal to the force exerted by the earth on one of the spheres? 3x10-11 N. ME = 5.9742X10² kg G=6.673x10-11 N
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![1. Consider two in contact spherical objects with 200mm diameter. If the density p of the spherical object is
7,800kg/m³, at what distance r measured from the center of earth will the force of mutual attraction
between the contacting spheres be equal to the force exerted by the earth on one of the spheres?
G=6.673x10-11 N Me 5.9742X1024kg](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2625834f-1dde-4b45-9a60-afd613727897%2Ff17f649f-f228-4213-97e0-bf5c55e526b4%2F94i9ir_processed.jpeg&w=3840&q=75)
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- a) Observations and trigonometry can be used to determine that Earth's moon has an orbital period of 27.32 days and a mean orbital radius of 384,400 km. Using this information, calculate the mass of the Earth. 2 M = 47² ² 2 C M= 4+1 (30214100000) 667 eA person weighing 260 lbs on the surface of Earth exerts the same force on a bathroom scale on the surface of Planet X whose mass is 1.9 x Earth's mass. Assume the average density of Earth is 5488 kg/cu.m. determine the density of Planet X in kg/cu.m.1. Every particle in the universe attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between them. This force acts along the line joining the two particles. The magnitude of the gravitational force can be written as 2. A 87-kg person and a 78-kg object are near each other. Estimate the magnitude of the gravitational force each exerts on the other. APPROACH This is an estimate: we let the distance between the centers of the two objects be 41.0 m. FG = _____ (Units) 3. A 83-kg person and a 61-kg object are near each other. Estimate the magnitude of the gravitational force each exerts on the other. APPROACH This is an estimate: we let the distance between the centers of the two objects be 39 m. FG = _____ (Units 4. A 65-kg person and a 75-kg object are near each other. Estimate the magnitude of the gravitational force each exerts on the other. APPROACH This is an estimate: we let the…
- Help me to solve this problem step by step and give answer as a 3 significant figuresa) i. b) i. Define gravitational field strength at a point. Determine the mass of the Earth assuming that it is a uniform sphere of radius 6378 km and that the gravitational field strength at the Earth's surface is 9.81 N kg¹¹. Determine the average density of the Earth. iii. Use the mass of the Earth as calculated in part b)i to determine the gravitational field strength due to the Earth at a distance of 3.5 x 108 m from the centre of the Earth. ii. iv. Consider a point X a distance of 3.5 x 108 m from the centre of the Earth and which lies on the line joining the centre of the Earth to the centre of the Moon. c) i. ii. At X the gravitational field strength due to the Moon is equal but opposite to that of the Earth. The mass of the Moon is 7.4 x 10²2 kg. Determine the distance from the centre of the Moon to X and hence determine the distance between the centres of the Earth and Moon. Determine the time in Earth years for the planet Jupiter to complete one orbit of the Sun. Take 1…3. The gravitational acceleration at Earth's surface (ga) is about 10 m/s? and ge = GM/R2. What is g, at the surface of a planet with 2X Earth's mass and 3X Earth's radius?
- I-C.6. Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is F where G is the gravitational constant and r is the distance between the bodies. (a) Find dF/ dr and explain its mean. What does the minus sign indicate? GmM r2 (b) Suppose it is known that the earth attracts an object with a force that decreases at a rate of 1N/km when r =15,000 km. How fast does this force change when r = 5,000 km?You encounter a strange cosmic string in outer space. The string extends along the x axis from x = 0 m to x = 4.6 x 104 m. You are located at x = -5.4 x 104 m. You experience a gravitational field equal to 9.6 x 10-6 N/kg at this location. Assuming the string has a constant linear mass density, calculate this linear mass density, in units of 105kg/m. Use G = 6.7 x 10-11 N m2/ kg2. (Please answer to the fourth decimal place - i.e 14.3225)
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