m, m2

Problem#2 Given: Newton’s Gravitational Law states that the force, F, between two bodies with masses m1 and m2, respectively, is given by: F=G(m1m2/r2) where G is the universal gravitational constant, and r is distance between the two bodies. Required: Calculate the gravitational force between two humans of mass 50 kg and 100 kg who are 2, 4, 6, 8, and 10 m

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 space probe is launched from Earth headed for deep space. At a distance of 10,000 miles from Earth's center, the gravitational force on it is 510 lb. What is the size of the force when it is at each of the following distances from Earth's center? (a) 20,000 miles Ib (b) 30,000 miles Ib (c) 100,000 miles Ib

2. Three masses are located in the corners of an equilateral triangle. Find the magnitude and direction gravitational field at the center of the triangle. Given: m1 = 22 kg, m2 = 30 kg, m3 = 30 kg, r= 12 cm. G = 6.674 x 10-11 N•m2/kg2.   3. Four masses are at the vertices of a square. Find the magnitude of the gravitational force on the mass m1. Given: m1 = 6 kg, m2 = 80 kg, m3 = 80 kg, m4 = 80 kg, r = 24 m. G = 6.674 x 10-11 N•m2/kg2.   4. Four masses are located in the corners of a square. Calculate the magnitude and direction of the gravitational field at the center of the square. Given: m1 = 85 kg, m2 = 3 kg, m3 = 3 kg, m4 = 85 kg, r = 8 m. G = 6.674 x 10-11 N•m2/kg2.   5. Two masses m1 = 350 kg and m2 = 350 kg are at a distance of 22  m from each other. Find the magnitude and direction of the gravitational field at a point A. Data: h = 9m, G = 6.674 x 10-11 N•m2/kg2

Problem#2 Given: Newton’s Gravitational Law states that the force, F, between two bodies with masses m1 and m2, respectively, is given by: F=G(m1m2/r2) where G is the universal gravitational constant, and r is distance between the two bodies. Required: Calculate the gravitational force between the Earth and the Moon for an average distance of 385,000 km. Calculate the gravitational force between the Earth and the Sun, and the Earth and Jupiter.

a) 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…

Question 1 The Oort Cloud extends out to (possibly) one light- year from the sun. Objects in the Oort Cloud are still gravitationally bound to the sun. Suppose one such iceball orbits the sun in a circle. I'm going to alter some numbers, such as the mass of the sun and even G. The gravitational force is directed toward the sun and has the following magnitude: GMm p2 Calculate the force on the object if these are the numbers: G = 5.1*10-11 N*m?/kg² • M = 2.4*1030 kg • m = 1.0*10® kg r = 7*1015 m Calculate your answer in microNewtons (10-6 N).

Two spherical objects have masses of 8000 kg and 1500 kg. Their centers are separated by a distance of 1.5 m. Find the gravitational attraction between them. А) 5.4X 10-4 N B 1.2 X 107 N 5.33 N D 3.6 X 10-4 N

Chapter 04, Problem 029 2 Your answer is partially correct. Try again. The drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles are to the right. Find the net gravitational force, including sign, acting on (a) particle A, (b) particle B, and (c) particle C. ma = 322 kg, mp = 589 kg, and m. = 185 kg. Take the positive direction to be 0.500 m 0.250 m (a) Number 0.00005796 UnitsTN (b) NumberTo.00006568 Units (c) Number12.335 Units