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 distance between the centers of the two objects be 58 m. FG = _____ (Units)

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 distance between the centers of the two objects be 58 m. FG = ___ (Units)

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4) A planet that has a hollow core consists of a uniform spherical shell with mass M, outer radius R, and inner radius R/2. Letr be the distance from the center of the planet. a. Derive an expression for the gravitational force on a small mass as a function of r when it is moving outside the planet. b. Find the period T of a satellite if it orbits very near the surface of the planet. c. Derive an expression for the gravitational force on a small mass as a function of r when it is moving inside the planet. d. Given the potential energy of an object is described by the formula: U(x,y) = a(x² + y²) + bxy, where a and b are positive constants. Find the x component of the applied force.
5. Two objects, with masses m1 and m2, are originally a distance r apart. The gravitational force between them has a magnitude F. The second object has its mass changed to 6m2, and the distance is changed to r/3. What is the ratio between the magnitude of the new gravitational force and F?(G = 6.67 a numerical value. 10-1N.m2/kg2). You must type your answer a f60 ssfc 160 ssi 0 ssf60
We all know the Earth exerts gravity on us, but other objects in the solar system also pull on us. In the following series of problems we will investigate how strong gravity is for a person standing on the surface of the Earth from various objects in the solar system. You can answer the following series of questions using Newton's Law of Gravity; use the units given and the Gravitational Constant, G = 6.67 ×10 -11 m 3 /kg/s 2 11: When Jupiter is on the same side of the Sun as the Earth the distance between the Earth and Jupiter can be as small as 6.30×1011m . Knowing this, what is the maximum force of gravity due to Jupiter on a 60.0 kg ASTR 110 student standing on the equator during Spring Break. DATA: Mass of Jupiter = 1.90×1027 kgusing the right formula: Fg = (G M1 M2 / d^2)
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a and b
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