Two bodies A and B of masses m, = 1 kg and 16 kg respectively are placed 1.0 m apart. A third body C of mass m= 3 kg is placed on the line joining A and B. At what distance from A should C be placed so that it experiences no gravitational force? m 2
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- An object of mass, M is dropped near the surface of the earth such that the gravitational field provides a constant downward force on the object. What happens to the center of mass of the earth-object system as the objects falls towards the earth? Does it A) it moves towards the center of the earth or B) It moves away from the center of the earth C) It does not moveA 230-kg object and a 530-kg object are separated by 3.90 m. (a) Find the magnitude of the net gravitational force exerted by these objects on a 65.0-kg object placed midway between them. N (b) At what position (other than an infinitely remote one) can the 65.0-kg object be placed so as to experience a net force of zero from the other two objects? m from the 530 kg mass toward the 230 kg masspls help
- NEXT Chapter 04, Problem 032 Chalkboard Video A spacecraft is on a journey to the moon. At what point, as measured from the center of the earth, does the gravitational force exerted on the spacecraft by the earth balance that exerted by the moon? This point lies on a line between the centers of the earth and the moon. The distance between the earth and the moon is 3.85 × 108 m, and the mass of the earth is 81.4 times as great as that of the moon. moon m earth emA binary star consist of two stars of the same mass m revolving in a circle of radius R about their common centre of mass. Suppose that a meteorite passes through the centre of mass of the binary star in a direction perpendicular to the orbital plane. What is the minimum speed that the meteorite must have at the centre of mass in order for it to escape from the gravitational attraction of the binary star? ANSW: 4Gm R wG = 6.67 ×10 -11 m 3 /kg/s 2 Some people claim that the location of Jupiter can have dramatic consequences on human events on Earth. For comparison to the last problem, what is the force of gravity due to a 100 kg person hugging a 60.0kg ASTR 110 student. Assume the distance between the students is 0.3 meters.
- Answer both questions pleaseV h | "1470-24 g plates A particle of mass m is moving along the +x-axis with constant speed vo. At time t = 0 it enters a region between two plates which are separated by a distance h and lie in the x - z plane as shown in the figure. The figure is a side view of the plates with the +z axis pointing out of the screen. After entering the region between the plates, the particle is acted on by both gravity (which points in the -y direction and has magnitude g) and by a time varying force that points upward, in the +y direction, with magnitude F = bt, where b is a positive constant and is large enough that the particle does not touch the bottom plate. 1. Sketch the trajectory of the particle. 2. How long does it take for the particle to reach its lowest point? 3. If the particle is initially at the midpoint between the two plates, what is the minimum possible value of b such that the particle does not hit the lower plate? 4An astronaut is doing a spacewalk on a long tether at 0.1 km away from the International Space Station (mass of 420,000 kg). His spacesuit includes a very sensitive gravitometer, which indicates the gravitational force acting on the astronaut and his spacesuit from the ISS is 7.0 E−7 N. What is the mass of the astronaut in his suit if G = 6.67 E−11 N*m2/kg2? 1. 150 kg 2. 200 kg 3. 250 kg 4. 300 kg
- 14aTake the larger object to be at x = 0 with the right side as positive. Here, m₁ = 10.0 kg, m₂ = 3.00 kg, and d = 0.600 m. Locate a point x3 along the line AB where a small, 1.00-kg object could rest such that the net gravitational force on it due to the two objects shown is exactly zero. A x3 = m₁, Select how many such points exist. öööö d m₂ B mA 2290 kg space station orbits Earth at an altitude of 4.67 x 10° m. Find the magnitude of the force with which the space station attracts Earth. The mass and mean radius of Earth are 5.98 x 1024 kg and 6.37 x 10° m, respectively. force: N