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Review. A student proposes to study the gravitational force by suspending two 100.0-kg spherical objects at the lower ends of tables from the ceiling of a tall cathedral and measuring the deflection of the cables from the vertical. The 45.00-m-long cables are attached to the ceiling 1.000 m apart. The first object is suspended, and its position is carefully measured. The second object is suspended, and the two objects attract each other gravitationally. By what distance has the first objet I moved horizontally from its initial position due to the gravitational attraction to the other object? Suggestion: Keep in mind that this distance will be very small and make appropriate approximations.
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Chapter 13 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
- Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2arrow_forward(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?arrow_forwardThree billiard balls, the two-ball, the four-ball, and the eight-ball, are arranged on a pool table as shown in Figure P7.26. Given the coordinate system shown and that the mass of each ball is 0.150 kg, determine the gravitational field at x=2m, y=0.arrow_forward
- For many years, astronomer Percival Lowell searched for a Planet X that might explain some of the perturbations observed in the orbit of Uranus. These perturbations were later explained when the masses of the outer planets and planetoids, particularly Neptune, became better measured (Voyager 2). At the time, however, Lowell had proposed the existence of a Planet X that orbited the Sun with a mean distance of 43 AU. With what period would this Planet X orbit the Sun?arrow_forwardA system consists of five particles. How many terms appear in the expression for the total gravitational potential energy of the system? (a) 4 (b) 5 (c) 10 (d) 20 (e) 25arrow_forwardIn your own words, describe the difference between the terms gravitational force and gravitational field.arrow_forward
- I need help solving this: a) Calculate x and y components of r12. b) Calculate the x and y components, gx and gy, of the gravitational field at the second point due to the mass m1. c) Calculate x and y components, Fgx and Fgy, of the gravitational force on a particle m2 placed at this location.arrow_forwardQ11 In introductory physics laboratories, a typical Cavendish balance for measuring the gravitational constant G uses lead spheres with masses of 1.20 kg and 12.0 g whose centers are separated by about 5.80 cm. Calculate the gravitational force between these spheres, treating each as a particle located at the center of the sphere.arrow_forwardr dm mi | d— dr L- In the figure, a particle of mass m₁ is a distance d from one end of a uniform rod of length L and mass M. What is the magnitude of the gravitational force on the particle from the rod? NOTE: Give your answer in terms of the variables given and G. F ==arrow_forward
- A satellite in geostationary orbit (also called synchronous orbit) appears to remain stationary in the sky as seen from any particular location on the planet. a.) In the future, there will be need for satellites in synchronous orbit around Mars to aid colonies. At what altitude would such a satellite need to be above the surface of Mars?Assume that the mass of Mars is 6.39 × 10^23 kg, the length of the Martian solar day (i.e., sol) is 24h 39m 35s, the length of the sidereal day is 24h 37m 22s, and the equatorial radius is 3396 km. (Hint: if you haven’t had a physics class before, you can find this by using the fact that the acceleration of an object in circular motion either as v2/r, where v and r are the velocity and radius of the orbit, or as 4Pi 2r/T2 , where T is the period. Use this second equation and Mathematical Insight 4.5 on p. 131 to find r for T=1 day. Make sure to use values for Mars nstead of Earth, as necessary. Alternatively, you can calculate the answer using Newton’s…arrow_forwardTwo small balls, A and B, attract each other gravitationally with a force of magnitude F. If we now double both masses and the separation of the balls, what will now be the magnitude of the attractive force on each one? OA. 4F OB. F OCF/4 OD. SF O E. 16Farrow_forwardTwo electrons in a molecule are 3.80 x 10-10 m apart. Calculate the magnitude of the gravitational force between them.arrow_forward
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