1. predict what would happen to the force between the spacecraft and the Mystery Planet when the distance between them doubles. 2.predict the new distance between the spacecraft and the Mystery Planet when they experience a nine-fold increase in the force between them.
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1. predict what would happen to the force between the spacecraft and the Mystery Planet when the distance between them doubles.
2.predict the new distance between the spacecraft and the Mystery Planet when they experience a nine-fold increase in the force between them.
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- 2. The simplest way to increase the size of a circular orbit is method called a Hohmann Transfer (transfers the satellite from a small circular orbit to a larger one). It involves firing thrusters to create a change in velocity to get the satellite into a transfer orbit (elliptical), then later firing the thrusters again for another change in velocity to increase the size of the orbit (back to circular). Diagram: b Avb Transfer Initial Final Ava a Let us say we have the satellite from the previous problem in a circular orbit. We want to increase the altitude of the circular orbit from 418 km to 1000 km. (a) Find the change in velocity necessary to go into the transfer orbit, Ava. (b) Find the change in velocity necessary to go into the final circular orbit, Av. (c) How long will the transfer take? Constants needed: = G = 6.674 × 10-11 Nm² ²/kg² Re = 6.378 x 106m Mo 5.974 x 1024 kg59. Gravitational Time Dilation on Earti. For a relatively weak gravitational field, such as that of a ptanet or an ordinary star, the following formula tells us the iractional amount of gravitational time dilation at a distanes r from the center of an object of mass Mobject- GMobject (G = 6.67 × 10-ll m³/(kg × s²); c = 3 × 10° m/s.] example, while 1 hour passes in deep space far from the object, the amount of time that passes at a distance r is 1 hour multiplied by the factor above. (This formula does not apply to strong gravitational fields, like those near black holes.) Calculate the amount of time that passes on Earth's surface while 1 hour passes in deep space. 60/Gravitational Time Dilation on the Sun. Use the formula given in Problem 59 to calculate the percentage by which time runs slower on the surface of the Sun than in deep space. Based on your answer, approximately how much of a gravitational redshift should you expect for a spectral line with a rest wavelength of 121.6 nm?…Please answer the question and subquestions entirely. This is one single question. According to the official guideline, I can ask two subquestions! Thank you! 1) Two point masses are placed 10.0 cm apart and attract each other with a force of 10.0 N. Find the force of gravitational attraction between the masses when they are placed 5.00 cm apart. 3.00 N 4.50 N 20.0 N 40.0 N a) The radius of the orbit of a certain asteroid is four astronomical units. What is the period (in years) of this asteroid? 2 years 4 years 6 years 8 years b) A satellite is orbiting the earth at an altitude where the acceleration due to gravity is 8.70 m/s 2. What is its speed? 2.65 x 103 m/s 7.45 x 103 m/s 7.68 x 103 m/s 7.91 x 103 m/s
- The planet and its moon gravitationally attract each other. Rank the forces of attraction between each pair from greatest to least. To rank items as equivalent overlap them.= 400 kg with their centers 8 meters apart. If you In the simulation, start with mị = 200 kg and m2 want to increase in the gravitational force between the two masses by the greatest amount, should you double the mass of m2 or should you halve the distance between the masses? In one or two sentences, explain which option would create the greater increase in the gravitational force and why.4. To calculate the energy necessary to move from one situation to another we compare the total energy in each. How much work must be done by a rocket engine to transfer a 1000 kg satellite from an orbit of radius 2R, to 3R,?
- Two of your classmates, each 100kg are separated by 5 meters. The gravitational force of attraction between them in a nano-newton is a) 2.67 nN b) 26.7 nN c) 0.0 nN d) 6.67 nNA boy and a girl are sitting on a sofa. They move so that the distance between them is now one-quarter as great as it was before. How does the gravitational force of attraction between them change? Select one: a. sixteen times as great b. four times as great C. one-quarter as great d. one-sixteenth as great2. Two objects attract each other gravitationally with a force of 2.5 x 10-10N when they are 0.25 m apart. Their total mass is 4.0 kg. Find their individual masses.
- Two masses are attracted by a gravitational force of 9.3 N. What will the force of attraction be if the distance between the two masses is quadrupled? The force of attraction will be ? N.A Space probe is launched from Earth headed for deep space. At a Distance of 10,000 miles from Earths center, the gravitational force on itis 600lb. What is the size of the force when it is at each if the following distances from earths center? A. 20,000 miles b. 30,000 miles c. 100,000 miles1 Suppose two spacecraft which plan to rendezvous are in circular coplanar orbits separated by 100°. The radius of the interceptor spacecraft’s orbit is 6750 km and the radius of the target spacecraft’s orbit is 6900 km. How long must the interceptor wait before starting the rendezvous?