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- Activity 3: Problem Solving Activity Answer the following problems and show your process using the four guide steps for solving problems. a. The mean solar distance of Earth is 1.50 x m with a period of 1 year. What is the distance of mars from the sun if it has a period of 1.88 years? 8-0 b. Titan, the largest moon of Saturn, has a mean orbital radius of 1.22x109 m. The orbital period of Titan is 15.95 days. Hyperion, another moon of Saturn, orbits at a mean radius of 1.48x109 m. Use Kepler's third law of planetary motion to predict the orbital period of Hyperion in days. * =Yes, the answer is less Math Practice On a separate sheet of paper, solve the following problems. 1. Jupiter has an orbital period of 11.86 years, and Jupiter's average distance to the sun is 5.2 A.U. If Mercury's average distance to the sun is 0.39 A.U., what is its orbital period in years? ince to what isEvery object is surrounded by a gravitational field.a) The unit of gravitational field strength 'g' is newton per kilogram. Explain how the unitof gravitational field strength relates to the acceleration. b) How does g vary with distance? How does it vary with the object’s mass? c) Describe the direction of the gravitational field around a spherical object.
- alt Z X C V b n m 1514 alt 1. Write the equation for the Force of gravity (weight) on the surface of the earth. 2. What is the value of little g in the equation above? 3. Calculate the force of gravity of a 20 kg mass on Mars. Radius of Mars ctrl 3.40 x 10 m Mass of Mars 6.43 x 1023 kg 4. Calculate the force between 2 asteroids. They are 1000 meters apart, one has a mass of 1,000,000 kg and the other has 10,000,000 kg. 5. The gravitational force between 2 masses is 100 newtons. What is the force if I double the mass of on of the objects? 6. The gravitational force between 2 masses is 100 newtons. What is the force if I double the distance between the masses? 7. T/F The mass of an object can change if I measure it on a different planet. 8. T/F My weight would be slightly less if I climbed to the top of the highest mountain. 9. Draw a free body diagram (force diagram) of an object suspended from a string. 10. Calculate the tension force on string A in the diagram below. Assume a…Describe your approach to the calculation of the period of a satellite moving in the gravitational field of a planet with mass M. a. Use Newton's 3rd law. b. Use Newton's law of universal gravitation. C. Use Kepler's 3rd law. d. Use Newton's 2nd law. e. Use Newton's 1st law.Describe your approach to calculation of the gravitational field strength on a planet with a given size (e.g. diameter) and known escape velocity. a. Use Newton's law of universal gravitation. b. Use Newton's 3rd law. c. Use Newton's 1st law. d. Use law of conservation of energy. e. Use Newton's 2nd law.
- 1 Base your answer to the question on the information below and knowledge of physics. your On a flat, level road, a 1500-kilogram car travels around a curve having a constant radius of 45 meters. The centripetal acceleration of the car has a constant magnitude of 3.2 meters per second squared. Calculate the car's speed as it travels around the curve. [Show all work, including the equation and substitution with units.]c. d. (8.1x10-km)(1.6x10-³ km) (6.5×10 kg) (3.4×10³ m³) 8 = 9.8 N/kg. 42. Gravity The force due to gravity is F = mg where a. Find the force due to gravity on a 41.63-kg object What is its mass? b. The force due to gravity on an object is 632 N. units? 43. Dimensional Analysis Pressure is measured in pas- cals, where 1 Pa = 1 kg/(m-s2). Will the following (0.55 kg)(2.1 m/s) expression give a pressure in the correct 9.8 m/s2 SECTION 3 Measurement Mastering Concepts 44. What determines the precision of a measurement? 45. How does the last digit differ from the other digits in a measurement? The McGraw-Hill CompaniesNo. 1 Read and analyze carefully the problem. Show complete solution and box and use two decimal places for your final answers.
- A) When one object is orbiting a much larger object, the period of the orbit (T) is related to the semi‐major axis (r) by the general form of Kepler’s 3rd Law. Write this general form in the space below: B) What units must the period be in if we want to calculate the semi-major radius in meters? Note that G = 6.67 x 10-11 N m2/kg2. Complete problems using Kepler’s 3rd law as you wrote it down above:Constants You are explaining to friends why an astronaut feels weightless orbiting in the space shuttle, and they respond that they thought gravity was just a lot weaker up there. Part A Convince them that it isn't so by calculating how much weaker (in %) gravity is 360 km above the Earth's surface. Express your answer using three significant figures. ΑΣφ ? The gravity is weaker by % Submit Request Answer Provide Feedback Next > P Pearson276km solve Use the following information for the questions. G =6.67X10-11 (Meters-Kilograms-Seconds units) Mass of Enceladeus =1.08 X 1020 kg Enceladeus radius =252 km g =(GM/R2) Muzzle velocity at vent =(2gh)O.5 Escape velocity =(2GM/R)0.5 What is g on Enceladeus in m/sec² Group of answer choices 0.011 1.13 11.3 0.113 If the plume height is 275 km for the jets of material coming out of Enceladus, what is the muzzle velocity in m/sec? Group of answer choices 300 200 350 250 What is the escape velocity for Enceladeus in m/sec2 and could the plume particles form a ring around Saturn? Group of answer choices 250, no 239, yes 239, no 230, yes