A body, B, is moving at constant speed in a circular path around point P. Which diagram shows the direction of the velocity (vt) and the direction of the centripetal force (Fd acting on the body? B V. .P B •P (1) (3) B B Fe .P (2) (4) Figure 2 Figure 1 Figure 3 Figure 4 O 00 O

problem 4

Question 4 An object of mass 6.4 kg is traveling in a circle of radius 7.8 m at a speed 14.4 m/s. What is its centripetal acceleration? Answer in m/s2 to one decimal place. Your Answer: Answer units D Add attachments to support your work Question 5 An object with a mass of 2.0 kg is traveling in a circle with a centripetal force of 10.2 N. The radius of the object's motion is 8.4 m. What is the object's acceleration? Answer in m/s? to one decimal place. Your Answer:

Learning Goal: To find some of the parameters characterizing an object moving in a circular orbit. The motivation for Isaac Newton to discover his laws of motion was to explain the properties of planetary orbits that were observed by Tycho Brahe and analyzed by Johannes Kepler. A good starting point for understanding this (as well as the speed of the space shuttle and the height of geostationary satellites) is the simplest orbit: a circular one. This problem concerns the properties of circular orbits for a satellite orbiting a planet of mass M. For all parts of this problem, where appropriate, use G for the universal gravitational constant. Part A Find the orbital speed v of a satellite in a circular orbit of radius R around a planet of mass M. Express the orbital speed in terms of G, M, and R. ► View Available Hint(s) V = Submit Part B K = Find the kinetic energy K of a satellite with mass m in a circular orbit of radius R around a planet of mass M. Express your answer in terms of m,…