Three identical very dense masses of 3900 kg each are placed on the x axis. One mass is at 1 =-150 cm, one is at the origin, and one is at x2 = 340 cm. Part A What is the magnitude of the net gravitational force Fgrav on the mass at the origin due to the other two masses? Take the gravitational constant to be G = 6.67x10-11 N-m²/kg². Express your answer in newtons to three significant figures. ▸ View Available Hint(s) Fgrav Submit ΜΕ ΑΣΦ ? N
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- A. Use the definition of the center of mass to determine the maximum “wobble” velocity of a star of mass M caused by a planet of mass m orbiting at a distance r from the star with a period T. B. Thanks to Kepler, we know that the mass, period, and distance of an orbiting object are actually related. Use Newton’s version of Kepler’s Third Law to determine the maximum “wobble” velocity in terms of M, m, and r.You have been visiting a distant planet. Your measurements have determined that the planet's mass is four times that of earth but the free-fall acceleration at the surface is only one-fourth as large. You may want to review (Pages 344-346). Part A What is the planet's radius? Express your answer with the appropriate units. Rp = Submit Part B μA Value X Incorrect; Try Again V = Previous Answers Request Answer To get back to earth, you need to escape the planet. What minimum speed does your rocket need? Express your answer with the appropriate units. μA Value m X Incorrect; Try Again km S ? Submit Previous Answers Request Answer ?A 19.0 kg sphere is at the origin and a 13.0 kg sphere is at x = 20 cm. Part A At what position on the z-axis could you place a small mass such that the net gravitational force on it due to the spheres is zero? Express your answer with the appropriate units.
- PART B AND PART CI Review Constants Two spherical objects have a combined mass of 190 kg . The gravitational attraction between them is 7.53x10-6 N when their centers are 15.0 cm аpart. What is the mass of the heavier object? Express your answer with the appropriate units. HẢ Value Units Submit Request Answer Part B What is the mass of the lighter object? Express your answer with the appropriate units. μΑ ? Valuo Unitapch6p17
- Caroline (45 kg) is riding looping roller coaster (radius = 15 meters) at Cedar Point, At the top of the loop she experiences an acceleration of 13.75 m/s/s. Use g310N/kg for the gravitational constant. Draw a force diagram of the forces acting on Caroline. Determine which force is larger-normal force of gravirational force? Why? What is the normal force of the seat on Caroline? work and include units to receA 2000 kg lunar lander is in orbit 30 km above the surface of the moon. It needs to move out to a 500 km -high orbit in order to link up with the mother ship that will take the astronauts home. Part A How much work must the thrusters do? Express your answer with the appropriate units. μА Value Units ?2. Integrate the equations of motion for a spherical pendulum, i.e., a particle of mass m moving on the surface of a sphere of radius / in a gravitational field, with Lagrangian L = ml² -(0² + psin² 0) + mglcos 0. 2 Hint: Merely set up the integrals, do not evaluate them. You should obtain two integrals w.r.t. de: one determining t and another determining p. Express the first integral in terms of E,Ueff, m, and l. Express the second integral in terms of E,U eff, m, l, and M₂.