O 1198-MAT127-03: CALCULUS A X* HW9 - Rotation - PHY201-G, secMAT 127: Calculus A, sections 0 XBE Ben Eggleston - Grade Calculat xAnswered: An object with a maA webassign.net/web/Student/Assignment-Responses/submit?dep=22685038&tags=autosave#Q7An object with a mass of m = 5.05 kg is attached to the free end of a light string wrapped around a reel of radius R = 0.225 m and mass of M = 3.00 kg. The reel is a solid disk, free torotate in a vertical plane about the horizontal axis passing through its center as shown in the figure below. The suspended object is released from rest 6.60 m above the floor.(a) Determine the tension in the string (in N).7.55Your response differs from the correct answer by more than 10%. Double check your calculations. N(b) Determine the magnitude of the acceleration of the object (in m/s2).11.36Your response differs from the correct answer by more than 10%. Double check your calculations. m/s?(c) Determine the speed with which the object hits the floor (in m/s).9.98V m/sI 12:10

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Answered: O 1198-MAT127-03: CALCULUS A X * HW9 -…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 27PQ: Saturns ring system forms a relatively thin, circular disk in the equatorial plane of the planet....

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Universal Gravitational Constant, G=6,6742867E-11 m3 kg / s2(Note that the exponent is negative)Radius of Earth, RE: 6,3781366E+06 mMass of Earth, ME: 5,9721426E+24 kg Two celestial bodies whose masses are m1 and m2 are revolving around their common center of mass and the distance between them is L. Assuming that they are both point masses, Find the angular speed, tangential speeds of the masses m1 and m2, and period of the motion. m1=7,27210x10^12kg m2=3,85280x10^11kg L=6,16500x10^8m
The Mars Global Surveyor orbits Mars at an average altitude of 405 km. The average radius of Mars is 3390 km. If it takes the spacecraft 1.95 hours to complete one orbit around the planet, what is it's tangential velocity in kilometers per hour? b) In the activity problem, if the spacecraft's tangential velocity slows down to 10,000 kilometers per hour over a time of 6 minutes, what is the angular acceleration(deceleration) in units of radians per hour squared? Please enter your answer as a positive number with 2 decimal places and no units.gb
A circular space station with a radius of 72 m has just been completed. In order to provide astronauts with the feeling of gravity, the space station will be set spinning about its central axis. To do this, solid fuel rockets have been attached around the perimeter of this station to start it spinning. These rockets fizzle out quickly, and produce a non-uniform angular acceleration of =a0e−bt Where a0 = 0.0424 rad/s2 and b = 0.153 s-1. The station is at rest (is not spinning) when the rockets are ignited at t = 0 s. What is the tangential speed of the outer edge of the station about the center of the station at t = 6.27 s? Through what angle has the station rotated in that time? Once the rockets are done burning, how long does it take the station to complete one revolution?
Kepler’s second law is a consequence of conservation of angular momentum. Angular momentum equals the (transverse speed of the planet) x(mass of the planet) x (distance from the sun). The transverse speed isthe amount of the planet’s orbital velocity that is in the direction perpendicular to the line between the planet and the Sun. If the distancedecreases, then the speed must increase to compensate; if the distanceincreases, then the speed decreases.(a) Using this information derive an expression for how much greatera planet’s velocity is at perihelion compared to aphelion. Hint: Atperihelion and aphelion all the planets orbital velocity is perpendicularto the line between the planet and the Sun.(b) If Mars has an orbital speed of 25 km/s at perihelion, what is itsorbital speed at aphelion?(c) What is the ratio between the kinetic energy at perihelion and aphelion?
Concerning the life of an individual comet, say, from the Kuiper Belt or Oort Cloud. These objects spend most of their "life" in the outskirts of our Solar System, and then they will "swoop" in toward the Sun when completing a full single orbit. Can you use the Law of Conservation of Angular Momentum to explain the speed that the comet has when it's farthest from the Sun to when it is closest? (so you have 2 variables: speed and distance)
NASA scientists suggest using rotating cylindrical craft to recreate gravity while in a weightless environment. Consider such a craft that has a diameter of d = 124 m. What is the speed v, in meters per second, the craft must rotate at its outer edge to recreate the force of gravity on earth g. At what rate, in revolutions per minute, is the station rotating?
Artificial gravity is a must for any space station if humans are to live there for any extended length of time. Without artificial gravity, human growth is stunted and biological functions break down. An effective way to create artificial gravity is through the use of a rotating enclosed cylinder, as shown in the figure. Humans walk on the inside of the outer edge of the cylinder, which has a diameter of ?=2635 m that is large enough such that its curvature is not readily noticeable to the inhabitants. (The space station in the figure is not drawn to scale.) Once the space station is rotating at the necessary angular speed ?ω to create an artificial gravity of 1 ?, how many minutes would it take the space station to make one revolution?
The perihelion of Halley’s comet is 0.586 AU and the aphelion is 17.8 AU. Given that its speed at perihelion is 55 km/s, what is the speed at aphelion ( IAU=1.4961011m )? (Hint: You may use either conservation of energy or angular momentum, but the latter is much easier.)
A particle of mass m moves along a straight line with constant velocity v0 in the x direction, a distance b from the x axis (Fig. P13.10). (a) Does the particle possess any angular momentum about the origin? (b) Explain why the amount of its angular momentum should change or should stay constant. (c) Show that Keplers second law is satisfied by showing that the two shaded triangles in the figure have the same area when . Figure P13.10
Saturns ring system forms a relatively thin, circular disk in the equatorial plane of the planet. The inner radius of the ring system is approximately 92,000 km from the center of the planet, and the outer edge is about 137,000 km from the center of the planet. The mass of Saturn itself is 5.68 1026 kg. a. What is the period of a particle in the outer edge compared with the period of a particle in the inner edge? b. How long does it take a particle in the inner edge to move once around Saturn? c. While this inner-edge particle is completing one orbit abound Saturn, how far around Saturn does a particle on the outer edge move?
A satellite in a geosynchronous circular orbit is 42,164.0 km from the center of Earth. A small asteroid collides with the satellite sending it into an elliptical orbit of apogee 45,000.0 km. What is the speed of the satellite at apogee? Assume its angular momentum is conserved.
Two stars of masses M and m, separated by a distance d, revolve in circular orbits about their center of mass (Fig. P11.50). Show that each star has a period given by T2=42d3G(M+m) Proceed as follows: Apply Newtons second law to each star. Note that the center-of-mass condition requires that Mr2 = mr1, where r1 + r2 = d.

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