What kind of motion is the mass undergoing? With this in mind, give an equation relating the force acting on the mass to the speed |u| of the rotating mass.
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- An air puck of mass m₁ = 0.31 kg is tied to a string and allowed to revolve in a circle of radius R = 1.0 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of m₂ = 1.2 kg is tied to it (see the figure below). The suspended mass remains in equilibrium while the puck on the tabletop revolves. My R my (a) What is the tension in the string (in N)? (b) What is the horizontal force acting on the puck (in N)? N (c) What is the speed of the puck (in m/s)? m/sAn object of mass m, is tied to a string and allowed to revolve in a circle of radius r= 19,7 mon a frictionless, horizontal table. The other end of the string passes through a hole in the center of the table and a mass of m₂ 1,3 kg is tied to it as shown in figure below. The suspended mass remains in equilibrium while the puck on the tabletop revolves. If the period of the puck is T = 9,7 s, find the value of m, in units of kg. Take g=9.8 m/s2, and round off your result to 2 decimal places. r V m₂ mishow work
- Consider a non-rotating space station in the shape of a long thin uniform rod of mass 9.84 x 10^6 kg and length 1286 meters. Rocket motors on both ends of the rod are ignited, applying a constant force of F = 4.77 x 10^5 N to each end of the rod as shown in the diagram, causing the station to rotate about its center. If the motors are left running for 2 minutes and 49 seconds before shutting off, then how fast will the station be rotating when the engines stop? 0.73 rpm 0.29 rpm 0.88 rpm 1.32 rpmZorch, an archenemy of Superman, decides to slow Earth's rotation to once per 29.5 h by exerting a force parallel to the equator, opposing the rotation. Superman is not immediately concerned, because he knows Zorch can only exert a force of 3.95 x 107 N. For the purposes calculations in this problem you should treat the Earth as a sphere of uniform density even though it isn't. Additionally, use 5.979 x 1024 kg for Earth's mass and 6.376 x 106 m for Earth's radius. How long, in seconds, must Zorch push with this force to accomplish his goal? (This period gives Superman time to devote to other villains.)Consider a non-rotating space station in the shape of a long thin uniform rod of mass 6.07 x 10^6 kg and length 613 meters. Rocket motors on both ends of the rod are ignited, applying a constant force of F = 1.79 x 10^5 N to each end of the rod as shown in the diagram, causing the station to rotate about its center. If the motors are left running for 2 minutes and 39 seconds before shutting off, then how fast will the station be rotating when the engines stop?
- Suppose that humans have created a colony outside of our solar system on a planet called Wfirst21. Wfirst21 has a mass of 1.45×1025 kg and a day that lasts 24.1 h (which defines the rotational period of the planet). The colony is located on the planet's equator. The colonists set up a communications satellite which orbits Wfirst21. The satellite has a circular orbit that keeps it positioned directly above the colony. Calculate the radius ?r of the satellite's orbit in kilometers.Consider a non-rotating space station in the shape of a long thin uniform rod of mass 1.09 x 10^6 kg and length 769 meters. Rocket motors on both ends of the rod are ignited, applying a constant force of F = 1.79 x 10^5 N to each end of the rod as shown in the diagram, causing the station to rotate about its center. If the motors are left running for 1 minutes and 14 seconds before shutting off, then how fast will the station be rotating when the engines stop? 1.81 rpm 0.72 rpm 2.53 rpm 3.29 rpmConsider a non-rotating space station in the shape of a long thin uniform rod of mass 7.07 x 10^6 kg and length 526 meters. Rocket motors on both ends of the rod are ignited, applying a constant force of F = 4.14 x 10^5 N to each end of the rod as shown in the diagram, causing the station to rotate about its center. If the motors are left running for 1 minutes and 10 seconds before shutting off, then how fast will the station be rotating when the engines stop? 1.25 rpm 1.50 rpm 0.89 rpm 0.53 rpm
- Answer the question correctly. Thank you!Consider a non-rotating space station in the shape of a long thin uniform rod of mass 6.85 x 10^6 kg and length 1476 meters. Rocket motors on both ends of the rod are ignited, applying a constant force of F = 4.65 x 10^5 N to each end of the rod as shown in the diagram, causing the station to rotate about its center. If the motors are left running for 2 minutes and 16 seconds before shutting off, then how fast will the station be rotating when the engines stop? 1.73 rpm 0.72 rpm 0.58 rpm 1.08 rpmZorch, an archenemy of Superman, decides to slow the Earth's rotation to once per 30.5 h by exerting an opposing force at the equator and parallel to it. Superman is not immediately concerned, because he knows Zorch can only exert a force of 4.60 x 10' N (comparable to a Saturn V rocket's thrust). Assume the Earth's initial rotation is exactly once per 24.0 h to find how long Zorch must push with this force to accomplish his goal. (This gives Superman time to devote to other villains. The Earth's mass is 5.98 × 1024 kg and its radius is 6.38 x 106 m.) Additional Materials |Reading