A bob of mass m = 0.300 kg is suspended from a fixed point with a massless string of length L = 24.0 cm . You will investigate the motion in which the string traces a conical surface with half-angle 0 = 15.0 ° . %3D %3D

Suppose that humans have created a colony outside of our solar system on a planet called Wfirst21. Wfirst21 has a mass of 2.65×1025 kg2.65×1025 kg and a day that lasts 23.7 h23.7 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.

A 50.0 kg child stands at the rim of a merry-go-round of radius 1.70 m, rotating with an angular speed of 2.95 rad/s. (a) What is the child's centripetal acceleration? m/s2(b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? N(c) What minimum coefficient of static friction is required?Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round?

Artificial gravity is a must for any space station if humans are to live there for extended length of time. An effective way to create artificial gravity is using a rotating enclosed cylinder. Humans walk on the inside of the outer edge of the cylinder, which has a diameter of D=3450m that is large enough such that its curvature is not readily noticeable to the inhabitants. Once the space station is rotating at the necessary angular speed w to create an artificial gravity of 1g, how many minutes would it take the space station to make one revolution?

An air puck of mass 0.30 kg is tied to a string and allowed to revolve in a circle of radius 1.3 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 1.5 kg is tied to it. The suspended mass remains in equilibrium while the puck on the tabletop revolves. (a) What is the tension in the string? N (b) What is the force causing the centripetal acceleration on the puck? (c) What is the speed of the puck? m/s Need Help? Read It

A planet orbits a star, in a year of length 2.29 x 10’ s, in a nearly circular orbit of radius 3.81 x 1011 m. With respect to the star, determine (a) the angular speed of the planet, (b) the tangential speed of the planet, and (c) the magnitude of the planet's centripetal acceleration. (a) Number i Units (b) Number i Units (c) Number i Units >

Zorch, 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