1) A string trimmer is a tool for cutting grass and weeds; it utilizes a length...

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Physics

1) A string trimmer is a tool for cutting grass and weeds; itutilizes a length of nylon \"string\" that rotates about an axisperpendicular to one end of the string. The string rotates at anangular speed of 47 rev/s, and its tip has a tangential speed of 56m/s. What is the length of the rotating string?

2) A planet orbits a star, in a year of length 4.62 x107 s, in a nearly circular orbit of radius 3.87 x1011 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 centripetalacceleration.

3) A star has a mass of 1.56 x 1030 kg and is movingin a circular orbit about the center of its galaxy. The radius ofthe orbit is 3.9 x 104 light-years (1 light-year = 9.5 x1015 m), and the angular speed of the star is 2.3 x10-15 rad/s. (a) Determine thetangential speed of the star. (b) What is themagnitude of the net force that acts on the star to keep it movingaround the center of the galaxy?

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