S Cutnell, Physics, 10e GENERAL PHYSICS (PHYS 2001/2002) ctice Gradebook ORION D

Question

S Cutnell, Physics, 10e GENERAL PHYSICS (PHYS 2001/2002) ctice Gradebook ORION Downloadable eTextbook ment NEXT Chapter 08, Problem 51 Your answer is partially correct. Try again. A star has a mass of 2.91 x 1030 kg and is moving in a circular orbit about the center of its galaxy. The radius of the orbit is 2.6 x 104 light-years (ight-year-9.5 1015 m), and the angular speed of the star is 1.1 x 10-15 rad/s. (a) Determine the tangential speed of the star. (b) What is the magnitude of the net force that acts on the star to keep it moving around the center of the galaxy? (a) Number 209000 (b) Number UnitsT m/s Units Question Attempts: Unlimited SAVE FOR LATER SUBKIT ANSWER

Explanation / Answer

m = 2.91*10^30 kg

R = 2.6*10^4*9.5*10^15 m

angular speed, W = 1.1*10^-15 rad/s

For circular rotation,

we know,

angular speed, W = tangential speed(v)/radius(R)

So, v = W*R = 1.1*10^(-15)*(2.6*10^4*9.5*10^15)

So, v = 2.71*10^5 m/s

b)

For circular motion, the force that keeps moving around the center must be equal to centripetal force

So, F = m*v^2/R

F = 2.91*10^30*(2.71*10^5)^2 / (2.6*10^4*9.5*10^15)

F = 8.65*10^20 N

= 1.47*10^21 N

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