An astronaut in an orbiting spacecraft attaches a mass m to a string and whirls it around in uniform circular motion. the radius of the circle is r, the speed of the mass is v, and the tension in the string is f. if the mass, radius, and speed were all to double the tension required to maintain uniform circular motion would be
a) f/2
b) f
c) 2f
d) 4f
e) 8f

the correct ans is D.

Explanation:

as in case of uniform circular motion ,tension provides the necessary centripetal force ..and is given by :-

F = mv2/r

now if mass , speed and radius are doubled then putting the values in the formua we get ;

F' = (2m)(2v)2/ 2r

F' = 4(mv2/r)

F' = 4F

So, the correct option would be D.

the average speed is 24.57 km/hr

answer: the correct answer id option(d).

explanation:

snell's law refraction:

the angle of refraction =

the angle of incidence =

refractive index of air = = 1

refractive index of glycerol = 1.47

from the given options, the most closest answer to 63.72° is 65° of option (d).