18. The planet Drogan has two moons: Moon l and Moon 2. Moon 2 is 6 times farthe

Question

18. The planet Drogan has two moons: Moon l and Moon 2. Moon 2 is 6 times farther away from Drogan than Moon 1. How does the orbital period of Moon 1 (Ti) compare to the orbital period of Moon 2 (T2)? a) T2-0.2 T1 b) T2-14.7 T c)T2 = 9.3 Ti d) T2= 22.1 T. T24.9 T 19. A boy swings a rock on a string which breaks when it experiences 23 N of tension. If the rock has a mass of 0.5 kg and swings in a circle of radius 2 m, find the minimum speed that breaks the string. a) 4.3 m/s b) 9.6 m/s c 12.4m/s d) 15.2m/s e 17.7 m/s 20. A0.5 kg weight on a rope rotates in a horizontal circle of radius 1 m second. What is the tension in the rope? twice every a) 32N b) 0.32 N c) 12 N d) 79 N e) 85N 21. Anakin drives around a curve with a box of lightsabers in the trunk of his car. The radius of the curve is 50m and the speed of the car is 15 m/s. If the box is to remain stationary as the car goes around the curve, what must be the minimum coefficient of friction between the box and trunk? a) 0.23 b) 0.35 c) 0.46 d) 0.54

Explanation / Answer

a) T^2 = R^3

( T1/T2)^2 = ( R1/6R1)^3

(T1/T2)^2 = (1/216)

T1/T2= 0.068

T2= 14.7 T1

b) mv^2/ r =T

v= sqroot ( rT/m) = sqroot (2x 23/0.5) =9.6 m/s

c) v = 2pir/T = 2 (3.14) (1) / 0.5 = 12.56 m/s

T = mv^2/ r= 0.5 ( 12.56^2) / 1= 78.87= 79 N

d )mv^2 /r = fs

mv^2/ r = u ( mg)

15^2/ 50 = u (9.8)

u =0.459 =0.46 apprx

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