14. If Halley\'s comet takes 76 years to go around the Sun, what is its semimajo

Question

14. If Halley's comet takes 76 years to go around the Sun, what is its semimajor axis distance (average distance) in AU? A) 25.3 B) 17.9 C) 662.6 D) 76 E) 8.7 bile traveling on a straight, level road at 30 km/h speeds up to 75 km/h in 50 s. What was the magnitude of the auto's acceleration, in meters per second squared? A) 98 m/s2 B) 25 m/s C) 0.25 m/s2 D) 35 m/s E) 80 m/s 0.065-kg bullet travels with a velocity of magnitude 90 km/h. What is the bullet's linear momentum? A) B) C) 6. A 4.8 kg-m/s in the opposite direction of the velocity 13 kg-m/s in the direction of the velocity 0.65 kg-m/s in the direction of the velocity D) E) 1.6 kg-m/s in the direction of the velocity 57 kg-m/s in the direction of the velocity 17. A 4 kg roller coaster starts from rest 10 m above the ground. What is its velocity 5 meters above the ground in m/s? A) 9.9 B) 14 C) 25 D) 5 E) 7.5 18. How much heat is necessary to change 20 g of ice at -10°C into water at 20°C? A) 20 kcal B) 32 kcal C) 40 kcal D) 26.4 kcal E) 2.1 kcal 9. A ball is dropped from an upper-story dorm window. Neglecting air resistance, what is the speed of the ball when it has faller A) 7.0 m/s B) 13 m/s C) 24 m/s D) 39 m/s E) 3.9 m/s

Explanation / Answer

14)

use,

T^2 = 4pi^2*r^3/(G*M)

(76*365*24*60*60)^2 = 4pi^2*r^3/(6.67*10^-11*1.9*10^30)

===>

r=2.643*10^12 m

r=2.643*10^12*(6.68*10^-12)

r=17.6 AU

or near answer r=17.9 AU is correct answer

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