In recent years, scientists have discovered hundreds of planets orbiting other stars. Some of these planets are in orbits that are similar to that of earth, which orbits the sun ( M sun = 1.99 × 10 30 kg) at a distance of 1.50 × 10 11 m, called 1 astronomical unit (1 au). Others have extreme orbits that are much different from anything in our solar system. Problems 47–49 relate to some of these planets that follow circular orbits around other stars. 48. HD 10180g orbits with a period of 600 days at a distance of 1.4 au from its star. What is the ratio of the star’s mass to our sun’s mass?
In recent years, scientists have discovered hundreds of planets orbiting other stars. Some of these planets are in orbits that are similar to that of earth, which orbits the sun ( M sun = 1.99 × 10 30 kg) at a distance of 1.50 × 10 11 m, called 1 astronomical unit (1 au). Others have extreme orbits that are much different from anything in our solar system. Problems 47–49 relate to some of these planets that follow circular orbits around other stars. 48. HD 10180g orbits with a period of 600 days at a distance of 1.4 au from its star. What is the ratio of the star’s mass to our sun’s mass?
In recent years, scientists have discovered hundreds of planets orbiting other stars. Some of these planets are in orbits that are similar to that of earth, which orbits the sun (Msun = 1.99 × 1030 kg) at a distance of 1.50 × 1011 m, called 1 astronomical unit (1 au). Others have extreme orbits that are much different from anything in our solar system. Problems 47–49 relate to some of these planets that follow circular orbits around other stars.
48. HD 10180g orbits with a period of 600 days at a distance of 1.4 au from its star. What is the ratio of the star’s mass to our sun’s mass?
In a scene from The Avengers (the first one) Black Widow is boosted directly upwards by Captain America, where she then grabs on to a Chitauri speeder that is 15.0 feet above her and hangs on. She is in the air for 1.04 s. A) With what initial velocity was Black Widow launched? 1 m = 3.28 ft B) What was Black Widow’s velocity just before she grabbed the speeder? Assume upwards is the positive direction.
In Dark Souls 3 you can kill the Ancient Wyvern by dropping on its head from above it. Let’s say you jump off the ledge with an initial velocity of 3.86 mph and spend 1.72 s in the air before hitting the wyvern’s head. Assume the gravity is the same as that of Earth and upwards is the positive direction. Also, 1 mile = 1609 m. A) How high up is the the ledge you jumped from as measured from the wyvern’s head? B) What is your velocity when you hit the wyvern?
A) If Yoshi flings himself downwards at 9.76 miles per hour to hit an enemy 10.5 m below him, how fast is Yoshi traveling when he hits the enemy? 1 mile = 1609 m
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