Isabella boarded a ferris wheel. She traveled from the 6 o clock position, the radius being 22 yards. She traveled counter clockwise but suddendly stopped before reaching the 12 o clock position. She identified that her position was 21 yards above the vertical midline of the ferris wheel. The backup batteries of the ferris wheel kicked in and pushed her an additional 120 degrees. Does Isabella reach the 9 o clock position? Justify your answer

Isabella boarded a ferris wheel. She traveled from the 6 o clock position, the radius being 22 yards. She traveled counter clockwise but suddendly stopped before reaching the 12 o clock position. She identified that her position was 21 yards above the vertical midline of the ferris wheel. The backup batteries of the ferris wheel kicked in and pushed her an additional 120 degrees. Does Isabella reach the 9 o clock position? Justify your answer

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 47P: Let gM represent the difference in the gravitational fields produced by the Moon at the points on...

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Let gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)
The gravitational field is another name for the acceleration due to gravity, depending on position, abbreviated as a. The gravitational field near the Earth's surface has the special value g = 9.8 m/s2. You can assume that the radius of the Earth is REarth = 6,400 km. Calculate the gravitational field from this formula, at a height of 585 km above the surface of the Earth. Enter the result in m/s2. Round to one digit after the decimal point (i.e., the same number of digits as in g = 9.8 m/s2). Hint: You can use either kilometers or meters for the values of REarth and R in this formula, as long as you use the same units for both. These units cancel out.
22. One of the moons of an unknown planet has an orbital radius of 245,000 miles and a period of 20 days (Earth's day). The linear speed (mile/hour) of the moon in its orbital motion around the planet is: О 3210 О 3403 O 12250 O 510 O 1602 O 1020 O 2450 О 3900
A spaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. The captain orders the ship to travel 2.7 x 106 kilometers before turning 70° and traveling 2.3 x 106 kilometers before assuming the path towards the space station. If the captain had not ordered a course correction, what would have been the magnitude (in kilometers) and direction (in degrees counterclockwise from the +x-axis) of the path of the spaceship if it had instead traveled directly through the nebula? L magnitude direction spaceship km A nebula space station B ww counterclockwise from the +x-axis
A spaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. The captain orders the ship to travel 2.3 x 106 kilometers before turning 70⁰ and traveling 1.5 x 106 kilometers before assuming the path towards the space station. If the captain had not ordered a course correction, what would have been the magnitude (in kilometers) and direction (in degrees counterclockwise from the +x-axis) of the path of the spaceship if it had traveled through the nebula? L. magnitude direction spaceship A nebula space station B km ° counterclockwise from the +x-axis
A spaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. The captain orders the ship to travel 2.9 x 106 kilometers before turning 70° and traveling 2.7 x 106 kilometers before assuming the path towards the space station. If the captain had not ordered a course correction, what would have been the magnitude (in kilometers) and direction (in degrees counterclockwise from the +x-axis) of the path of the spaceship if it had instead traveled directly through the nebula? magnitude direction spaceship km nebula www space station counterclockwise from the +x-axis
If you are sitting at the equator on Earth, what would your average speed be knowing that the radius of the Earth is 6.37 x 106 m? What would your acceleration on Earth be?
The mean distance of Mars from the Sun is 1.52 times that of Earth from the Sun. From Kepler’s law of periods, calculate the number of years required for Mars to make one revolution around the Sun; compare your answer with the value given in Appendix C.
A satellite is in circular polar orbit around Earth at an altitude of 450 km – meaning it passes directly overhead of the North and South Poles. What is the magnitude and direction of the displacement vector when it is directly over the North Pole to when it is at 40° latitude? Earth’s radius is 6,370 km.
The orbit of Earth’s moon has a period of 27.3 days and a radius (semi-major axis) of 2.57 ×10-3 A.U. = 3.85 × 105 km. What is the mass of Earth? What are the units?
H.W: In the Boher model of the hydrogen atom an electron moves at 2.19*10°m/s in an orbit of radius 5.29*10" centered on a proton. (a)what is the centripetal force on the electron? (b)what is the number of revolutions made each second? Ans. (a)9.06*10²²m/s² (b); = 6.58 * 1015 1/s %3D H.W: A ball is thrown with an initial speed voat an angle 0 below the horizontal from rooftop 44m above the ground. It lands 2sec later at a point 32m from the Vuz base of the building. Find vo and 0 Ans. 0 = –37.32vo 20. 1m/s 44 v 32 H.W: A ball thrown up from a rooftop of height 40m lands on ground in 4s. (a)what is its maximum height above the ground? (b)what is its velocity 15m below the rooftop? Ans. (a)44.7m (b) v = –19.65 I H.W: An object is thrown horizontally at 20m/s from a cliff top 45m above sea level. Find (a)the time to land; (b)the angle at which it hits the water; (c)the speed at which it hits the water. Ans. (a)3.03s (b)Ø = –54.73 (c)35.79m/s
According to Kepler's third law of planetary motion, the mean distance D, in millions of miles, from a planet in our solar system to the sun is related to the time P, in years, that it takes for the planet to complete a revolution around the sun, and the relationship is D = 93P 2/3. It takes the planet Pluto 248 years to complete a revolution around the sun. What is the mean distance from Pluto to the sun? What is the mean distance from Earth to the sun? Give your answers to the nearest million miles. from pluto to sun _____ million miles from earth to sun _____ million miles