NASA uses a plane often called the "vomit comet" to reproduce the weightlessness of space in astronaut training. The plane travels in circular arcs at a speed of v = 285 m/s. What is the radius the pilot must fly to create weightlessness as they go around the top of the circular arc? Give your answer in meters.

NASA uses a plane often called the "vomit comet" to reproduce the weightlessness of space in astronaut training. The plane travels in circular arcs at a speed of v = 285 m/s. What is the radius the pilot must fly to create weightlessness as they go around the top of the circular arc? Give your answer in meters.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 46PQ: In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A...

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In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?
Which of the following is impossible for a car moving in a circular path? Assume that the car is never at rest. (a) The car has tangential acceleration but no centripetal acceleration. (b) The car has centripetal acceleration but no tangential acceleration. (c) The car has both centripetal acceleration and tangential acceleration.
Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2
Model the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest distance (apogee) from the center of the Earth is rA = 4.05 108 m, and its closest distance (perigee) is rP = 3.63 108 m. a. Calculate the semimajor axis of the Moons orbit. b. How far is the Earth from the center of the Moons elliptical orbit? c. Use a scale such as 1 cm 108 m to sketch the EarthMoon system at apogee and at perigee and the Moons orbit. (The semiminor axis of the Moons orbit is roughly b = 3.84 108 m.)
NASA uses a plane often called the "vomit comet" to reproduce the effects of low gravity in space during astronaut training. The plane moves in circular arcs at a speed of v = 218 m/s.What is the radius the pilot must fly to create weightlessness as they go around the top of the circular arc? Give your answer in meters.
NASA uses a machine often called the "vomit comet" to mimic the effects of low gravity in space during astronaut training. The machine moves in circular arcs at a speed of v = 214 m/s. What is the radius the pilot must fly to create weightlessness as they go around the top of the circular arc? Give your answer in meters.
You're designing a highway so that the maximum centripetal acceleration on a curve is no more than 1.1 m/s2 . What is the minimum curvature radius to accommodate a 100 km/h maximum speed? Express your answer to two significant figures and include the appropriate units.
A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has a 4.8 m diameter, if the riders is subjected to a centripetal acceleration 1.3 times that due to gravity, what is the spinning speed in unit of revolutions per minute? Use g = 9.8 m/s2.
A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has a 6.02 m radius, if the riders is subjected to a centripetal acceleration 1.6 times that due to gravity, what is the spinning speed in unit of revolutions per minute? Use g = 9.8 m/s2.
as a planet Venus moves in its orbit around the sun Venus and the sun are separated by an average distance of 1.08 x 10^11m. Venus makes one trip around the sun every 225 (earth) days. Even though the orbital path is slightly elliptical, consider the path to be circular. 1. calculate the orbital time from days to seconds. 2.Calculate the centripetal acceleration of Venus in m/s^2. 3. if the Venus has a mass of 4.868 x 10^24 kg, Calculate the centripetal Force necessary to keep Venus in orbit. 4. what is the source of the centripetal Force that holds Venus in orbit around the sun?
The Earth spins at 460 meters per second at the equator. The radius of the Earth is 6.37 x 106 m. A person who believes in a flat Earth says that if the Earth was round and spinning that fast we would all fly off. Imagine if you were standing inside a hollow earth. How much centripetal acceleration would you experience? How does this compare to the acceleration due to gravity we feel at the Earth’s surface? Does it explain why we don’t fly off the Earth due to the spin?
A plane with a wingspan of d=25.6m loses control in flight and begins to spiral in a circle around the cockpit while in a vertical dive. It completes one rotation every T=4.72s a. Write an expression for the speed of the tips of the wings relative to the central axis of the plane b. What is the speed in meters per second? c. What is the centripetal force, in newtons, experienced by a pilot with a mass of 100 kg who is 1.0 m above the axis of rotation