2. Rotating a space station can simulate gravity for its occupants. A ring-shaped structure with a radius about the length a football field could be spun a few times a minute to achieve a sensation of normal gravity, comfortable for human habitation. Consider a ring space station, rotating counter-clockwise at 0.3141 rad/s (the figure says 0.6282 rad/s - please ignore that value!). O 0.6282 rad/s Fig. 1-a spinning space station. a. What is that angular velocity, 0.3141 rad/s, in revolutions per minute? Show your

2. Rotating a space station can simulate gravity for its occupants. A ring-shaped structure with a radius about the length a football field could be spun a few times a minute to achieve a sensation of normal gravity, comfortable for human habitation. Consider a ring space station, rotating counter-clockwise at 0.3141 rad/s (the figure says 0.6282 rad/s - please ignore that value!). O 0.6282 rad/s Fig. 1-a spinning space station. a. What is that angular velocity, 0.3141 rad/s, in revolutions per minute? Show your

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Universal Gravitation

Section: Chapter Questions

Problem 13.4OQ: Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon...

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What is the gravitational acceleration close to the surface of a planet with a mass of 2ME and radius of 2RE where ME, and RE are the mass and radius of Earth, respectively? Answer as a multiple of g, the magnitude of the gravitational acceleration near Earths surface. (See Section 7.5.)
(a) Calculate Earth's mass given the acceleration due to gravity at the North Pole is 9.830 m/s2 and the radius of the Earth is 6371 km from center to pole. (b) Compare this with the accepted value of 5.9791024 kg.
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
An athlete swings a 5.00-kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.800 m at an angular speed of 0.500 rev/s. What are (a) the tangential speed of the ball and (b) its centripetal acceleration? (c) If the maximum tension the rope can withstand before breaking is 100. N, what is the maximum tangential speed the ball can have?
Unreasonable Results (a) Based on Kepler's laws and information on the orbital characteristics of the Moon, calculate the orbital radius for an Earth satellite having a period of 1.00 h. (b) What is unreasonable about this result? (c) What is unreasonable or inconsistent about the premise of a 1.00 h orbit?
2. NASA is expected to send a 2600-kg satellite 450 km above the earth's surface. a. What is its radius? (The earth's radius is 6380 km = 6.38 x 106 m) b. What speed will it have? (Hint: Earth's mass is 5.97 x 1024 kg) What is its orbital period? d. What is its radial acceleration? %3D C.
5. A centrifugal force ride, similar to the Gravitron, spins at a speed of 22 revolutions per minute. If the diameter of the ride is 14 meters, what is the linear speed of the passengers in kilometers/hour?
15. An 55.0 kg astronaut in a G-Force training machine, spins in a horizontal circle of radius 3.00 m. She makes 17.0 revolutions in 14.6 s. At what speed is the astronaut traveling? What is the G-Force on the astronaut? (G-Force is the ratio of experienced force vs. object's Fg)
2. Rotating a space station can simulate gravity for its occupants. A ring-shaped structure with a radius about the length a football field could be spun a few times a minute to achieve a sensation of normal gravity, comfortable for human habitation. Consider a ring space station, rotating counter-clockwise at 0.3141 rad/s (the figure says 0.6282 rad/s - please ignore that value! It takes too much time to fiddle with all these figures). O Fig. 1-a spinning space station. -0.6282 rad/s a. What is that angular velocity, 0.3141 rad/s, in revolutions per minute? Show your work, don't just punch this into google. b. If the centripetal acceleration at the rim of the station is 9.81m/s², what is the radius of the structure? c. What is the linear, tangential velocity v of a chunk of stuff on the rim of the station, at the radius you found in (b)?
10. You're out in space, on a rotating wheel-shaped space station of radius 551 m. You feel planted firmly on the floor , due to artificial gravity. The gravity you experience is Earth-normal, that is, g = 9.81 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm). 1.019 rpm 1.274 rpm 0.133 rpm 73.5 rpm
2. A ball of mass 0.12 kg attached to a rope of length 2.0 m is whirled in a vertical circle at a tangential velocity of 6.0 m/s. Calculate the centripetal force acting on the ball. wse SAMSUNG
NASA IS EXPECTED TO SEND A 2600 KG SATELLITE 450 KM ABOVE THE EARTH'S SURFACE. A. WHAT IS ITS RADIUS? B. WHAT SPEED WILL IT HAVE? C. WHAT IS ITS ORBITAL PERIOD? D. WHAT IS ITS RADIAL ACCELERATION?