Question 13One of the critical training components for NASA astronauts is the weightlessness simulation (which is really zero normal force). The astronauts are flown in a vertical circle in an airplane. Texperience weightlessness, how fast should the airplane be moving at the top of the vertical circle? The diameter of the trajectory is 4.61 km. Use g = 9.80 m/s (PAMP1312F20)a) 0425 m/sb) O 106 m/sc) O 213 m/sd) O 301 m/se) O 150 m/sRevie

Given: The diameter of the trajectory is d=4.61 km. The acceleration due to gravity is g=9.80 m/s2.…

tion 13 One of the critical training components for NASA astronauts is the weightlessness simulation (which is really zero normal force). The astronauts are flown in a vertical circle in an airplane. experience weightlessness, how fast should the airplane be moving at the top of the vertical circle? The diameter of the trajectory is 4.61 km. Use g= 9.80 m/s (PAMP1312F20) a) O 425 m/s b) O 106 m/s c) O 213 m's d) O 301 m/s e) O 150 m/s Revi

tion 13 One of the critical training components for NASA astronauts is the weightlessness simulation (which is really zero normal force). The astronauts are flown in a vertical circle in an airplane. experience weightlessness, how fast should the airplane be moving at the top of the vertical circle? The diameter of the trajectory is 4.61 km. Use g= 9.80 m/s (PAMP1312F20) a) O 425 m/s b) O 106 m/s c) O 213 m's d) O 301 m/s e) O 150 m/s Revi

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And Gravitation

Section: Chapter Questions

Problem 66AP: The pilot of an airplane executes a constant-speed loop-the-loop maneuver in a vertical circle as in...

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The pilot of an airplane executes a constant-speed loop-the-loop maneuver in a vertical circle as in Figure 7.13b. The speed of the airplane is 2.00 102 m/s, and the radius of the circle is 3.20 103 m. (a) What is the pilot's apparent weight at the lowest point of the circle if his true weight is 712 N? (b) What is his apparent weight at the highest point of the circle? (c) Describe how the pilot could experience weightlessness if both the radius and the speed can be varied. Note: His apparent weight is equal to the magnitude of the force exerted by the scat on his body. Under what conditions does this occur? (d) What speed would have resulted in the pilot experiencing weightlessness at the top of the loop?
Figure P7.45 shows a picture of American astronaut Clay Anderson experiencing weightlessness on board the International Space Station. a. Most people have the misconception that a person in a spacecraft is weightless because he or she is no longer affected by gravity. Show that this premise cannot be true by computing the gravitational field of the Earth at an altitude of 200 km the typical altitude of a spacecraft in orbit. Compare this result with the gravitational field on the surface of the Earth. b. Why would astronauts in orbit experience weightlessness even if they are experiencing a gravitational field (and therefore a gravitational force)?
Suppose an alien civilization has a space station in circular orbit around its home planet. The stations orbital radius is twice the planets radius, (a) If an alien astronaut has weight w just before launch from the surface, will she be weightless when she reaches the station and floats inside of it? (b) If not, what will be the ratio of her weight in orbit to her weight on the planets surface?
The pilot of an airplane executes a constant-speed loop-the-loop maneuver in a vertical circle as in Figure 7.13b. The speed of the airplane is 2.00 102 m/s, and the radius of the circle is 3.20 103 m. (a) What is the pilot's apparent weight at the lowest point of the circle if his true weight is 712 N? (b) What is his apparent weight at the highest point of the circle? (c) Describe how the pilot could experience weightlessness if both the radius and the speed can be varied. Note: His apparent weight is equal to the magnitude of the force exerted by the scat on his body. Under what conditions does this occur? (d) What speed would have resulted in the pilot experiencing weightlessness at the top of the loop?
The Lunar Reconnaissance Orbiter (LRO), with mass m = 1850 kg, maps the surface of the Moon from an orbital altitude of 50.0 km. What are the magnitude and direction of a. the force the LRO experiences due to the Moons gravity and b. the force exerted by the LRO on the Moon?
Review. The gravitational force exerted on a baseball is 2.21 N down. A pitcher throws the ball horizontally with velocity 18.0 m/s by uniformly accelerating it along a straight horizontal line for a time interval of 170 ms. The ball starts from rest, (a) Through what distance does it move before its release? (b) What are the magnitude and direction of the force the pitcher exerts on the hall?
The pilot of an airplane executes a loop-the-loop maneuver in a vertical circle. The speed of the airplane is 300 mi/h at the top of the loop and 450 mi/h at the bottom, and the radius of the circle is 1 200 ft. (a) What is the pilots apparent weight at the lowest point if his true weight is 160 lb? (b) What is his apparent weight at the highest point? (c) What If? Describe how the pilot could experience weightlessness if both the radius and the speed can be varied. Note: His apparent weight is equal to the magnitude of the force exerted by the seat on his body.
When a star dies, much of its mass may collapse into a single point known as a black hole. The gravitational force of a black hole on surrounding astronomical objects can be very great. Astronomers estimate the strength of this force by observing the orbits of such objects around a black hole. What is the gravitational force exerted by a black hole on a 1-solar-mass star whose orbit has a 1.4 1010 m radius and a period of 5.6 days?
A 0.275-kg object is swung in a vertical circular path on a string 0.850 m long as in Figure P7.70. (a) What are the forces acting on the ball at any point along this path? (b) Draw free-body diagrams for the ball when it is at the bottom of the circle and when it is at the top. (c) If its speed is 5.20 m/s at the top of the circle, what is the tension in the string there? (d) If the string breaks when its tension exceeds 22.5 N, what is the maximum speed the object can have at the bottom before the string breaks? Figure P7.70
The mass of the Earth is approximately 5.98 1024 kg, and the mass of the Moon is approximately 7.35 1022 kg. The Moon and the Earth are separated by about 3.84 108 m. a. What is the magnitude of the gravitational force that the Moon exerts on the Earth? b. If Serena is on the Moon and her mass is 25 kg, what is the magnitude of the gravitational force on Serena due to the Moon? The radius of the Moon is approximately 1.74 106 m.
A satellite of mass 16.7 kg in geosynchronous orbit at an altitude of 3.58 104 km above the Earths surface remains above the same spot on the Earth. Assume its orbit is circular. Find the magnitude of the gravitational force exerted by the Earth on the satellite. Hint: The answer is not 163 N.
Planetary orbits are often approximated as uniform circular motion. Figure P7.9 is a scaled representation of a planets orbit with a semimajor axis of 1.524 AU. a. Use Figure P7.9 to find the ratio of the Suns maximum gravitational field to its minimum gravitational field on the planets orbit. b. What is the ratio of the planets maximum speed to its minimum speed? c. Comment on the validity of approximating this orbit as uniform circular motion.