1. A 50-kg girl rides on a giant Ferris wheel of radius 12 m that makes 2 revolutions each minute.(a)(b)What is the girl's speed in m/s?What is the apparent weight of the girl at the lowest point in the ride? (Hint: Herapparent weight is equal to the force of the seat acting on her).) What is the apparent weight of the girl at the highest point in the ride?If she felt weightless at the top of the ride, how fast would she be moving?(c)(d)Show transcribed image text 1. A 50-kg girl rides on a giant Ferris wheel of radius 12 m that makes 2 revolutions each minute. (a)What is the girl?s speed in m/s? (b)apparent weight is equal to the force of the seat acting on her). (c)in the ride? (d)I What is the apparent weight of the girl at the lowest point in the ride? (Hint: HerWhat is the apparent weight of the girl at the highest pointIf she felt weightless at the top of the ride, how fast would she be moving?

Given: The mass of the girl is 50 kg. The radius is 12 m. The angular speed is 2 rpm.

Answered: 1. A 50-kg girl rides on a giant Ferris…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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a) An object weights 4000 N on planet Alpha. Planet Alpha has 8 times the mass of planet Beta and 4 times the radius of planet Beta. What will the object weight on planet Beta? b) A 60 kg person is sitting on a bathroom scale while riding on a Ferris Wheel. The Ferris Wheel has a radius of 9 m and the person's speed is 3 m/s. Find the scale reading when the person is at the bottom of the motion.
Different situation now. You re out in space, on a rotating wheel-shaped space station of radius 978 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). 0.478 rpm 0.956 rpm 0.100 rpm 97.9 rpm
7.) A sateltle orbits at a height of 6,000 km above the earth’s surface. REarth = 6.38 × 106 m, mEarth = 5.98 × 1024 kg. What is the magnitude of the gravitational acceleration g at this height, in m/s2? Use G = 6.67 × 10-11 N·m2/kg2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
Concern the planet Mars, which has a radius of 3400 km. On Mars, the acceleration due to gravity is 3.72 m/s^2 The mass of the sun is 2.0×1030 kg, while the (actual) mass of Mars is 6.4×1023 kg. The average distance from Mars to the sun is 228 million kilometers. a. What is the gravitational force acting on Mars due to the sun? What is the reaction force to this force? Name or explain the force; don’t give a value. b. What are the speed and angular velocity of Mars? Compare the values to those of Earth. c. Using only information provided above, estimate the length of a year on Mars. Compare the value to that of Earth.
Homework Statement The solar system is 25,000 light years from the center of our Milky Way galaxy. One light year is the distance light travels in one year at a speed of 3.0*10^8 m/s. Astronomers have determined that the solar system is orbiting the center of the galaxy at a speed of 230 km/s. A)Assuming the orbit is circular, what is the period of the solar system's orbit? Give your answer in years. B) Our solar system was formed roughly 5 billion years ago. How many orbits has it completed? c) The gravitational force on the solar system is the net force due to all the matter inside our orbit. Most of that matter is concentrated near the center of the galaxy. Assume that the matter has a spherical distribution, like a giant star. What is the approximate mass of the galactic center? D)Assume that the sun is a typical star with a typical mass. If galactic matter is made up of stars, approximately how many stars are in the center of the galaxy?
1. If both the mass and speed of an object are doubled while the radius is decreased by 4x, then the centripetal force is? 2. A 5 kg object has a kinetic energy of 90 Joules. What is the speed of this object? 3. The momentum of a 500 g object is 2000 kg m/s. What is the speed of this object? 4. A ball is thrown straight upward at an initial speed of 70 m/s. What is the acceleration of the object after 13 seconds? 5. An object is thrown straight upward with a speed of 90 m/s. What is the speed of the object after 13 seconds?
1. Gravity: A satellite circles the earth three times per day (it has an 8-hour period). Given Mearth = 5.98x1024 kg, rearth = 6.38x10° km, and G=6.67x10" Nm²/kg², and assuming the orbit is circular, a. Find the radius of the orbit, how many earth radii is it? b. What is the speed of the satellite (in km/s)? c. What is the acceleration due to the Earth's gravity at that radius, i.e. what is "g" at the satellite radius? How much stronger is g at the Earth's surface (what is g/g.t_sat)?
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?
Found a large planet the size of Jupiter orbiting a star. The distance of the planet is 1/9 times the distance between Mercury and the sun. The planet takes 3.09 days to make one orbit (assuming circular). How fast is the planet moving? (Knowing G = 6.67 × 10^-11 N m²/kg², distance of Mercury from the sun = 5.79 x 1010 m) a. 131 km/s b. 141 km/s c. 151 km/s d. 161 km/s e. 171 km/s
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
A 1500 kg racecar goes at a constant speed of 96 km/h round a curved section of track that has a radius of 80 m. 1. What is the speed of the car in m/s? 2. What is the car’s centripetal acceleration? 3. What is the centripetal force acting on the car?
Deimos, a moon of Mars, is about 12 km in diameter with mass 2.0 × 10¹5 kg. Suppose you are stranded alone on Deimos and want to play a one-person game of baseball. You would be the pitcher, and you would be the batter! a. With what speed would you have to throw a baseball so that it would go into a circular orbit just above the surface and return to you so you could hit it? Do you think you could actually throw it at this speed? b. How long (in hours) after throwing the ball should you be ready to hit it? Would this be an action-packed baseball game?

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