You stand on the seat of a chair and then hop off. (a) During the time you are in flight down to the floor, the Earth moves toward you with what acceleration? Model the Earth as a perfectly solid object. (Assume your mass is 50.0 kg.) 8.1939x10^-23 m/s2 Explain your logic. (b) The Earth moves toward you through what distance? (Assume the seat is 49.5 cm high.) 1.3020x10^-23 m

You stand on the seat of a chair and then hop off. (a) During the time you are in flight down to the floor, the Earth moves toward you with what acceleration? Model the Earth as a perfectly solid object. (Assume your mass is 50.0 kg.) 8.1939x10^-23 m/s2 Explain your logic. (b) The Earth moves toward you through what distance? (Assume the seat is 49.5 cm high.) 1.3020x10^-23 m

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...

See similar textbooks

Similar questions

Two planets in circular orbits around a star have speed of v and 2v . (a) What is the ratio of the orbital radii of the planets? (b) What is the ratio of their periods?
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?
Astronauts walking on the Moon are seen bounding rather than walking normally. Why?
If the mass of Jupiter is defined as 1 M₂ = 1.90 x 1027 kg, what is the mass of Saturn (5.68 × 1026 kg) in units of M₁? 0.299 ✓ M₁ What is the mass of Uranus (8.66 x 1025 kg) in M₁? 0.0031 Divide the mass of Uranus by the mass of Jupiter to calculate the mass of Uranus in units of Jupiter's mass. M₁ What is the mass of Earth (5.97 x 1024 kg) in M₁? 0.046 Divide the mass of Earth by the mass of Jupiter to calculate the mass of Earth in units of Jupiter's mass. M₁ Need Help? Read It
A rocket is launched and attains a speed of 5700_m/s when 63000_m above the surface of the Earth. If the engines then shut down, how much higher will the rocket rise before beginning its fall back toward the Earth? А. 4066000_m D. 2353000_m В. 1703000_m Е. 3876000_m С. 2292000_m F. 3573000_m
An intergalactic spaceship arrives at a distant planet that rotates on its axis with a period of T = 31 hours. The mass of the planet is M = 2.1 • 1025 kg. The spaceship enters a circular orbit with an orbital period that is equal to the planet's period for the rotation about its axis, T. a. Enter an expression for the radius of the spaceship’s orbit. b. Calculate the orbital radius in meters.
I. A 10.0 kg mass is acted on by the two forces: F = (3.0N)î + (2.0N)j and F, = (10.0N)i + (-7.0N) a) Express the summation of these two forces in unit vector notation. That is: %3D %3! F=F F+F, b) What is the acceleration of this mass while these forces are acting? Write your answer in unit vector notation form. c) What is the direction of the acceleration (give the angle of acceleration with the x axis) and its magnetitude?
A projectile is launched horizontal with a speed of 1.8 m/s at the surface of Mars (mass = 6.4 x 10^23kg, radius = 3.4 x 10 6 m) from a height of 1.3 m. a. Determine the acceleration of the object due to the gravitational force exerted by Mars. b. Determine the time at which the projectile will land. c. Determine how far away the projectile lands from where it was launched. Notice this is horizontal distance.
A 2.0 kg rock is thrown horizontally from the top of a 100-meter-high cliff on Planet Unicorn with a speedof 15 m/s. The mass of Planet Unicorn is 1x1025 kg and the top of the cliff is approximately 4000 kmfrom the center of the planet.a) What is the value of the acceleration due to gravity on Unicorn in m/s2 ? b) How far from the base of the cliff does the rock land? A force of 40.0 N is required to pull the same rock at a constant velocity across a smooth glasssurface on Earth. What force would be required to perform the same experiment on PlanetUnicorn?
An object is dropped from an altitude of one Earth radius above Earth's surface. If M is the mass of Earth and R is its radius, the speed of the object just before it hits Earth is given by: GM R 0 GM 2R O GM V2R 0 GM VR 2GM R
A marble rolls off the edge of a 1.2 meter high table with an initial speed of 0.5 m/s. a) how long does it take for the marble to hit the floor? b) how far from the table will it hit the floor?
Assume that planet A has radius RA and mass MA, and planet B has radius Rg and mass Mg. Let ga and gB are the accelerations due to gravity at their surfaces, respectively. If MA = MB, and RA = 2Rg The ratio (g3/gA) is: А. 1 В. 2 С. 4 D. 0.5 E. 0.25 O A В O D