[3] A satellite that weighs 1,600 N on the surface of the Earth (where g -9.79 m/s²) is in a circular SYNCOM (geosynchronous) orbit above Mars (with 0.107 times the mass of the Earth and 0.529 times the radius of the Earth, which is 6400 km), with a period one Martian day (24.6 hours). Find (a) the acceleration of gravity at the Martian surface, (b) the weight of the satellite on Martian surface, (c) the altitude of the Mar's SYNCOM orbit, (d) the speed of the satellite at Mar's SYNCOM orbit.
[3] A satellite that weighs 1,600 N on the surface of the Earth (where g -9.79 m/s²) is in a circular SYNCOM (geosynchronous) orbit above Mars (with 0.107 times the mass of the Earth and 0.529 times the radius of the Earth, which is 6400 km), with a period one Martian day (24.6 hours). Find (a) the acceleration of gravity at the Martian surface, (b) the weight of the satellite on Martian surface, (c) the altitude of the Mar's SYNCOM orbit, (d) the speed of the satellite at Mar's SYNCOM orbit.
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)...
Related questions
Question
answer the third question
![[1] A lawn roller, which is a uniform cylinder of mass M and radius R, is being pulled on a
horizontal lawn with a force F that passes through its center of mass, at an angle above
the horizontal. As a result, the lawn roller rolls without slipping. Find
(a) The angular acceleration a of the roller and the linear acceleration am of its center of
mass,
(b) the force of friction on the roller.
(c) If the coefficient of static friction between the roller and the lawn is , what is the
maximum value of the force F that can be applied to the roller without causing it to
slip?
[2] A uniform, rigid hoop of radius R and mass M is pivoted at a point A, on its perimeter. It
is able to rotate frictionlessly about point A in the vertical plane in which it lies. A small
piece of clay of the same mass M is shot towards its center at a horizontal speed v
sticking immediately to point B on the hoop. Point B is at the same horizontal level as O,
the center of the hoop. As a result, the hoop (with the clay on it) turns around point A for
many revolutions.
(a) For the collision process between the clay and the hoop, is the mechanical energy of
the clay-hoop system conserved? What about the linear momentum and angular
momentum? You must give brief justifications.
(b) What is the angular speed of the hoop, immediately after the clay got stuck at point
B?
(c) What is the minimum possible value of v? Take R = 25 cm for part (c).
[3] A satellite that weighs 1,600 N on the surface of the Earth (where g -9.79 m/s²) is in a
circular SYNCOM (geosynchronous) orbit above Mars (with 0.107 times the mass of the
Earth and 0.529 times the radius of the Earth, which is 6400 km), with a period one
Martian day (24.6 hours). Find
(a) the acceleration of gravity at the Martian surface,
(b) the weight of the satellite on Martian surface,
(c) the altitude of the Mar's SYNCOM orbit,
(d) the speed of the satellite at Mar's SYNCOM orbit.
[4] An open-top, cylindrical container of cross-sectional radius R = 90 cm is filled up with
water is on a table 1.2 m above the ground. When an opening of diameter of 1.0 cm has
been punched at the bottom of the container, water flows out of it and hits the ground 1.6
m away from the wall of the container.
(a) What is the speed of the water shooting out of the opening at this moment?
(b) What is the initial height of the water in the container?
(c) How long does it take to drain the water completely?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcdbdf4c8-5459-45de-99f8-cd8d71031beb%2F89f7d274-39e8-4c20-a140-29ceef4416c3%2Fggr910t_processed.png&w=3840&q=75)
Transcribed Image Text:[1] A lawn roller, which is a uniform cylinder of mass M and radius R, is being pulled on a
horizontal lawn with a force F that passes through its center of mass, at an angle above
the horizontal. As a result, the lawn roller rolls without slipping. Find
(a) The angular acceleration a of the roller and the linear acceleration am of its center of
mass,
(b) the force of friction on the roller.
(c) If the coefficient of static friction between the roller and the lawn is , what is the
maximum value of the force F that can be applied to the roller without causing it to
slip?
[2] A uniform, rigid hoop of radius R and mass M is pivoted at a point A, on its perimeter. It
is able to rotate frictionlessly about point A in the vertical plane in which it lies. A small
piece of clay of the same mass M is shot towards its center at a horizontal speed v
sticking immediately to point B on the hoop. Point B is at the same horizontal level as O,
the center of the hoop. As a result, the hoop (with the clay on it) turns around point A for
many revolutions.
(a) For the collision process between the clay and the hoop, is the mechanical energy of
the clay-hoop system conserved? What about the linear momentum and angular
momentum? You must give brief justifications.
(b) What is the angular speed of the hoop, immediately after the clay got stuck at point
B?
(c) What is the minimum possible value of v? Take R = 25 cm for part (c).
[3] A satellite that weighs 1,600 N on the surface of the Earth (where g -9.79 m/s²) is in a
circular SYNCOM (geosynchronous) orbit above Mars (with 0.107 times the mass of the
Earth and 0.529 times the radius of the Earth, which is 6400 km), with a period one
Martian day (24.6 hours). Find
(a) the acceleration of gravity at the Martian surface,
(b) the weight of the satellite on Martian surface,
(c) the altitude of the Mar's SYNCOM orbit,
(d) the speed of the satellite at Mar's SYNCOM orbit.
[4] An open-top, cylindrical container of cross-sectional radius R = 90 cm is filled up with
water is on a table 1.2 m above the ground. When an opening of diameter of 1.0 cm has
been punched at the bottom of the container, water flows out of it and hits the ground 1.6
m away from the wall of the container.
(a) What is the speed of the water shooting out of the opening at this moment?
(b) What is the initial height of the water in the container?
(c) How long does it take to drain the water completely?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON