A space capsule of mass 445 kg is at rest 2.50 ✕ 107 m from the center of the Earth. When it has fallen 7.00 ✕ 106 m closer to the Earth, find the following. (a) What is the change in the system's gravitational potential energy? (b) Find the speed of the satellite at that point.

A space capsule of mass 445 kg is at rest 2.50 ✕ 107 m from the center of the Earth. When it has fallen 7.00 ✕ 106 m closer to the Earth, find the following. (a) What is the change in the system's gravitational potential energy? (b) Find the speed of the satellite at that point.

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And The Law Of Gravity

Section: Chapter Questions

Problem 14WUE

See similar textbooks

Related questions

Q: Describe in words the shape of the position vs time graph for the free fall

Q: A 1.30-m string is held fixed at both ends. When driven by a 140-Hz source, the string vibrates in 4…

Q: Problem 6. Calculate the amount of electrostatic energy of a uniform sphere of charge in vacuum with…

A: The given radius , the volume charge density .a) Find the inside of sphere.b) Find the outside of…

Q: Which of the following is the most reasonable statement regarding a neutron star? Group of answer…

A: Neutron star is made up of neutron.it's main component is neutron that's why it is known as neutron…

Q: 4. The heat of combustion of anthracite coal is 11,500 Btu/lb. Estimate the decrease of mass in…

Q: An isolated, charged conductor is in electrostatic equilibrium. Which statement is correct? a. The…

A: The net charge of conductor lies on its surface to make the net electric field inside the conductor…

Q: ormally incident light with

A: The refractive index of methylene iodide The…

Q: PROBLEM 4 A heat pump is used to meet the heating requirements of a house and maintain it at…

A: To calculate the net power input required by the heat pump (a):Net Power Input (kW) = Heat Output…

Q: Question 3 Using an approximate gravitational force of 10N/kg, and the formula "weight = mass x…

A: Weight W = 120 NGravitational Acceleration g = 10 N/kgWhat is the mass of an object?

Q: (a) Calculate the angular momentum of the Moon due to its orbital motion about Earth. In your…

Q: The figure shows two closed paths wrapped around two conducting loops carrying currents i₁ = 5.3 A…

Q: The equations below are approximations of the magnitude of the electric field of an electric dipole,…

Q: An object located 1.15 cm in front of a spherical mirror forms an image located 12.0 cm behind the…

Q: The resistivity of blood is related to its hematocrit, the volume fraction of red blood cells in the…

Q: A transparent oil with index of refraction 1.22 spills on the surface of water (index of refraction…

A: Given values:-Refractive index of transparent oil,(n)= 1.22 -----(1)Refractive index of water,(nw)=…

Q: Today, the lowest part of Death Valley is near Badwater, an elevation of 85 meters below sea level.…

A: To estimate the depth of the lake stand during the Pleistocene, we can find the difference in…

Q: Today, the lowest part of Death Valley is near Badwater, an elevation of 85 meters below sea level.…

A: From the given data,The elevation of sea level is above meters.To find:Find the depth of the lake…

Q: 25.48 A 2000 W" electric heater is designed to operate on a 230 V supply. (a) What is its operating…

A: Dear student, Since you have posted a question with multiple subparts, as per company guidelines we…

Q: The reflecting surfaces of three mirrors form vertices with angles of 170° and 129º, as shown in the…

Q: A quantity of a monatomic ideal gas expands to twice the volume while maintaining the same pressure.…

Q: A potential Vo(0) = k sin² (0/2) (k is a constant) is present on the surface of a hollow sphere of…

A: Given that the potential on the surface of the hollow sphere is And radius of the hollow sphere is R

Q: What method would you use to determine if an image you see in an optics experiment is real or…

A: Method we use to determine if an image you see in an optics experiment is real or virtual.How is…

Q: AI answered the problem this way. Is this correct?

Q: Two springs each with a spring constant of 6 N/m are attached in series to support a weight of 15 N.…

A: Spring constants of two springs are as and Both the springs are connected in series with each…

Q: spring-loaded toy gun is used to launch a 10 g plastic ball. The spring, which has a spring…

A: Given data: Mass (m) = 10 g = 0.010 kgSpring constant (k) = 10 N/mComparison in spring (x) = 10 cm =…

Q: 16.39 Two small stereo speak- Figure E16.39 ers are driven in step by the same variable-frequency…

Q: articles P₁, P2, P3 and Q form a rectangle as indicated in the diagram ven below. Q a) 79 kg b) 77…

Q: In order for Nick to see distant objects clearly, the lens in his glasses must form an upright,…

Q: In a location where the speed of sound is 332 m/s, a 2,000 Hz sound wave impinges on two slits 30 cm…

Q: A proton travels at a speed of 7.54×107 m/s along the x-axis. What is the magnetic field at the…

Q: The forearm shown below is positioned at an angle with respect to the upper arm, and a 5.6 kg mass…

A: Mass of the object held in the hand = 5.6 kgTotal mass of forearm and hand = 2.1 kg

Q: uring an ice show 70.0 kg skater leaps into the air and is caught by an initially stationary kg…

Q: (3.2.1 #7) A cup of boiling water is placed outside at 1:00 pm. One minute later the temperature of…

Q: At what distance from a concave mirror with a 32 cm focal length should an object be placed so that…

A: Focal length of the concave mirror is The object and image distances are the same.Find:The value of…

Q: A physics professor of mass 58kg and height 1.68m is rappelling down a vertical cliff when she…

A: A physics professor of mass and height is rappelling down a vertical cliff when she pauses for a…

Q: A beam of light is incident from air on the surface of a liquid. If the angle of incidence is 38.0°…

Q: You're a pilot beginning a 1130-km flight to a city due south of your starting point. Your plane's…

Q: 5B. A thin rod of length d on a frictionless surface is pivoted about one end, as shown above, and…

Q: The yellow light from a helium discharge tube has a wavelength of 587.5 nm. When this light…

Q: An isolated point charge is placed somewhere on the x-axis. At the point x = 5.00 cm and y = 0, the…

Q: Regarding the Earth and a cloud layer 800 m above the Earth as the "plates" of a capacitor,…

A: Regarding the Earth and a cloud layer above the Earth as the "plates" of a capacitor, to calculate…

Q: Required information Assume that the magnifier is held close to the eye. Use the standard near point…

Q: 2. Iron-53 has a half-life of 8.51 min. After 15 min, 132 g remain of the original sample. What was…

Q: Describe two different methods used to estimate the speed of a CME. Differentiate between the two…

A: Coronal Mass Ejections (CMEs) are massive bursts of solar wind and magnetic fields rising above the…

Q: The projection lens in a certain slide projector is a single thin lens. A slide 24.8 mm high is to…

Q: Microwaves of wavelength 5.40 cm enter a long, narrow window in a building that is otherwise…

A: Solution:Given:m = order of minima = 1d = width of window = 38.0 cm = 38.0 x 10-2 mλ = wavelength of…

Q: In class we found an expression for the 'garden hose angle', ψ, and showed it had a typical value…

Q: A concave spherical mirror has a radius of curvature of magnitude 19.0 cm. (a) Find the location of…

A: GivenThe magnification is given by

Q: What mass of water will change its temperature by 3 celcius when 525 J of heat is added to it? The…

Q: 4. 100.0 g of 4.0°C water is heated until its temperature is 37°C. If the specific heat of water is…

Concept explainers

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

A space capsule of mass 445 kg is at rest 2.50 ✕ 10⁷ m from the center of the Earth. When it has fallen 7.00 ✕ 10⁶ m closer to the Earth, find the following.

(a) What is the change in the system's gravitational potential energy?

(b) Find the speed of the satellite at that point.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the given variable-

VIEW

Step 2: Determine the change in gravitational potential energy-

VIEW

Step 3: Determine the speed of the satellite at that point-

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

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.

Similar questions

What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?
A space probe is fired as a projectile from the Earths surface with an initial speed of 2.00 104 m/s. What will its speed be when it is very far from the Earth? Ignore atmospheric friction and the rotation of the Earth. P11.26 Ki+Ui=Kf+Uf12mvi2+GMEm(1rf1ri)=12mvf212vi2+GME(01RE)=12vf2orvf2=v122GMEREandvf=(v122GMERE)1/2,vf=[(2.00104)21.25108]1/2m/s=1.66104m/s
A system consists of five particles. How many terms appear in the expression for the total gravitational potential energy of the system? (a) 4 (b) 5 (c) 10 (d) 20 (e) 25
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
For many years, astronomer Percival Lowell searched for a Planet X that might explain some of the perturbations observed in the orbit of Uranus. These perturbations were later explained when the masses of the outer planets and planetoids, particularly Neptune, became better measured (Voyager 2). At the time, however, Lowell had proposed the existence of a Planet X that orbited the Sun with a mean distance of 43 AU. With what period would this Planet X orbit the Sun?
A space capsule of mass 505 kg is at rest 8.00 x 10' m from the center of the Earth. When it has fallen 5.00 x 10° m closer to the Earth, finu le (a) What is the change in the system's gravitational potential energy? (b) Find the speed of the satellite at that point. m/s
The Moon is a satellite of mass 7.35 x 1022 kg, with an average distance of3.84 x 108 m from the center of Earth.(a) What is the gravitational potential energy of the Moon–Earth system?(b) What is the Moon’s kinetic energy and speed in circular orbit?(c) What is the Moon’s binding energy to Earth?
A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.1 × 104 m/s. The mass of the planet is M = 6.04 × 1024 kg. The mass of the satellite is m = 1.2 × 103 kg. First, find an expression for the gravitational potential energy PE in terms of G, M, m, and R. a)Calculate the value of PE in joules. b)Enter an expression for the total energy E of the satellite in terms of m and v. c)Calculate the value of the total energy E in joules.
A satellite orbits a planet of unknown mass in a circle of radius 2.1 x 107 m. The magnitude of the gravitational force on the satellite from the planet is F = 95 N. (a) What is the kinetic energy of the satellite in this orbit? (b) What would F be if the orbit radius were increased to 3.2 x 107 m?
A satellite has a mass of 100 kg and is Located at 2.00 × 10 6m above the surface of Earth.(a) What is the potential energy associated with the satellites tins location? (b) What is the magnitude of the gravitational force on the satellite?
A satellite has a mass of 102 kg and is located at 2.0 x 10s m above the surface of Earth. (a) What is the potential energy associated with the satellite at this location? (b) What is the magnitude of the gravitational force on the satellite?
A satellite orbits a planet of unknown mass in a circle of radius 2.0 * 10^7 m. The magnitude of the gravitational force on the satellite from the planet is F = 80 N. (a) What is the kinetic energy of the satellite in this orbit? (b) What would F be if the orbit radius were increased to 3.0 * 10^7 m?