A satellite is placed in a circular orbit with a radius of 1 x 10^7 m and a period of 9.9 x 10^3 s. Calculate the mass of the Earth. (Hint: Gravity is the net force on such a satellite. Scientists have actually measured the mass of the Earth this way).

A satellite is placed in a circular orbit with a radius of 1 x 10^7 m and a period of 9.9 x 10^3 s. Calculate the mass of the Earth. (Hint: Gravity is the net force on such a satellite. Scientists have actually measured the mass of the Earth this way).

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter1: The Study Of Motion

Section: Chapter Questions

Problem 2C: The Moon's mass is 7.35 1022 kg, and it moves in a nearly circular orbit with radius 3.84 108 m. The...

See similar textbooks

Related questions

Q: Find From the experimental data on photoelectronization from the gold leaf. It was found that gold v...

A: work function (w) of gold = 5.10 eV

Q: TV channel 2 broadcasts in the frequency range 50 to 56 MHz. What is the corresponding range of wave...

A: Given that The frequency range of the TV channel is ...

Q: Four point charges are equally separated by 1.00 m in air as shown, with qi = 3.0 nC, q2 = -4.0 nC, ...

Q: DGIVEN THIS SITUATION. PERFEETHY ELASHC GOHIGION, Bl Mi,VI,m2 ARE KNOWN, Ma M2 Ar REST. DERIVE ANRQU...

A: 1. The coefficient of restitution (COR, also denoted by e), is the ratio of velocity of separation t...

Q: The lower end of a capillary tube of diameter 2-0 mm is dipped 8.00 cm below the surface of water in...

Q: The series combination of 5.0 F and 20.0 F capacitors is connected in parallel to a 40.0 F capacitor...

Q: 4. Two resistors dissipate the same amount of power. The potential drop across resistor A is four ti...

Q: ind the net force exerted on a Physics textbook, as it is pushed across a smooth frictionless tablet...

Q: Disloccated shoulder: A patient with a dislocated shoulder is put into a traction apparatus as shown...

Q: An electric current of I = 0.75 A flows through a long, straight wire. The wire lies in the plane of...

Q: A convex lens of focal length 20 cm produces images of the same magnification 2 when an object is ke...

Q: A forklift does 1150 J of work to lift a crate straight up using a force of 500 N. How high does the...

A: Work done by forklift to lift a crate, W = 1150 J Force acting , F = 500 N Let crane lift the crat...

Q: For the circuit diagram shown below, complete the given C-Q-V-E table. The potential difference appl...

Q: Find Young's modulus if the strain equal ( 0.0002) and stress equal ( 80 N/mm2) * O 0.0 8 O 0.016 O ...

Q: I need help with this problem please A catapult launches a rock at a 41° angle with respect to the h...

A: Write the given data θ=41° w.r.t horizontallet the speed of velocity be uwhere u=25 m/s,Hmax=maximum...

Q: The figure shows a distance vs. time graph of an object with three distinct regions, I, II, and III....

A: Velocity will be positive in the region where the value of distance d and time t increases. In regi...

Q: Q2) Light traveling in water strikes a glass plate at an angle of incidence of 49.8°, part of the be...

A: Determine the angle of refraction.

Q: Question 3: What is the mathematical relationship between the Torque, Force, and distance of the for...

A: The relationship between torque, force and distance of the force from the axis of rotation is, τ = ...

Q: The National High Magnetic Field Laboratory once held the world record for creating the strongest ma...

Q: A woman swims the length of a 120-m pool and back again (one lap) in 90 s with a constant speed. 3....

Q: _1. The final momentum of a moving soccer ball is increased if the A. force acting on it is increase...

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts fo...

Q: Two ropes hold a crate with weight (w) of 125 N as shown below. Find the tensions T1 and T2 in the r...

Q: Ca be tale the oerk required delt clone toa cr of 1500 kg moving t a veloily of 6 -ln ?

Q: The resistance of a wire is R. It is bent at the middle by 180° and both the ends are twisted togeth...

Q: The two wires shown in the figure below are separated by d = 11.1 cm and carry currents of I = 4.90 ...

Q: A 40-gram point mass is traveling at a velocity of v = 2.6 m/sec parallel to the x-axis along th...

Q: Two particles of equal mass 'm' go around a circle of radius Runder the action of their mutual gravi...

Q: A point charge 100 pC is located at (4,1, –3) while the x-axis carries charge 2 nC/m. If the plane z...

Q: Ap.d. of 10 V is needed to make a current of 0.02 A flow through a wire. What p.d. is needed to make...

A: Given: For first case, potential difference V1=10 V, Current I1=0.02 A. For second case, Current I2=...

Q: A light ray passes through a glass lens, shown in cross-section in the figure below. Find the angle ...

Q: A thoughtful person on a bridge reflecting on his awesome Physics class sees a small stone by his fe...

A: Given Information The person nudge the stone off the surface. Initial speed of the stone is v0=0 Ti...

Q: Table 2: Relationship between Torque and Force with distance constant. Distance(m) Force (N) Torque ...

A: The data for torque versus force is given when the distance remains constant

Q: Determine the magnitude of force, F (kN), if the resultant of the vectors shown in the figure is 67 ...

Q: Relate hydrostatic equilibrium to the star's mass, composition, and evolution off the main sequence.

A: Hydrostatic equilibrium means that the inward force of gravity,a product of the star's mass, is exac...

Q: A planet of mass ?=6.65×1024 kg orbits a star of mass ?=1.55×1029 kg in a circular path. The radius ...

Q: Suppose that the charged particle a is at rest. (REFER TO THE ATTACHED PICTURE) Answer the f...

Q: Vector has magnitude 12.0m, and vector has magnitude 12.0m. The scalar product is 76.0m2. What is th...

A: Vector has magnitude 12.0m, and vector has magnitude 12.0m. The scalar product is 76.0m2.

Q: Jason throws a ball straight down from the balcony of an apartment building at a velocity of 1.25 m/...

Q: A tourist is driving across Canada. They are currently in the rolling planes of Saskatchewan. They r...

Q: A disk rotates about its central axis starting from rest and accelerates with constant angular accel...

A: According to question we need to find --- (a) Calculate the angular acceleration. (b) Calculate the...

Q: 5. A steam engine intakes 100 g of steam at 100°C per minute and cools it down to 20°C. Calculate th...

Q: An aluminum wire of radius 1.00 mm carries a current of 1.00 mA. The density of aluminum is 2.70x103...

A: Given value--- radius 1.00 mm. current of 1.00 mA. The density of aluminum is- 2.70x103kg/m3 . 1 mo...

Q: Two long, parallel wires separated by 2.90 cm carry currents in opposite directions. The current in ...

A: Given that The separation between the wire is (r) = 2.90cm = 0.029m ...

Q: ind the refractive index of the glass in the figure below. (Take ? = 24°, y = 7.4 cm, and x = 4.7 c...

A: to solve this problem we use Snell's law of refraction wee need to be careful to take the angles wit...

Q: Earth and Jupiter being separated by a distance = 5.88 x 10^11 m when they are closest a). Use Newto...

A: Earth and Jupiter being separated by a distance, d = 5.88 x 1011 m Universal gravitational constan...

Q: Plane x + 2y = 5 carries charge ps = 6 nC/m². Determining E at (-1,0,1). E = -151.7ax – 303.5ay V/m

A: X+2Y=5 Charge =6nC/m² E at (-1,0,1)

Q: PRACTICE IT Use the worked example above to help you solve this problem. A skier starts from rest at...

Q: The mass of an electron is 9.0 x 10-31 kg. It revolves around the nucleus of an atom in a circul...

Q: A 2.6 mH inductor is connected to a 7.8 V, 257.7 Hz source. What is the inductive reactance (in ohms...

Q: A solenoid is made of 500 turns of wire, length = 12 cm, radius = 3 cm, and carries a current of 15 ...

A: Given No of turns, N = 500 Length ,L = 12 cm Radius , R = 3 cm Current ,I = 15 Amp

Question

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

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

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
The Sun has a mass of approximately 1.99 1030 kg. a. Given that the Earth is on average about 1.50 1011 m from the Sun, what is the magnitude of the Suns gravitational field at this distance? b. Sketch the magnitude of the gravitational field due to the Sun as a function of distance from the Sun. Indicate the Earths position on your graph. Assume the radius of the Sun is 7.00 108 m and begin the graph there. c. Given that the mass of the Earth is 5.97 1024 kg, what is the magnitude of the gravitational force on the Earth due to the Sun?
What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?
(a) Given that the period of the Moons orbit about the Earth is 27.32 days and the nearly constant distance between the center of the Earth and the center of the Moon is 3.84 108 m, use Equation 13.11 to calculate the mass of the Earth. (b) Why is the value you calculate a bit too large?
Let gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)
What is the gravitational acceleration close to the surface of a planet with a mass of 2ME and radius of 2RE where ME, and RE are the mass and radius of Earth, respectively? Answer as a multiple of g, the magnitude of the gravitational acceleration near Earths surface. (See Section 7.5.)
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?
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.
Unreasonable Results (a) Based on Kepler's laws and information on the orbital characteristics of the Moon, calculate the orbital radius for an Earth satellite having a period of 1.00 h. (b) What is unreasonable about this result? (c) What is unreasonable or inconsistent about the premise of a 1.00 h orbit?
Model the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest distance (apogee) from the center of the Earth is rA = 4.05 108 m, and its closest distance (perigee) is rP = 3.63 108 m. a. Calculate the semimajor axis of the Moons orbit. b. How far is the Earth from the center of the Moons elliptical orbit? c. Use a scale such as 1 cm 108 m to sketch the EarthMoon system at apogee and at perigee and the Moons orbit. (The semiminor axis of the Moons orbit is roughly b = 3.84 108 m.)
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) Find the magnitude of the gravitational force between a planet with mass 7.50 1024 kg and its moon, with mass 2.70 1022 kg, if the average distance between their centers is 2.80 108 m. (b) What is the acceleration of the moon towards the planet? (c) What is the acceleration of the planet towards the moon?