The orbital speeds of the planets Mercury and Mars are v(Mercury) = 50 km / s and V(Mars) = 24.2 km / s. Assume that the orbits of these planets Mercury and Mars around the Sun are circular, find the ratio of the radii of their R (Mercury) / R (Mars) orbits.

The orbital speeds of the planets Mercury and Mars are v(Mercury) = 50 km / s and V(Mars) = 24.2 km / s. Assume that the orbits of these planets Mercury and Mars around the Sun are circular, find the ratio of the radii of their R (Mercury) / R (Mars) orbits.

An Introduction to Physical Science

14th Edition

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Chapter2: Motion

Section2.4: Acceleration In Uniform Circular Motion

Problem 2.6CE

See similar textbooks

Related questions

Q: A spaceship orbits around a planet at a height of 20 km from its surface. Assuming that only…

Q: Two planets in circular orbits around a star have speeds of v and 7v. (a) What is the ratio of the…

Q: Satellite A orbits the earth at a height 3.00 times the earth's radius. Satellite B orbits the earth…

A: Given, Satellite A is revolve around the earth at height,HA = 3ReSatellite B is at a height,HB =…

Q: The dwarf planet Pluto has a radius of 1.15 x 10^6 m and a mass of 1.2x10^22 kg . What is the value…

A: Given data: Radius of Pluto (r) = 1.15x106 m Mass of Pluto (m) = 1.2x1022 kg Need to determine the…

Q: The attractive gravitational force between a spherical body of mass M and another spherical body of…

A: ω=2πf Acceleration of satellite = ω2r r = radius of revolution = RE+h Force experienced by…

Q: The angle between the two radii of a circle of radius 2 m is 0.60 rad. What length of arc is…

A: Given:- The radius of the circle is R = 2 m The angle between the two circles is 0.60 rad Find:-…

Q: As the Earth travels around the Sun the Moon is traveling around the Earth. Find the minimum speed…

Q: Two planets in circular orbits around a star have speeds of v and 2v. (a) What is the ratio of the…

A: Let the mass of star = M The orbital velocity of first planet (v1) = v The orbital velocity of…

Q: A radar antenna is rotating and makes one revolution every 30 s, as measured on earth. However,…

Q: Two satellites are in circular orbits around a planet that has radius 9.00 x 106 m. One satellite…

A: Given : Mass of first satellite (m1) = 68 kg Orbital radius of first satellite (r1) = 5.00 x 107 m…

Q: When a falling meteoroid is at a distance above the Earth's surface of 2.3 times the Earth's radius,…

A: Given: Meteoroid is at a distance of 2.3 times of that of the Earth's radius.

Q: Two concentric spherical shells with uniformly distributed masses M1 = 994 kg and M2 = 104 kg are…

Q: At the Earth's surface a projectile is launched straight up at a speed of 10.0 km/s. To what height…

A: Launch speed (u) = 10000 msRadius of earth (R) = 6370000 m Mass of earth (M) = 6×1024 kg Let the…

Q: A satellite experiences a gravitational force of magnitude F on the surface of the earth. The radius…

Q: In a distant solar system, a planet of mass 5.0 x 1024 kg orbits a sun of mass 3.0 x 1030 kg at a…

Q: A 2400 kg satellite is in a circular orbit around a planet. The satellite travels with a constant…

Q: Two 65 kg astronauts leave earth in a spacecraft, sitting 1.6 m apart. How far are they from the…

A: mass of each astronaut (m)= 65 kg distance between astronauts (D) = 1.6 m let the distance of…

Q: a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in…

A: Given that mass of the meteoroid and mass of the planet and distance from the center of the planet…

Q: An astronaut, whose mission is to go where no one has gone before, lands on a spherical planet in a…

A: initial velocity, u = 0 m/s height, h = 1.9 m time, t = 0.48 s radius, R = 8.6 x 107 m

Q: You find yourself stranded on Phobos, a moon of Mars, has a radius of 11.1 x 10' m and a mass of…

A: We need to calculate at what speed should the ball be released in order to put it in an orbit of…

Q: In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core…

Q: compute the mass of the earth knowing that the moon orbits the earth every 29.5 days and is 386400…

Q: A planet has a radius of 4.00 x 10^6 m, and rotates so rapidly that an object on the equator feels…

A: Given R=4.00 x 106 W = mg10

Q: One model for a certain planet has a core of radius R and mass M surrounded by an outer shell of…

A: An outer shell of inner radius,

Q: A satellite circles the earth in an orbit whose radius is 2.22 times the earth's radius. The earth's…

Q: Let the average orbital radius of a planet be r. Let the orbital period be T. What quantity is…

A: Given: Let the average orbital radius of a planet be r. Let the orbital period be T. What quantity…

Q: In a total solar eclipse, it is possible for the moon to momentarily cover the sun for an observer…

A: Required : How does the moon cover the sun in total solar eclipse.

Q: The shuttle orbiter A is in a circular orbit of altitude 200 mi, while spacecraft B is in a…

A: In this question we simple determine position vector from A to B.

Q: A rocket is launched straight up from the earth's surface at a speed of 1.90×10^4 m/s. What is its…

Q: sun rays take about 8 minutes to reach the Earth surface travelling at constant speed v= 3,0 * 10^8…

Q: Consider a satellite of mass mị that orbits a planet of mass m2 in a circle a distance r from the…

A: Since you have asked multiple subparts, we will solve the first three for you. If you want a…

Q: A planet orbits a star, in a year of length 3.95 x 107 s, in a nearly circular orbit of radius 2.19…

Q: The masses and coordinates of three spheres are as follows: 20 kg, x = 0.50 m, y = 1.0 m; 40 kg,…

Q: A satellite is placed in a circular orbit to observe the surface of Mars from an altitude of (144…

A: Given data: The altitude of satellite is h=144 km. The equatorial radius of Mars is x=3397 km. The…

Q: A meteoroid is moving towards a planet. It has mass m = 0.18×109 kg and speed v1 = 3.8×107 m/s at…

A: Given that:m=0.18×109 kgv1=3.8×107 m/sR1=1.6×107 mR=0.26×107 mM=10×1025 kg

Q: A spacecraft orbiting the Earth has the following vectors: R=7016i + 5740j + 638k V=0.24i -…

A: Given , initial height is 638 km or 638000m which is the z component of the R vector. New height is…

Q: What is the period of revolution of a satellite with mass m that orbits the earth in a circular path…

A: When the satellite orbits the Earth, the centripetal force equals the gravitational force. Here, G…

Q: You are exploring a distant planet. When your spaceship is in a circular orbit at a distance of 630…

A: height of spaceship above the surface of a planet (h) = 630 km radius of planet (R) = 4.48×106 m…

Q: A satellite of mass 5500 kg orbits the Earth and has a period of 1.75 h. The mass of the Earth is…

Q: The mass of the earth is 5.98 x 1024 kg. A satellite of mass 525 kg circles the earth at a distance…

Q: An artificial satellite is in a circular orbit 7.10×10^2 km from the surface of a planet of radius…

Q: The moon orbits the earth along a path of radius 3.84 x 108 m , a spaceship of mass 30000 Kg orbits…

Q: The orbit of a Moon about its planet is ap- proximately circular, with a mean radius of 2.48 x 10°…

A: Given data The radius of the circular orbit of the moon is r = 2.48 x 108 m. The time period taken…

Q: Two identical uniform spheres A and B, with mass M = 1.00 [kg], are placed 0.500 [m] away from…

Question

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

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
A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69
The mean distance of a moon from a planet is 3.35×105 miles. Assuming that the orbit of the moon around the planet is circular with 1 revolution taking 26.1 days and 1 day on this planet taking 22 hours, what is the linear speed of the moon. Express your answer in miles per hour.
The Sun orbits the center of the Milky Way galaxy once each 2.60 × 108 years, with a roughly circular orbit averaging 3.00 × 104 light years in radius. (A light year is the distance traveled by light in 1 y.) Calculate the average speed of the Sun in its galactic orbit in m/s.
For this problem the average distance of the earth from the sun is about 1.5×10^8km. Assume that the earth's orbit around the sun is circular and that the sun is at the origin of your coordinate system.
The radius of the earth’s orbit around the sun (assumed to be circular) is 1.50 * 108 km, and the earth travels around this orbit in 365 days. (a) What is the magnitude of the orbital velocity of the earth, in m/s? (b) What is the magnitude of the radial acceleration of the earth toward the sun, in m/s2 ? (c) Repeat parts (a) and (b) for the motion of the planet Mercury (orbit radius = 5.79 * 107 km, orbital period = 88.0 days).
In the time of Johannes Kepler, it was believed that the orbit of Earth was circular, whereas the orbit of Mars was believed to be an oval (perhaps an ellipse), whose minor axis is 0.5% shorter than its major axis, so (a − b)/a ≈ 0.005. It was also known that the Sun is not at the center of this orbit; it is offset by about 10% of a. Kepler knew the geometry of ellipses very well, and recognized that this information made it quite likely that the orbit of Mars was actually an ellipse. Explain how he might have reached this conclusion (which was confirmed theoretically by Isaac Newton a half-century later).
The radius of the Earth RE = 6.378 × 106 m and the acceleration due to gravity at its surface is 9.81 m/s2. Calculate the altitude above the surface of Earth, in meters, at which the acceleration due to gravity is g = 2.1 m/s2.
The radius of the earth’s orbit around the sun (assumed circular) is 1.50 x 108 km and the earth travels around this orbit in 365 days. (a) What is the magnitude of the orbital velocity of the earth in m/s? (b) What is the radial acceleration of the earth toward the sun in m/s2?
According to Kepler's third law of planetary motion, the mean distance D, in millions of miles, from a planet in our solar system to the sun is related to the time P, in years, that it takes for the planet to complete a revolution around the sun, and the relationship is D = 93P 2/3. It takes the planet Pluto 248 years to complete a revolution around the sun. What is the mean distance from Pluto to the sun? What is the mean distance from Earth to the sun? Give your answers to the nearest million miles. from pluto to sun _____ million miles from earth to sun _____ million miles
A planet moves in an elliptical orbit around a star. vp is the component of the planet's linear velocity that is perpendicular to r, the position vector of the planet. Consider two points - A and B - on the orbit. The distance (from the star to the planet) rA and rв are related as follows: TA = 0.3 TB .Neither of these two distances is the shortest or longest distance. (a) Vp,B is the magnitude of vp at point B and VpA is the magnitude of vp at point A. Calculate the ratio "p.B Vp.A (b) Calculate the ratio of the angular speeds of the planet at the two points WB A & B: WA
The equatorial radius of the Earth is 6378 km and gravity at the equator is 9.780 m s-2. Compute the ratio m of the centrifugal acceleration at the equator to the gravitational acceleration at the equator. If the ratio m is written as 1/k, what is the value of k?