A stone is launched vertically upward with a speed of 8.0 km/s from the surface of the earth. Ignore air resistance, what height it will rise to? (Mass of earth is 5.98 × 10²ªkg and the radius of earth is 6.37 x 10°m)

A stone is launched vertically upward with a speed of 8.0 km/s from the surface of the earth. Ignore air resistance, what height it will rise to? (Mass of earth is 5.98 × 10²ªkg and the radius of earth is 6.37 x 10°m)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 50P

See similar textbooks

Related questions

Q: An artificial satellite is traveling 8.0 x 10 m/s in a circular orbit. Assuming g= 9.7 m/s at that…

Q: A newly discovered planet has a radius of 4.7×106 m and a mass of 5.5×1024 kg . If a rock on this…

A: Given : Radius of the Planet, R = 4.7×106 m, Mass of the Planet, M = 5.5×1024 kg, Required :…

Q: An object is released from rest when it is a height h above the surface of a planet of mass M and…

Q: The moon has a mass of 7.35×1022 kg and a radius of 1.738×106 m. At what speed must a rocket be…

A: Given data: Mass of moon (M) = 7.35×1022 kg Radius (r) = 1.738×106 m Required: Escape velocity (ve)

Q: A satellite is orbiting the earth in a perfectly circular orbit of radius 7.0 x 10³ km at constant…

Q: A satellite is in a circular orbit about the earth (MF = 5.98 x 1024 kg). The period of the…

Q: Neglecting air resistance, with what initial speed would you have to throw a ball into the air so…

A: To find the maximum height at which ball reaches.

Q: A rock far outside a solar system similar to ours is initially moving very slowly relative to its…

Q: The moon's period of revolution around the Earth is 27.3 d. How far away is the moon from the…

Q: at what height above the Earth's surface would your weight be 12% yor weight on the surface? use…

A: The gravitational acceleration at height h above the Earth's surface is given by, g'= g(1+hR)2

Q: At what height above the surface of the Earth , acceleration due to gravity will be 50% of its value…

A: At Earth’s surface,

Q: A 33.0 kg satellite has a circular orbit with a period of 2.60 h and a radius of 7.90 × 106 m around…

A: Given quantities Gravitational acceleration = 8.20m/s^2 Time period = 2.60h mass of satellite = 33kg…

Q: A rocket is launched off the surface of earth. If it has a speed of 2.62×103 m/s, what height above…

A: Consider the mass of the Earth be M, the rocket’s mass be m, the distance of the rocket, that is the…

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: What velocity would a satellite need to maintain a circular orbit at a height h = RE (RE = 6.37 x…

Q: In a shuttle craft of mass m = 4500 kg, Captain Janeway orbits a planet of mass M = 9.70 x 1025 kg,…

A: Given: mass of shuttle craft m = 4500 kg Mass of planet M = 9.70*1025 kg radius of circular orbit r…

Q: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant…

A: Given data: Speed of the satellite, v=1.1×104 m/s Mass of the planet, M=6.04×1024 kg Mass of the…

Q: With what horizontal speed must a satellite be projected at 100 miles above the surface of the earth…

A: Given, Height of satellite above the surface from earth h = 100 miles Radius of earth r = 4000…

Q: At 45° latitude, the gravitational acceleration as afunction of elevation z above sea level is given…

A: We are assuming g=a-2bz.

Q: In a shuttle craft of mass m = 4500 kg, Captain Janeway orbits a planet of mass M = 9.70 x 1025 kg,…

Q: Communications satellites are placed in a circular orbit where they stay directly over a fixed point…

A: A) We know that the period of a satellite in a geosynchronous orbit is equal to the period of earth,…

Q: A satellite is put into an elliptical orbit around the Earth. When the satellite is at its perigee,…

Q: A certain satellite travels in an approximately circular orbit of radius 1.0 × 106 m with a period…

A: Given data The radius is given as R = 1 x 106 m. The time period is given as T = 7 h 31 min.

Q: The ratio of the radius of the Earth to that of the Moon is 10. The ratio of acceleration due to…

Q: A meteoroid is traveling with a velocity of 10.0 km/s directly toward the Earth when it is located 5…

A: We will use conservation of mechanical energy to solve this.

Q: A moon travels around an unknown planet. If the period of the orbit is 1 day, and the radius of the…

Q: A satellite of Mars, called Phobos, has an orbital radius of 9.4 x 10° m and a period of 2.8 x 10*…

A: Orbital speed =(GM/R)1/2

Q: A rocket is fired from the earth towards the sun. At what distance from the earth’s centre is the…

A: let x be the distance where at which gravitational force is zero mean the force acting on the rocket…

Q: Ina shuttle craft of mass m = 4500 kg, Captain Janeway orbits a planet of mass M = 9.70 x 1025 kg,…

A: NOTE: According to the guidelines only 3 sub parts will be answered and for remaining ,please post…

Q: An artificial satellite is in a circular orbit d 600.0 km above the surface of a planct of radius r=…

A: Given data The orbit distance from the surface of earth is d = 600 km. The radius of the planet is…

Q: How far from the earth must a body be along a line toward the sun so that the sun’s gravitational…

A: To write the expression for gravitational force is, F=GMmr2 Force of earth is expressed by,…

Q: A satellite with mass 850 kg is placed in its orbit with the orbital radius of 4.5 x 107 m from the…

A: Gravitational Potential Energy is negative at the surface of Earth, because work is completed by the…

Q: A satellite circles the earth in an orbit whose radius is 1.90 times the earth's radius. The earth's…

A: Given data:Let the radius of the satellite, R = 1.90 x (6.38 x 106 ) = 12.122 x 106 mMass of the…

Q: At what height above Earth is the gravitational acceleration equal to 4.9 m/s^2 ?

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: A satellite circles the earth in an orbit whose radius is 5.00 times the earth's radius. The earth's…

Q: The moon has a mass of 7.35 x 10² kg and a radius of 1.738 × 10° m. At what speed must a rocket be…

A: Data provided: Mass of the moon (M) = 7.35×1022 kg Radius (R) = 1.738×106 m

Q: A satellite of Mars, called Phoebus, has an orbital radius of9.4 x 106 m and a period of 2.8 x 104…

A: the time period of the satellite is,

Q: In the diagram below, a moving skier on top of a circular hill of radius R, = 62.0 m fees that his…

A: Skier's apparent weight (in multiples of mg). given,radius of hillRh=62 mradius of valley(Rv)=43.0…

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: A planet has two small satellites in circular orbits around the planet. The first satellite 33) has…

A: Given The orbital distance from the planet to the first satellite is r1 = 2 x 107 m. The orbital…

Q: At what altitude above Earth's surface would the gravitational acceleration be 3.1 m/s? m

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

Question

problem 4

A stone is launched vertically upward with a speed of 8.0 km/s from the surface of the earth. Ignore air resistance,
what height it will rise to? (Mass of earth is 5.98 x 1024kg and the radius of earth is 6.37 x 10°m)

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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
How much work is required to lift a 500-kg satellite to an altitude of 1 · 10° m above the surface of the earth? The gravitational force is F = GMm/r², where M is the mass of the earth, m is the mass of the satellite, and r is the distance between them. The radius of the earth is 6.4 · 10° m, its mass is 6 · 10ª kg, %3D and in these units the gravitational constant, G, is 6.67 · 10~1,
How much work is required to lift a 900-kg satellite to an altitude of 3· 106 m above the surface of the Earth? The gravitational force is F = GMm/r², where M is the mass of the Earth, m is the mass of the satellite, and r is the distance between the satellite and the Earth's center. The radius of the Earth is 6.4 · 10° m, its mass is 6 · 1024 kg, and in these units the gravitational constant, G, is 6.67 · 10-11. Work = (include units; for this problem assume all given constants are accurate to many significant figures.)
The moon has a mass of 7.35 × 10^22 kg and a radius of 1.738 x 10^6 m. At what speed must a rocket be launched from the moon's surface so as not to fall back to the moon.
How much work is required to lift a 800-kg satellite to an altitude of 3 · 106 m above the surface of the Earth? The gravitational force is F = GMm/r², where M is the mass of the Earth, m is the mass of the satellite, and r is the distance between the satellite and the Earth's center. The radius of the Earth is 6.4 · 106 m, its mass is 6 · 10²4 kg, and in these units the gravitational constant, G, is 6.67. 10-¹¹. Work = (include help (units); for this problem assume all given constants are accurate to many significant figures.)
The Moon has a mass 7.35 x 1022 kg of and a radius of 1740 km. Air resistance can be neglected on the Moon. G = 6.67 x 10-11 m3 kg-1 s-2 is the universal gravitational constant. (a) If a ball is launched upwards from the surface of the moon with an initial speed of 1.15 km/s, what height maximum height above the surface of the moon will it reach? Give your answer in kilometers. (b) What is the escape speed of the moon? Give your answer in km/s.
A rock is dropped from high above the surface of the Earth. The initial speed is 0, and the initial height above the surface is NXRE where RẺ is the radius of the Earth. Calculate the speed of the rock when it hits the upper atmosphere, say at height 20 km above the surface. DATA for the Earth: radius RE 6.38×106 m; mass ME N = 15; (in m/s) = = 5.98x1024 kg.
A rocket is launched off the surface of earth. If it has a speed of 2.62×103 m/s, what height above the surface will it reach? Take the radius of the earth to be 6.37×106 m and the mass of the earth to be 5.98×1024 kg.
In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core is actually far from spherical, in this problem we’ll model it as a sphere with a mass of 1.0 x 1013 kg and a radius of 1.6 km. If a rock were dropped from a height of 1.0 m above the comet’s surface, how long would it take to hit the surface?
In this problem you will measure the gravitational constant in a series of “observational experiments,” making use of Newton’s law of gravitation and second law of motion as well as Kepler’s third law of planetary motion Suppose a rocket is launched as described in part (d) with an initial speed of vi = 494 m/s and attains a peak altitude of H = 12.7 km above the surface of Earth. Taking ME = 5.95×1024 kg and Ri = 6.41×106 m, what is the measured value of the gravitational constant, in units of N⋅m2/kg2?
A new planet has a mass of 2.0x10^24 kg, a radius of 4.5x10^6m, and no atmosphere. A 100 kg space probe is to be launched vertically from its surface. If the probe is launched with an initial kinetic energy of 6.0 x 10^8 J, the what will be its velocity when it reaches 5.2x10^6m from the center of the new planet?
Europa orbits Jupiter at a distance of 6.7 x 108 m from Jupiter's cloudtops (the surface of the planet). If Jupiter's mass is 1.9 x 1027 kg and radius is 6.8 x 107 m, what is the speed of Europa as it orbits in m/s? Round to the nearest hundredth. Don't worry about putting units, just put the number.