A 2.0x 10° kg rocket is launched from the surface of the Earth. What is the escape speed (in km/s) of the rocket with respect to its gravitational interaction with the Sun? The initial distance of the rocket from the Sun is 1.5 x 1011 m and the mass of the Sun is 1.99 x 1030 kg. You may ignore all other gravitational interactions for the rocket and assume that the system is isolated. Hint: the mass of the Earth is 5.94 x 1024 kg and use G = 6.67 x 10-11 Jm

A 2.0x 10° kg rocket is launched from the surface of the Earth. What is the escape speed (in km/s) of the rocket with respect to its gravitational interaction with the Sun? The initial distance of the rocket from the Sun is 1.5 x 1011 m and the mass of the Sun is 1.99 x 1030 kg. You may ignore all other gravitational interactions for the rocket and assume that the system is isolated. Hint: the mass of the Earth is 5.94 x 1024 kg and use G = 6.67 x 10-11 Jm

Name: A 2.0x 10° kg rocket is launched from the surface of the Earth. What
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: A 2.0x 10° kg rocket is launched from the surface of the Earth. What is the escape speed (in km/s) of the rocket with respect to its gravitational interaction with the Sun? Theinitial distance of the rocket from the Sun is 1.5 x 1011 m and the mass

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.62P

See similar textbooks

Similar questions

A single-stage rocket of mass 308 metric tons (not including fuel) carries a payload of 3150 kg to low-Earth orbit. The exhaust speed of the rockets cryogenic propellant is 3.20 103 m/s. a. If the speed of the rocket as it enters orbit is 8.00 km/s, what is the mass of propellant used during the rockets burn? b. The rocket is redesigned to boost its exhaust speed by a factor of two. What is the mass of propellant used in the redesigned rocket to carry the same payload to low-Earth orbit? c. Because the exhaust speed of the redesigned rocket is increased by a factor of two, why is the fuel consumption of the redesigned rocket not exactly half that of the original rocket?
Find the center of mass of a cone of uniform density that has a radius R at the base, height h, and mass M. Let the origin be at the center of the base of the cone and have +z going through the cone vertex.
A spaceship at rest relative to a nearby star in interplanetary space has a total mass of 2.50 104 kg. Its engines fire at t = 0, steadily burning fuel at. 76.7 kg/s with an exhaust speed of 4.25 103 m/s. Calculate the spaceships (a) acceleration at t = 0, (b) mass at t = 125 s, (c) acceleration at t = 125 s, and (d) speed at t = 125 s, relative to the same nearby star.
An average-sized asteroid located 5.0x107 km from the centre of the Earth with mass 2.0x1013 kg is detected headed directly toward Earth with a speed of 2.0 km/s. What will its speed before it hits the Earth's atmosphere (400 km above ground)?
A space vehicle is traveling at 4450 km/h relative to the Earth when the exhausted rocket motor is disengaged and sent backward with a speed of 82 km/h relative to the command module. The mass of the motor is four times the mass of the module. What is the speed (km/h) of the command module relative to Earth after the separation? (Note: this answer requires slightly higher precision than normal.)
A 1024-kg blue ball is dropped from an initial z-position of 5.4 x 106 m through the center of a planet with radius 6.4 x 106 m. If the mass of the planet is 45.8 x 1015 kg, measure the displacement of the ball at time t = 6 s?
Find the kinetic energy for two masses, m1=(64±3)Kg and m2=(136±4)Kg, traveling together at a velocity v=(5.0±1.5)m/s. Hint: the equation for kinetic energy is E = 1/2mv^2, where m is the total mass (m1+m2).
A team of astronauts is on a mission to land on and explore a large asteroid. In addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. With what minimum initial speed vesc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? Assume that the asteroid is approximately spherical, with an average density ? = 2.67 × 106 g/m3 and volume V =1.71 × 1012 m3. Recall that the universal gravitational constant is G = 6.67 × 10-11 (Nm2)/(kg2).
On Mars, a ball is rolling from a ground to a hill, and we know the height of the hill, Z, is 10 m, and the initial velocity ofthe ball on the ground and the final velocity on the hill are known: V1 = 20 m/s and V2 = 10 m/s, respectively. The mass ofthe ball, m, is 4 kg. The gravitational acceleration on Mars, gMars, is 3.7 m/s2. Please calculate 1) the change in kineticenergy, ΔKE, in J and 2) the change in potential energy, ΔPE, in J, of the ball for the rolling process.
A space vehicle is traveling at 4450 km/h relative to the Earth when the exhausted rocket motor is disengaged and sent backward with a speed of 64 km/h relative to the command module. The mass of the motor is four times the mass of the module. What is the speed (km/h) of the command module relative to Earth after the separation?
(Gauss's Law for Mass) Journey through the Center of the Earth. A 1024-kg blue ball is dropped from an initial z-position of 4 x 106 m through the center of a planet with radius 8.1 x 106 m. If the mass of the planet is 40.9 x 1015 kg, measure the displacement of the ball at time t = 9 s?