(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.24 x 104 m/s relative to the Sun. What would its speed bewhen it is very far from the Earth (in m/s)? Ignore atmospheric friction, the effects of other planets, and the rotation of the Earth. (Consider the mass of the Sun inyour calculations.)5.11*10**4Your response differs from the correct answer by more than 10%. Double check your calculations. m/s(b) What If? The speed provided in part (a) is very difficult to achieve technologically. Often, Jupiter is used as a "gravitational slingshot" to increase the speed of a probeto the escape speed from the solar system, which is 1.85 x 104 m/s from a point on Jupiter's orbit around the Sun (if Jupiter is not nearby). If the probe is launchedfrom the Earth's surface at a speed of 4.10 x 104 m/s relative to the Sun, what is the increase in speed needed from the gravitational slingshot at Jupiter for the spaceprobe to escape the solar system (in m/s)? (Assume that the Earth and the point on Jupiter's orbit lie along the same radial line from the Sun.)m/sNeed Help?Read It

Answered: Image /qna-images/answer/1b798310-d6df-4efe-995c-3a7b25119d6b.jpg

Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.24 x 104 m/s relative to the Sun. What would its speed be when it is very far from the Earth (in m/s)? Ignore atmospheric friction, the effects of other planets, and the rotation of the Earth. (Consider the mass of the Sun in your calculations.)

Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.24 x 104 m/s relative to the Sun. What would its speed be when it is very far from the Earth (in m/s)? Ignore atmospheric friction, the effects of other planets, and the rotation of the Earth. (Consider the mass of the Sun in your calculations.)

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter13: Gravitation

Section: Chapter Questions

Problem 84CP: Show that the period of orbit for two masses, m1 and m2 , in circular orbits of radii r1 and r2 ,...

See similar textbooks

Similar questions

Check Your Understanding By what factor must the radius change to reduce the orbital velocity of a satellite by one-half? By what factor would this change the period?
Show that the period of orbit for two masses, m1 and m2 , in circular orbits of radii r1 and r2 , respectively, about their common center-of mass, is given by T=2r3G(m1+m2) where r=r1+r2 . (Hint: The masses orbit at radii r1 and r2 , respectively where r=r1+r2 . Use the expression for the center-of-mass to relate the two radii and note that the two masses must have equal but opposite momenta. Start with the relationship of the period to the circumference and speed of orbit for one of the masses. Use the result of the previous problem using momenta in the expression for the kinetic energy.)
If a spacecraft is headed for the outer solar system, it may require several gravitational slingshots with planets in the inner solar system. If a spacecraft undergoes a head-on slingshot with Venus as in Example 11.6, find the spacecrafts change in speed vS. Hint: Venuss orbital period is 1.94 107 s, and its average distance from the Sun is 1.08 1011 m.
Check Your Understanding Assume you are in a spacecraft in orbit about the Sun at Earth’s orbit, but far away from Earth (so that it can be ignored). How could you redirect your tangential velocity to the radial direction such that you could then pass by Mars’s orbit? What would be required to change just the direction of the velocity?
A rocket is launched straight up from the earth's surface at a speed of 1.90×10^4 m/s. What is its speed when it is very far away from the earth?
Two satellites A and B go round the planet P in circular orbits having radii 4R and R respectively. If the speed of the satellite A is 3v, then the speed of satellite B will be.....
When a falling meteoroid is at a distance above the Earth's surface of 3.30 times the Earth's radius, what is its acceleration (m/s2 towards earth) due to the Earth's gravitation?
Two identical uniform spheres A and B, with mass M=M= 1.00 [kg], are placed 0.500 [m] away from another spherical mass C with mass m=m= 0.300 [kg] as shown: If mass C is released from rest, what is its net acceleration? Assume that only the gravitational forces from spheres A and B act on C. State also the direction if it is upward or downward.
Answer without rounding off: (COLLAB 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 3.8 x 106 m through the center of a planet with a radius of 8.5 x 106 m. If the mass of the planet is 48.8 x 1015 kg, measure the displacement of the ball at time t = 7 s?
The weight of a particle varies with altitude such that ? = m(gro2)/r2, where ?0 is the radius of the earth and ? is the distance from the particle to the earth’s center. If the particle is fired vertically with a velocity ?0 rom the earth’s surface, determine its velocity as a function of position ?. What is the smallest velocity ?0 required to escape the earth’s gravitational field, what is the time required to reach the altitude? Show complete Solution and the FBD
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)?
Find the magnitude of the initia acceleration of a uniform sphere with mass .010kg if released from rest at point P and acted on only by forces of gravitational attraction of the spheres at A and B.