(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.96 x 10“ m/s relative to the Sun. What would its speed be when it is very far from theEarth (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.)354790Your response differs from the correct answer by more than 100%. 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 probe to the escape speed fromthe solar system, which is 1.85 x 10“ m/s from a point on Jupiter's orbit around the Sun (if Jupiter is not nearby). If the probe is launched from the Earth's surface at a speed of 4.10 × 10“ m/srelative to the Sun, what is the increase in speed needed from the gravitational slingshot at Jupiter for the space probe to escape the solar system (in m/s)? (Assume that the Earth and the pointon Jupiter's orbit lie along the same radial line from the Sun.)16400000X m/s

given, Vi = 5.96x104 m/s from conservation of energy, the initial total energy of the object at the…

(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.96 x 10 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.) 354790 Your response differs from the correct answer by more than 100%. m/s

(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.96 x 10 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.) 354790 Your response differs from the correct answer by more than 100%. m/s

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

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 69P: A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0...

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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
In a later chapter, you will find that the weight of a particle varies with altitude such that w=mgr02r2where r0is the radius of Earth and ris the distance from Earth’s center. If the particle is fired vertically with velocity v0from Earth’s surface, determine its velocity as a function of position r. (Hint: use adr=vdv, the rearrangement mentioned in the text.)
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On a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?
(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.78 × 10* 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.) 38107.8 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 probe to the escape speed from the solar system, which is 1.85 × 10“ m/s from a point on Jupiter's orbit around the Sun (if Jupiter is not nearby). If the probe is launched from 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 space probe to escape the solar system (in m/s)? (Assume that the Earth and the point on Jupiter's orbit lie along the…
MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) A spaceship is projected vertically upward from the Earth's surface with an initial speed of 6.91 km/s, but unfortunately does not have a great enough speed to escape Earth's gravity. What maximum height does the spaceship reach (in m)? Ignore air resistance. 3952535 (b) A meteoroid falls from a height of 1.91 x 107 m above the surface of the Earth. What is the speed (in m/s) when the meteorite hits the Earth? Assume the meteoroid is initially at rest with respect to the Earth. (Note that a meteorite is a meteoroid that makes it to Earth's surface.) 10698.65 X The fall of the meteorite is the time-reversal of the upward flight of the projectile, so it is described by the same energy equation as in part (a). m/s. Need Help? Read It Si
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This is a proportional reasoning calculation. You will want to set up equations, but mostly to look at how the orbital distance affects the orbital velocity, or to set up a ratio. (Once you know how it changes you'll have to multiply by the value at the surface to get an answer in m/s.) At the surface of the exoplanet HD179079 b, the orbital velocity would be 1.72E+4 m/s. What would the orbital velocity be 8 radii above the surface? m/s. Note: If your answer requires scientific notation, remember that OWL uses "e" notation: 1.1 x 105 is 1.1e5 to OWL.
(a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an initial speed of 5.34 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.) 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 probe to 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 launched from 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 space probe to escape the solar system (in m/s)? (Assume that the Earth and the point on Jupiter's orbit lie along the same…
A 238U nucleus is moving in the x direction at 5.0×105 m/s when it decays into an alpha particle (4He) and a 234Th nucleus. If the alpha particle moves off at 22 degrees above the x axis with a speed of 1.1×107 m/s, a) What is the speed of the thorium nucleus and b) What is the direction of the motion of the thorium nucleus ( degrees clockwise from the x axis)?
A cyclotron is a machine that can be used to accelerate charged particles to achieve large kinetic energies. The resulting beams of highly energetic particles then can be used for many medical applications, including Proton Therapy (a more precise form of "radiation" used in the treatment of some cancers). If a proton (of mass 1.673x10-27kg) is accelerated to its maximum velocity inside a dee with radius 4.46cm (this is the radius you would use for the "r" term in the centripetal acceleration), and if the magnetic field has a magnitude of 3.49x10-2T, what is the resulting velocity of the proton in units of km/s (kilometer per second)?
(a) A spaceship is projected vertically upward from the Earth's surface with an initial speed of 6.66 km/s, but unfortunately does not have a great enough speed to escape Earth's gravity. What maximum height does the spaceship reach (in m)? Ignore air resistance. 2471510.204 x m (b) A meteorold falls from a height of 3.31 x 10 m above the surface of the Earth. What is the speed (in m/s) when the meteorite hits the Earth? Assume the meteorold is Initially rest with respect to the Earth. (Note that a meteorite is a meteoroid that makes it to Earth's surface.) 25470.76756 x m/s