Astronomers have discoveredseveral volcanoes on Io, a moon of Jupiter. One of them, namedLoki, ejects lava to a maximum height of 2.00 * 105 m. (a) Whatis the initial speed of the lava? (The acceleration of gravity on Io is1.80 m>s2.) (b) If this volcano were on Earth, would the maximumheight of the ejected lava be greater than, less than, or the same ason Io? Explain.

Astronomers have discoveredseveral volcanoes on Io, a moon of Jupiter. One of them, namedLoki, ejects lava to a maximum height of 2.00 * 105 m. (a) Whatis the initial speed of the lava? (The acceleration of gravity on Io is1.80 m>s2.) (b) If this volcano were on Earth, would the maximumheight of the ejected lava be greater than, less than, or the same ason Io? Explain.

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

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 42P: A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s...

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A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.35 m high, and from there it will fall into a pool (Fig. P3.42). (a) Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, which is one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.42
Io, a satellite of Jupiter, is the most volcanically active moon or planet in the solar system. It has volcanoes that send plumes of matter over 500 km high. Due to the satellite's small mass, the acceleration due to gravity on Io is only 1.81 m/s2and Io has no appreciable atmosphere. Assume that there is no variation in gravity over the distance traveled. a)What must be the speed of material just as it leaves the volcano to reach an altitude of 380 km? b)If the gravitational potential energy is zero at the surface, what is the potential energy for a 33 kg fragment at its maximum height (500 km) on Io? c)How much would this gravitational potential energy be if it were at the same height (500 km) above earth?
lo, a satellite of Jupiter, is the most volcanically active moon or planet in the solar system. It has volcanoes that send plumes of matter over 500 km high. Due to the satellite's small mass, the acceleration due to gravity on lo is only 1.81 m/s², and lo has no appreciable atmosphere. Assume that there is no variation in gravity over the distance traveled ▼ What must be the speed of material just as it leaves the volcano altitude of 310 km? Express your answer in meters per second. V = Submit Part B 1ΫΠ| ΑΣΦ U = Request Answer [5] ΑΣΦ Submit ? If the gravitational potential energy is zero at the surface, what is the potential energy for a 35 kg fragment at its maximum height (500 km) on lo? Express your answer in joules. Request Answer m/s ? Constant J reach an
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At heights of 10 to 60 kilometers above the surface of the Earth, cosmic rays continually strike nuclei of oxygen and nitrogen atoms in the upper reaches of the atmosphere and produce muons (elementary particles of a mass about 207 times that of the electron). Some of the muons move vertically downward with a speed nearly that of light. Follow one of the muons on its way down. In a given sample of muons, half will decay to other elementary particles in 1.5 microseconds (1.5 × 10-6 seconds), as measured in a reference frame in which they are at rest. Half of the remainder decay in the next 1.5 microseconds, and so on. Analyze the results of this decay as observed in two different frames. Idealize the rather complicated details of the actual experiment to the following roughly equivalent situation: All muons are produced at the same height (45 kilometers); all muons have the same speed; all travel straight down; none are lost to collisions with air molecules on the way down. ●…