The first active volcano observed outside the earth was discovered in 1970 on Io, one of the moons of jupiter. The volcano was observed ejecting material to the height of about 3x105m. Given the acceleration of gravity on Io is 1.8 m/s2. Find: a. The initial velocity of the ejected material. b. What is the velocity at half that height?

The first active volcano observed outside the earth was discovered in 1970 on Io, one of the moons of jupiter. The volcano was observed ejecting material to the height of about 3x105m. Given the acceleration of gravity on Io is 1.8 m/s2. Find: a. The initial velocity of the ejected material. b. What is the velocity at half that height?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 79PQ

See similar textbooks

Similar questions

A man drops a rock into a well, (a) The man hears the sound of the splash 2.40 s after he releases the rock from rest. The speed of sound in air (at the ambient temperature) is 336 m/s. How far below the top of the well is the surface of the water? (b) What If? II the travel time for the sound is ignored, what percentage error is introduced when the depth of the well is calculated?
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?
An astronaut lands on a newly discovered planet (that has a nice gravitational constant). He proceeds to jump out of the spacecraft and onto the planet's surface. His height above the ground (in feet) after t seconds is given by the function h (t) =-3t2 +12t +36. A. How high off the ground is the astronaut after 1 second? B. What is the astronaut's velocity after 1 second? Is he traveling up or down? C. How fast is the astronaut traveling when he lands on the planet? D. When will the astronaut be at his highest point in the jump? E. Is the astronaut speeding up or slowing down after 2 seconds? At what rate?
A small rocket with a booster blasts off and heads straight upwards. When at a height of 4km and a velocity of 250.0 m/s, it releases its booster. a. What is the maximum height the booster attains?b. What is the velocity of the booster at a height of 6.0 km? Neglect air resistance
a.) A soccer player kicks a rock horizontally off a 30 m high cliff into a pool of water. If the player hears the sound of the splash 2.64 s later, what was the initial speed given to the rock (in m/s)? Assume the speed of sound in air is 343 m/s. b.) If the temperature near the cliff suddenly falls to 0°C, reducing the speed of sound to 331 m/s, what would the initial speed of the rock have to be (in m/s) for the soccer player to hear the sound of the splash 2.64 s after kicking the rock?
The earth's crust is broken up into a series of more-or-less rigid plates that slide around due to motion of material in the mantle below. Although the speeds of these plates vary somewhat, they are typically about 5.2 cm/ycm/y. Assume that this rate remains constant over time. a) If you and your neighbor live on opposite sides of a plate boundary at which one plate is moving northward at 5.2 cm/ycm/y with respect to the other plate, how far apart do your houses move in a century? Express your answer in meters b) Los Angeles is presently 550 kmkm south of San Francisco, but is on a plate moving northward relative to San Francisco. If the 5.2 cm/ycm/y velocity continues, how many years will it take before Los Angeles has moved up to San Francisco? Express your answer in years.
An object thrown vertically upward from the surface of a celestial body at a velocity of24 m/s reaches a height of s=−0.3t^2+24t meters in t seconds. a. Determine the velocity v of the object after t seconds. b. When does the object reach its highest point? c. What is the height of the object at the highest point? d. When does the object strike the ground? e. With what velocity does the object strike the ground? f. On what intervals is the speed increasing?
A rifle is capable of shooting a bullet to an initial speed of 200m/s, if it is shot 60degrees upward, what is the maximum range? Neglect air resistance and consider gravity is constant 9.81m/s^2. a. 3352.1 b. 3531.2 c. 5132.3 d. 5331.2
1. A 25-kg projectile is fired vertically upward from the ground, if the velocity is 35m/s at 5m above the ground. Determine the maximum height (from the ground) in meters to which it will travel if a. Atmospheric resistance is neglected. b. Atmospheric resistance is measured a. F,=0.01v (in Newtons), where v is the speed of the projectile at any instant, measured in m/s. (
Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = ν'(t) = -g, where g = 9.8 m/s2.a. Find the velocity of the object for all relevant times.b. Find the position of the object for all relevant times.c. Find the time when the object reaches its highest point. What is the height?d. Find the time when the object strikes the ground. A payload is released at an elevation of 400 m from a hot-air balloonthat is rising at a rate of 10 m/s.
Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = ν'(t) = -g, where g = 9.8 m/s2.a. Find the velocity of the object for all relevant times.b. Find the position of the object for all relevant times.c. Find the time when the object reaches its highest point. What is the height?d. Find the time when the object strikes the ground. A payload is dropped at an elevation of 400 m from a hot-air balloonthat is descending at a rate of 10 m/s.
Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = ν'(t) = -g, where g = 9.8 m/s2.a. Find the velocity of the object for all relevant times.b. Find the position of the object for all relevant times.c. Find the time when the object reaches its highest point. What is the height?d. Find the time when the object strikes the ground. A stone is thrown vertically upward with a velocity of 30 m/sfrom the edge of a cliff 200 m above a river.