The trajectory of a rock ejected from the Kilauea volcano, with a velocity of magnitude 46.9...

The trajectory of a rock ejected from the Kilauea volcano, with a velocity of magnitude 46.9 m/s and at angle 35.1 degrees above the horizontal. The rock strikes the side of the volcano at an altitude of 39.1m lower than its starting point. Calculate the magnitude of the rock’s velocity at impact? Use g = 9.8 m/s².

Expert Solution

The total mechanical energy of the volcano + rock system would be conserved, i.e., mechanical energy at point A equals to mechanical energy at B. The volcano is neither moving nor changing it's position hence, it's change in mechanical energy is zero, thus, we have to just calculate the mechanical energy of rock at points A and B.

genius_generous answered 6 months ago

A large boulder is ejected vertically upward from a volcano with an initial speed of 40.7...

A large boulder is ejected vertically upward from a volcano with an initial speed of 40.7 m/s . Air resistance may be ignored. A) At what time after being ejected is the boulder moving at a speed 20.3 m/s upward? B) At what time is it moving at a speed 20.3 m/s downward? C)When is the displacement of the boulder from its initial position zero? D)When is the velocity of the boulder zero? E)What is the magnitude of the acceleration...

The trajectory of a rock thrown from a height with an initial speed of 19.7 m/s...

The trajectory of a rock thrown from a height with an initial speed of 19.7 m/s is shown in the figure below. Evaluate the magnitude of the gravitational field at the surface of the planet. The planet has no atmosphere.

What is the maximum velocity of electrons ejected from a material by 90 nm photons, if...

What is the maximum velocity of electrons ejected from a material by 90 nm photons, if they are bound to the material by 4.73 eV?

A girl throws a rock horizontally, with a velocity of 10 m/s, from a bridge. It...

A girl throws a rock horizontally, with a velocity of 10 m/s, from a bridge. It falls 20 m to the water below. a) How long does it take for the rock to reach the water? b) How far does the rock travel horizontally before striking the water, assuming negligible air resistance? c) what is the final horizontal velocity of the ball ? d)What is the final vertical velocity of the ball? e) the magnitude of the final velocity of...

A bullet of mass m is fired from the initial ground velocity of magnitude v0 at...

A bullet of mass m is fired from the initial ground velocity of magnitude v0 at elevation angle θ0. (a) Express her momentum relative to the location of the shot as a function of time. (b) How fast does the momentum change? (c) Calculate the size vector r × F directly and compare it with the result of problem (b). Why both results are identical

Find the following system of equations find the equation of the phase trajectory, the phase velocity...

Find the following system of equations find the equation of the phase trajectory, the phase velocity and the fixed points: (Qualitative method) Also, sketch a few trajectories and show the directions of a point on the trajectories. My question is that what is the concept of drawing the trajectories no matter what it is a circle, ellipse or straight line

A 0.5-kg rock is thrown with a velocity of 6 meters per second from a height...

A 0.5-kg rock is thrown with a velocity of 6 meters per second from a height of 10 meters. What is the total energy? (Use g=10 m/s2. The answer will be in joules, but you DO NOT NEED to write the units

1-Describe how rock musicals changed the trajectory of musical theater and give an example of two...

1-Describe how rock musicals changed the trajectory of musical theater and give an example of two early rock musicals.?

What is the magnitude of the bacterium's average velocity for the entire trip?

The bacterium Escherichia coli (or E. coli) is a single-celled organism that lives in the gut of healthy humans and animals. When grown in a uniform medium rich in salts and amino acids, these bacteria swim along zig-zag paths at a constant speed of 20 um/s. The figure shows the trajectory of an E. coli as it moves from point A to point E. Each segment of the motion can be identified by two letters, such as segment BC. What is...

What is the magnitude of the particle velocity and the acoustic intensity at a distance of...

What is the magnitude of the particle velocity and the acoustic intensity at a distance of 0.25 m, 1mand 10m from a small spherical source of radius 0.01 m and volume velocity of 0.02 m3/s operating at a frequency of 200 Hz in air.

Question