Rock's Max Horizontal Distance from Volcano: 500m

In summary, the conversation is about calculating the maximum horizontal distance reached by rocks ejected from a 500m high volcano at a speed of 30 m/s. The relevant equation used is range = [(V initial)^2 x (sin 2A)]/[g], but the answer was incorrect due to not taking into account the height of the volcano. The formula y = yo + v*t - 0.5*g*t^2 can be used to relate the height and calculate the correct answer.
  • #1
peace1709
5
0
A 500m high volcano eject rocks at a speed 30 m/s.What is max horizontal distance reached by the rock?
 
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  • #2
Hi peace1709, Welcome to PF.
What do you about the problem?
In what direction the rocks are moving?
which are the relevant equations?
 
  • #3
i use the equation range= [(V initial)^2 x (sin 2A)]/[g].
where v inital is 30 m/s and i assume A=45 degrees, and g=9.8 m/s^2
but i got the answer wrong.
 
  • #4
i got 91.7 m and its wrong, can u help me?
 
  • #5
In your calculation you have not taken into account the height of the volcano.
 
  • #6
oh ya.but i don't know how to relate the height. can u help me?
 
  • #7
You can use the formula
y = yo + v*t - 0.5*g*t^2.
Here v = vo*sinθ
And t = x/vo*cosθ
y is the final position of the rock and yo is the initial position of the rock.
 

FAQ: Rock's Max Horizontal Distance from Volcano: 500m

What is the significance of measuring a rock's max horizontal distance from a volcano?

The max horizontal distance of a rock from a volcano can provide valuable information about the strength and power of volcanic eruptions. It can also give insight into the potential impact of volcanic activity on surrounding areas.

How is the max horizontal distance of a rock from a volcano measured?

The max horizontal distance is typically measured using a tape measure or surveying equipment. Scientists may also use remote sensing techniques such as LiDAR or aerial photography to accurately measure the distance.

Can the max horizontal distance of a rock from a volcano change over time?

Yes, the max horizontal distance can change over time due to various factors such as volcanic activity, erosion, and tectonic movements. It is important for scientists to continuously monitor and measure this distance to track any changes.

What factors can affect the max horizontal distance of a rock from a volcano?

The max horizontal distance of a rock from a volcano can be influenced by the type and strength of volcanic eruptions, the composition and size of the rock, the terrain and topography of the surrounding area, and the prevailing wind and weather conditions.

How can the max horizontal distance of a rock from a volcano be used in scientific research?

Measuring the max horizontal distance of a rock from a volcano can aid in understanding the behavior and history of volcanic eruptions. It can also help in predicting future eruptions and assessing the potential impact on nearby communities and ecosystems.

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