What Is the Maximum Angle Attained by a Particle Projected from Earth?

Now, you can solve for the maximum angle by setting the final kinetic energy equal to 0 and solving for theta. In summary, the conversation discusses the correct equation to use when calculating the maximum angle attained by a particle projected from the surface of the Earth with an initial speed of 4km/s. The equation is 1/2{mv2} - GMm/R=-GMm/(R+H) and the final kinetic energy must be set to 0 to solve for the maximum angle.
  • #1
harambe
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Homework Statement


A particle is projeccted from the surface of the Earth with an initial speed of 4km/s.Find the maximum angle attained by the particle.Radius of the earth=6400km and g=9.8m/s2

Homework Equations



KE1+U1=KE2+U2
[/B]

The Attempt at a Solution



So I tried to proceed by this method

1/2{mv2} - GMm/R=-GM/(R+H)

Is my equation right?

[/B]
 
Last edited:
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  • #2
You have the kinetic energy and the force/mass (which is the local acceleration due to gravity) in the same equation. So yes, your equation is incorrect. You are looking for the conservation of the total energy.
 
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  • #3
Oops .I had to use potential energyIs it right now
 
  • #4
If you are trying to calculate the altitude above the surface of the Earth, then almost. Take another look at the RHS of your equation..
 
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  • #5
harambe said:
Find the maximum angle
Angle? Altitude maybe?
As Dr Dr news mentions, you have a typo in your equation.
 
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  • #6
1/2{mv2} - GMm/R=-GMm/(R+H)
Is this correct
 
  • #7
That looks good.
 
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What is maximum height attained?

Maximum height attained is the highest point that an object reaches in its vertical motion. It is the furthest distance the object travels from its starting point.

What factors affect maximum height attained?

The factors that affect maximum height attained vary depending on the object and situation, but some common factors include initial velocity, launch angle, air resistance, and gravity.

How is maximum height attained calculated?

The calculation for maximum height attained involves using the basic kinematic equation for displacement: h = (v^2 * sin^2(theta)) / (2 * g), where h is the maximum height attained, v is the initial velocity, theta is the launch angle, and g is the acceleration due to gravity.

What is the difference between maximum height attained and peak height?

Maximum height attained and peak height are often used interchangeably, but technically they are different. Maximum height attained refers to the highest point reached in an object's motion, while peak height refers to the highest point reached in a single jump or leap.

Why is knowing maximum height attained important?

Knowing the maximum height attained can be important in many fields such as physics, engineering, and sports. It can help in understanding the motion of objects, designing structures and equipment, and optimizing athletic performance.

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