Finding Energy while knowing intial Y and desired x

  • Thread starter sfishman59
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In summary, to launch an object from a 1.7526 meter platform to a distance of 1.8288 meters, the initial speed and angle must be calculated using the standard constant acceleration equations with a = 0 and a = -g. The hypotenuse does not play a role in this calculation.
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sfishman59
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Homework Statement



An object is launched at x m/s from a 1.7526 meter platform. How much energy must be exerted for the object to be launched 1.8288 meters?

Homework Equations



Not Sure

The Attempt at a Solution



I made a right triangle and found that the hypotenuse (or distance that the object will need to travel) is 2.532888 meters.
 
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  • #2
welcome to pf!

hi sfishman59! welcome to pf! :wink:

do you mean that the object is launched at an unknown angle from 1.7526 m above the ground, and has to land on the ground 1.8288 m away?

the hypotenuse has nothing to do with it

call the initial speed v and the initial angle θ, and use the standard constant acceleration equations in the x and y directions (separately, with a = 0 and a = -g) …

show us what you get :smile:
 

1. How do I find the energy when given the initial Y and desired X values?

The energy can be found by using the equation E = mgh, where E is the energy, m is the mass, g is the acceleration due to gravity, and h is the change in height. In this case, the initial Y value and desired X value can be used to calculate the change in height (h).

2. Can I use any units for the initial Y and desired X values?

Yes, as long as the units are consistent throughout the equation. For example, if the initial Y value is given in meters and the desired X value is given in centimeters, both values should be converted to the same unit before calculating the change in height (h).

3. Is there a specific formula for finding energy when given initial Y and desired X?

Yes, the formula E = mgh is commonly used to find energy when given initial and final height values. However, there may be other formulas that can be used depending on the specific situation, such as if there are other factors affecting the change in height.

4. How accurate is the energy calculation when using initial Y and desired X values?

The accuracy of the energy calculation depends on the accuracy of the initial and desired values given. If the values are measured or estimated with a high level of precision, the energy calculation will also be more accurate.

5. Can I use this method to find energy for any type of system?

The equation E = mgh can be used to find energy for systems where there are changes in height involved, such as objects falling due to gravity or a roller coaster ride. However, for other types of systems, different equations and methods may need to be used to calculate the energy.

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