Finding the maximum height given multiple variables

AI Thread Summary
The discussion revolves around calculating the maximum height an object can reach when thrown from different celestial bodies. An object weighing 4.27 kg is thrown from Mercury with a known acceleration due to gravity and initial velocity, reaching a height denoted as y1. When the same object is thrown from Iapetus with a higher initial speed, the goal is to find the new maximum height, y2, expressed as a multiple of y1. The calculated result indicates that y2 equals 29.30 times y1. Participants are encouraged to show their calculations for further assistance.
kaitwhit
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Homework Statement



A 4.27-kg object is thrown vertically upward from the surface of Mercury, where the acceleration due to gravity is g1 = 3.70 m/s2. The initial velocity is v1, and the object reaches a maximum height of y1. What is the maximum height, y2, if the object is thrown with a speed of v2 = 1.99v1 from the surface of Saturn\'s moon Iapetus? The acceleration due to gravity on Iapetus is g2 = 0.223 m/s2. Give your answer as a multiple of y1.


Homework Equations


Vf2- Vi2 = 2a∆y


The Attempt at a Solution


y2=29.30 y1
 
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kaitwhit said:

Homework Statement



A 4.27-kg object is thrown vertically upward from the surface of Mercury, where the acceleration due to gravity is g1 = 3.70 m/s2. The initial velocity is v1, and the object reaches a maximum height of y1. What is the maximum height, y2, if the object is thrown with a speed of v2 = 1.99v1 from the surface of Saturn\'s moon Iapetus? The acceleration due to gravity on Iapetus is g2 = 0.223 m/s2. Give your answer as a multiple of y1.


Homework Equations


Vf2- Vi2 = 2a∆y


The Attempt at a Solution


y2=29.30 y1
Hi kaitwhit, Welcome to Physics Forums.

Try using the x2 and x2 buttons on the edit panel header to create superscripts and subscripts in your equations :wink:

Can you show the work you did to arrive at your result so that we can know how to help?
 
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