Three different objects, all with different masses are initially at rest at the bottom of a set of steps. Each step is of uniform height d. The mass of the object is a multiple of the base mass: m: object one had mass 3.10m, object 2 has mass 1.46m, and object 3 has mass m. Object 3 is on step one, object 2 is on step two, and object one is on step 3. define the total gravitational energy of the three object system to be zero when the objects are at the bottom of the steps. Each answer requires the numerical coefficient to an algebraic expression that uses some combination of variables m, g, and d, where g is the acceleration due to gravity. find a new reference height (measured from the base of the stairs) such that the highest two objects have the exact same gravitational potential energy?

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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Three different objects, all with different masses are initially at rest at the bottom of a set of steps. Each step is of uniform height d. The mass of the object is a multiple of the base mass: m: object one had mass 3.10m, object 2 has mass 1.46m, and object 3 has mass m. Object 3 is on step one, object 2 is on step two, and object one is on step 3.

define the total gravitational energy of the three object system to be zero when the objects are at the bottom of the steps.

Each answer requires the numerical coefficient to an algebraic expression that uses some combination of variables m, g, and d, where g is the acceleration due to gravity.

find a new reference height (measured from the base of the stairs) such that the highest two objects have the exact same gravitational potential energy?

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