Three different objects, all with different masses, are initiallyat rest at the bottom of a set of steps. Each step is of uniformheight d. The mass of each object is a multiple of the basemass m: object 1 has mass 4.90m, object 2 has mass 1.46m,and object 3 has mass m. When the objects are at the bottomof the steps, define the total gravitational potential energy ofthe three-object system to be zero.Each answer requires the numerical coefficient to analgebraic expression that uses some combination of thevariables m, g, and d, where g is the acceleration due togravity. Enter only the numerical coefficient. (Example: If theanswer is 1.23mgd, just enter 1.23)If the objects are positioned on the steps as shown, what isgravitational potential energy Ug.system of the system?If you redefine the reference height such that the totalpotential energy of the system is zero, how high ho above thebottom of the stairs is the new reference height?Now, find a new reference height h (measured from the baseof the stairs) such that the highest two objects have the exactsame gravitational potential energy.U₂g.system =ho =h =23mgddd

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