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A solid steel sphere of radius 1.50cm and density of 8045 kg/m³ was launched on a...

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Physics

A solid steel sphere of radius 1.50cm and density of 8045 kg/m³was launched on a horizontal frictionless surface. The sphere waslaunched using a spring gun which possessed a spring with a forceconstant of 35.6 N/m. The spring was compressed 30.0 cm and thesphere was launched. At the end of the frictionless surface (thatwas 0.955 m above the floor), the sphere rolled (no slipping) up a25° ramp with height of 1.15m and then launched off of the ramp.The coefficient of rolling friction between the sphere and ramp was0.0500. What was the speed of the sphere at the end of thefrictionless surface (when it was sliding - not rolling) ? What wasthe translational speed of the sphere at the very beginning of theramp (when it transitioned to perfect rolling (no slipping))? Whatwas the sphere's rotational speed (in revolutions per minute) atthe very top of the ramp? Ignoring drag, at what horizontaldistance from the end of the ramp did the sphere strike the floor?What was the greatest height the sphere achieved (above thefloor)?

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