An object with m1 = 5kg is attached to a spring of negligible mass. This mass/spring...

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Physics

An object with m₁ = 5kg is attached to a spring ofnegligible mass. This mass/spring combination is then slidhorizontally on a frictionless surface with a velocity of 5m/stowards a stationary object with m₂ = 6kg. Upon impact,the spring compresses, then we examine two cases. First, find thevelocities of the two objects assuming the spring completelyrelaxes again after the interaction. Second, assume thatm₂, after they separate, slides up a frictionlessincline.
(a) What is the relative speed of the masses when the spring ismaximally compressed?
(b) When the spring is completely compressed, how much potentialenergy does it have?
(c) If the spring constant is k = 2000 N/m, by how much (whatdistance) is the spring compressed at that point?
(d) If the spring relaxes while still on at ground, what is thekinetic energy of m₂ just before it slides up thehill?
(e) If there is no friction on the hill, how high up the hilldoes m₂ go?
(f) If there is friction on the hill, and m₂ goes upthe hill to a height of 0.5 meters, how much energy wasdissipated?

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4.0 Ratings (527 Votes)

a Initial speed of mass is Inital speed of mass is at restWhen the masses come in to contact with the spring between themspeed of decreases and speed of increases At a certain instant both the masses will have the samespeed in the same direction This is the instant when the springhas maximum See Answer

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