A block of mass 12.0 kg slides from rest down a frictionless 35.0° incline and is stopped by a stron

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A block of mass 12.0 kg slides from rest down a frictionless 35.0° incline and is stopped by a strong spring with k = 3.00 x 10^4 N/m. The block slides 3.00 m from the point of release to the point where it comes to rest against the spring. When the block comes to rest, how far has the spring been compressed?
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How would you solve this if only the distance of the blocks initial point up to the point where it touches the spring was given?

its.moonjc
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In a problem im working on, it asks the same question, except it says the box travels 0.38 meters *before* it reaches the spring. If the angle of the plane is 25 degrees, the mass is 4.1 kg, and the force constant of the spring is 445 N/m, how do I find the compression length then?

emperortimeo
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Why can't all physics professors teach as simply as this bruh

t.my
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Shouldn't there be some Gravitational potential energy left at the end, on the right side at the equation? Who said the spring would compress fully to the ground

RithwikSudharsan
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What if we were asked to solve for final velocity? and why do you use sine instead of cosine? shouldn't the force applied be in the x axis?

sean_tristan