Calculating Speed and Distance for a Body on a Stretched Spring

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The discussion focuses on calculating the speed and minimal distance of a body on a stretched spring. The body, initially at point A with a relaxed spring length of 0.6m, is pulled to point B (0.25m away) by a force of 20N. The calculated speed at point B is 3.87 m/sec, derived from the equation where total work equals the final energy. The user encounters difficulty determining the minimal distance to the wall, as their calculations suggest an amplitude exceeding the spring's relaxed length, which is not feasible.

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transgalactic
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i added a picture of the problem!

when the body is at point A the spring
is in relaxed status.
it lengths in relaxed statues is 0.6m

then a power P =20N is pulling the body to point B AB=0.25m
i was asked what is his speed when it reaches point B

so i made an equation that the total work equals the energy in the end
minus 0 (because there were no energy at the start)
i got that the speed of the body is square root of 15
v=3.87m/sec

the power P stops working a point B permemantly.
now i am being asked

what is the minimal distance that that body will get to the wall?

i tried to do the equation the bodies kinetic energy equals to its spring potential energy
it doesn't work i get that the amplitude is longer than 0.6m (not possible)
please help
 

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transgalactic said:
so i made an equation that the total work equals the energy in the end
minus 0 (because there were no energy at the start)
i got that the speed of the body is square root of 15
v=3.87m/sec

My calculation agrees.

the power P stops working a point B permemantly.
now i am being asked

what is the minimal distance that that body will get to the wall?

i tried to do the equation the bodies kinetic energy equals to its spring potential energy
it doesn't work i get that the amplitude is longer than 0.6m (not possible)
please help

Can we see your steps please?
 

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