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an ideal spring is used to stop blocks as they slide along a table without friction. a 0.90 kg block traveling at a speed of 2.4 m/s can be stopped over a distance of 0.14 m once it makes contact with the spring. a rectangular block on a level surface moves at velocity v to the right towards a spring that rests on the surface and is attached to a fixed mount on the right. what distance would a 1.15 kg block travel after making contact with the spring if the block is traveling at a speed of 3.6 m/s before it makes contact with the spring?



Answer :

The distance moved by the block as follows by using Law of conservation energy is 0.0173N/m.

Apply law of conservation energy is,

1/2m1v1^2 = 1/2 k1x1^2

k1 = m1 v1^2/x1^2

   =117.5 N/m

1.15 Kg block :-

1/2m2v2^2 = 1/2 k1x2^2

x2 =[tex]\sqrt{m2v2^{2} }[/tex]/ k1

x2 = 0.0173 N/m

According to the law of conservation of energy, a system that isn't connected to any other system has a fixed amount of total energy that is considered to be preserved over time. Energy cannot be created or destroyed; it can only be transformed or transferred from one form to another, Traditionally, conservation of mass and energy were separate concepts. However, special relativity demonstrated how mass and energy are related to one another through the equation E = mc2, and as a result, science now holds that mass-energy are conserved as a whole. This implies that any mass-containing object can theoretically transform into pure energy and vice versa. However, it is thought that this is only feasible under the most extreme physical circumstances, such as those that probably existed in the universe right after the Big Bang or when black holes emit Hawking radiation.

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