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compression KE question

spring constant is 1220nm^-1.

a ball is shot upwards, weighing 25g.
when spring compressed by 36mm work done is 0.81j, and if epe converted into KE, speed of ball is 8.05 ms^-1.

Question asks for compression of spring needed for ball to leave spring w/twice the speed (16.1ms^-1).

using the KE equation, i found that the KE needed would be 0.81*4, which is 3.24J. However I don't know how you would substitute that back to find the compression needed
Original post by Deathlotus
spring constant is 1220nm^-1.

a ball is shot upwards, weighing 25g.
when spring compressed by 36mm work done is 0.81j, and if epe converted into KE, speed of ball is 8.05 ms^-1.

Question asks for compression of spring needed for ball to leave spring w/twice the speed (16.1ms^-1).

using the KE equation, i found that the KE needed would be 0.81*4, which is 3.24J. However I don't know how you would substitute that back to find the compression needed


@samb1234


Double the compression. Energy stored in the spring is proportional to extension/compression squared, so for 4times the energy need 2 times the compression

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