A ball with a mass of #144 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #16 (kg)/s^2# and was compressed by #3/5 m# when the ball was released. How high will the ball go?

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Answer 1 · 2018-01-01T18:47:36

#h=2.04m" "#(2dps)

when the ball is released from the spring all the Elastic Potential energy will be given to Gravitational Potential energy at maximum height.

#EPE=1/2kx^2=1/2xx16xx(3/5)^2#

#EPE=72/25J#

#"now "GPE=EPE#

#mgh=72/25#

#0.144xx9.8xxh=72/25#

#1.4112xxh=72/25#

#:.h=72/(25xx1.4112)#

#h=2.04m" "#(2dps)