A ball with a mass of $350$ $350$ $g$ $g$ is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of $16$ $16$ $k g s^{- 2}$ $kgs^-2$ and was compressed by $\frac{7}{6}$ $7/6$ $m$ $m$ when the ball was released. How high will the ball go?

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A ball with a mass of $350$ $350$ $g$ $g$ is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of $16$ $16$ $k g s^{- 2}$ $kgs^-2$ and was compressed by $\frac{7}{6}$ $7/6$ $m$ $m$ when the ball was released. How high will the ball go?

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Answer 1 · 2016-06-21T09:06:48

The spring potential energy is given by $F = \frac{1}{2} k x^{2} = \frac{1}{2} \times 16 \times {(\frac{7}{6})}^{2} = 10.9$ $F=1/2kx^2=1/2xx16xx(7/6)^2=10.9$ $J$ $J$ . This will be converted to gravitational potential energy (but remember to express mass in the SI unit, $k g$ $kg$ , as $0.350$ $0.350$ $k g$ $kg$ ). $E_{p} = m g h$ $E_p=mgh$ . Rearranging, $h = \frac{E_{p}}{m g} = \frac{10.9}{0.35 \times 9.8} \approx 3.18$ $h=E_p/(mg)=10.9/(0.35xx9.8)~~3.18$ $m$ $m$ .

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A ball with a mass of $350$ $350$ $g$ $g$ is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of $16$ $16$ $k g s^{- 2}$ $kgs^-2$ and was compressed by $\frac{7}{6}$ $7/6$ $m$ $m$ when the ball was released. How high will the ball go?

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A ball with a mass of 350350 gg is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of 1616 kgs−2 kgs^-2 and was compressed by 767/6 mm when the ball was released. How high will the ball go?

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A ball with a mass of $350$ $350$ $g$ $g$ is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of $16$ $16$ $k g s^{- 2}$ $kgs^-2$ and was compressed by $\frac{7}{6}$ $7/6$ $m$ $m$ when the ball was released. How high will the ball go?