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phy131studiof16:lectures:m1results [2016/10/12 13:23] mdawber [Question 3 (Ave Score: 22/35)] |
phy131studiof16:lectures:m1results [2016/10/12 13:29] (current) mdawber [Question 3 (Ave Score: 22/35)] |
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$v_{0}=3.13\mathrm{\,m\,s^{-1}}$ | $v_{0}=3.13\mathrm{\,m\,s^{-1}}$ | ||

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+ | C. (5 points) If the block has this value of $v_{0}$ what is the maximum height $h$ reached by the block? | ||

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+ | $\frac{1}{2}mv_{0}^{2}=mgh$ | ||

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+ | $h=\frac{v_{0}^{2}}{2g}=\frac{3.13^2}{2\times9.8}=0.50\mathrm{m}$ | ||

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+ | D. (5 points) If the spring constant $k$ of the spring is 30N/m by what distance $x_{0}$ was the spring compressed initially to provide the value of $v_{0}$ you found earlier? | ||

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+ | $\frac{1}{2}mv_{0}^{2}=\frac{1}{2}kx_{0}^{2}$ | ||

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+ | $x_{0}^{2}=\frac{mv_{0}^{2}}{k}=\frac{0.1\times9.8}{30}=0.0326$ | ||

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+ | $x_{0}=0.18\mathrm{m}$ | ||

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+ | E. (5 points) How much work did gravity do on the block between the time the spring was released and the time when it reached height $h$? | ||

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+ | $-\frac{1}{2}mv_{0}^{2}=-mgh=W_{g}=-0.49\mathrm{J}$ | ||

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+ | F. (5 points) The ramp exerts a normal force on the block at all times. How much work does the normal force do on the block between the time the spring was released and the time when it reached height $h$? | ||

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+ | $W_{N}=0\mathrm{J}$ | ||

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