madiliann12120

madiliann12120

07.12.2019 •

Physics

The prototype model of forming concepts is creating a mental image of the average features.

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Ответ:

baileysosmart

04.10.2021

$\Delta x=245\ mm$

Explanation:

Given:

mass of skier, $m=70\ kg$ initial velocity of skier, $u=4\ m.s^{-1}$ height of the hill, $h=2\ m$ spring constant, $k=2800\ N.m^{-1}$

final velocity of skier before coming in contact of spring:

Using eq. of motion:

v^2=u^2+gh

$v^2=4^2+9.8\times 2$

$v=5.9666\ m.s^{-1}$

Now the time taken by the skier to reach down:

v=u+gt

$5.9666=4+9.8\ t$

$t=0.2007\ s$

Now we calculate force using Newton's second law:

$F=\frac{dp}{dt}$

$F=\frac{m(v-u)}{t}$

$F=\frac{70\times(5.9666-4)}{0.2007}$

$F\approx686\ N$

∴Compression in spring before the skier momentarily comes to rest:

$\Delta x=\frac{F}{k}$

$\Delta x=\frac{686}{2800}$

$\Delta x=0.245\ m$

$\Delta x=245\ mm$

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