Question #96660

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Question #96660

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Answer 1 · 2017-12-14T11:16:04

$F = 12, 525 N (answer C)$ $F = 12,525 N" (answer C)"$

Explanation:

$x = v_{0} t + a \frac{t^{2}}{2}$ $x = v_0 t + a t^2/2$
$v = v_{0} + a t$ $v = v_0 + a t$
$v = 0 \Rightarrow t = - \frac{v_{0}}{a} \Rightarrow x = - \frac{v_{0}^{2}}{2 a}$ $v = 0 => t = -v_0/a => x = -v_0^2 / (2a)$

$\frac{30^{2}}{2 a} = - 53.5$ $30^2 / (2a) = -53.5$
$\Rightarrow a = - 8.41 \frac{m}{s^{2}}$ $=> a = -8.41 m/s^2$
$\frac{20^{2}}{2 a} = - 23.9$ $20^2 / (2a) = -23.9$
$\Rightarrow a = - 8.37 \frac{m}{s^{2}}$ $=> a = -8.37 m/s^2$
$\frac{10^{2}}{2 a} = - 6.1$ $10^2 / (2a) = -6.1$
$\Rightarrow a = - 8.20 \frac{m}{s^{2}}$ $=> a = -8.20 m/s^2$

$\Rightarrow a = - 8.35 \frac{m}{s^{2}}$ $=> a = -8.35 m/s^2$
$\Rightarrow F = m a = 1, 500 \cdot 8.35 = 12, 525 N$ $=> F = m a = 1,500 * 8.35 = 12,525 N$

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Question #96660

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