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# Car on a Bridge

APPH12-LQWS0F

A very small car that that weighs $9{,}000 \text{ Newtons}$ is parked on a $20 \text{-meter}​$ long bridge. The bridge weighs $15{,}000 \text{ N}$. The car is located $8.0\text{ meters}$ from the left side of the bridge. The bridge supports are located $0.5\text{ meters}$ from each edge of the bridge.

Based on an analysis of this data, what is the upward force exerted by each bridge support?

A

${ F }_{ A }=5{,}400\text{ N}$
${ F }_{ B }=3{,}600\text{ N}$

B

${ F }_{ A }=13{,}000\text{ N}$
${ F }_{ B }=11{,}000\text{ N}$

C

${ F }_{ A }=15{,}600\text{ N}$
${ F }_{ B }=8{,}400\text{ N}$

D

${ F }_{ A }=11{,}100\text{ N}$
${ F }_{ B }=12{,}900\text{ N}$