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How do i do this physics question?

An ore car of mass 35000 kg starts from rest
and rolls downhill on tracks from a mine. At
the end of the tracks, 17 m lower vertically, is
a horizontally situated spring with constant
4.6 × 105 N/m.
The acceleration of gravity is 9.8 m/s2 .
Ignore friction.
How much is the spring compressed in stop-
ping the ore car?
Answer in units of m.

Anyone who can help me i would greatly appreciate it and i will give as many points as i can to those who do help me promise.

Let:
m be the mass of the truck,
h be the vertical descent,
k be the spring constant,
x be the spring compression,
g be the acceleration due to gravity.

Equating the final energy stored in the spring to the truck's initial potential energy:
kx^2 / 2 = mgh
x^2 = 2mgh / k.

x = sqrt[ 2 * 35000 * 9.81 * 17 / (4.6 * 10^5) ]
= 5.04m to 3 sig. fig.

Find Ore Cars On eBay Below:

Lionel 6 84776 O Chicago North Western Ore Car Pack 6
Lionel 6 84776 O Chicago North Western Ore Car Pack 6
$149.99
MARX TIN RED COAL ORE CAR NORTHERN PACIFIC RR MARLINES LOAD O SCALE TINPLATE
MARX TIN RED COAL ORE CAR NORTHERN PACIFIC RR MARLINES LOAD O SCALE TINPLATE
$7.00
Lionel 6 19308 Great Northern Ore Car With Ore Load 0 027 Guage 1987 Usa Made
Lionel 6 19308 Great Northern Ore Car With Ore Load 0 027 Guage 1987 Usa Made
$19.95
LIONEL 6 19307 BESSIEMER BLE ORE CAR WITH LOAD BUILT 1 89
LIONEL 6 19307 BESSIEMER BLE ORE CAR WITH LOAD BUILT 1 89
$16.95
LIONEL 51502 LIONEL 6486 3 STEEL DIECAST ORE CAR SEALED NEW B1
LIONEL 51502 LIONEL 6486 3 STEEL DIECAST ORE CAR SEALED NEW B1
$79.20
LIONEL CHICAGO  NORTHWESTERN ORE CAR WITH LOAD 6 19322
LIONEL CHICAGO NORTHWESTERN ORE CAR WITH LOAD 6 19322
$32.00
RMT READY MADE TRAINS 70 TON ORE CAR w LOAD NEW YORK CENTRAL 2 PK O GAUGE NIB
RMT READY MADE TRAINS 70 TON ORE CAR w LOAD NEW YORK CENTRAL 2 PK O GAUGE NIB
$45.99
K Line 90006 Big Red One Ore Car O C 7 1994 in Box
K Line 90006 Big Red One Ore Car O C 7 1994 in Box
$19.95
K LINE O Scale UNION PACIFIC CLASSIC ORE CAR W LOAD 27250 K671 2111 Nice
K LINE O Scale UNION PACIFIC CLASSIC ORE CAR W LOAD 27250 K671 2111 Nice
$27.99
ATLAS O GAUGE 70 TON ORE CAR NO 6263 BESSEMER+LAKE ERIE
ATLAS O GAUGE 70 TON ORE CAR NO 6263 BESSEMER+LAKE ERIE
$44.99
Lionel 19307 BLE Ore Car w Load Model Railroad Train 1989 NR
Lionel 19307 BLE Ore Car w Load Model Railroad Train 1989 NR
$16.00
Lionel Gasden Pacific UP Ore Car 58262
Lionel Gasden Pacific UP Ore Car 58262
$45.00
K LINE REESES PIECES ORE CAR 4 PACK K6735A MINT SEALED
K LINE REESES PIECES ORE CAR 4 PACK K6735A MINT SEALED
$90.00
K Line K 90006 O27 O Scale CLASSIC Ore Car OLB BIG RED LINE
K Line K 90006 O27 O Scale CLASSIC Ore Car OLB BIG RED LINE
$35.00
NICE VINTAGE O GAUGE LIONEL LINES 3469 AUTOMATIC ORE DUMP CAR
NICE VINTAGE O GAUGE LIONEL LINES 3469 AUTOMATIC ORE DUMP CAR
$15.50
Lionel Great Northern Ore Car w Ore load 6 19308
Lionel Great Northern Ore Car w Ore load 6 19308
$20.00
LIONEL TRAIN DIE CAST UP UNION PACIFIC 1 RAILROAD ORE HOPPER CAR W BOX 6 26926
LIONEL TRAIN DIE CAST UP UNION PACIFIC 1 RAILROAD ORE HOPPER CAR W BOX 6 26926
$15.50
Lionel 6 6122 Penn Central Ore Car LN Box
Lionel 6 6122 Penn Central Ore Car LN Box
$5.50
Lionel 6 19323 Detroit  Mackinac Ore Car w Load O Gauge NIB
Lionel 6 19323 Detroit Mackinac Ore Car w Load O Gauge NIB
$22.90
MTH Rail King 30 7522 Pennsylvania Hopper Car with Ore load O gauge New
MTH Rail King 30 7522 Pennsylvania Hopper Car with Ore load O gauge New
$22.50
Jersey Central Ore Car W Ore Load Rail King By MTH 30 7528
Jersey Central Ore Car W Ore Load Rail King By MTH 30 7528
$14.99
NIB Lionel 6 19308 0 and 027 GREAT NORTHERN Ore Car with Ore Load MINT
NIB Lionel 6 19308 0 and 027 GREAT NORTHERN Ore Car with Ore Load MINT
$18.00
Faller Play Train 3633 Tipper Wagon OHU Ore Car in Box
Faller Play Train 3633 Tipper Wagon OHU Ore Car in Box
$29.99
LIONEL 3459 POSTWAR GREEN AUTOMATIC ORE DUMP CAR OB BAG OF COAL
LIONEL 3459 POSTWAR GREEN AUTOMATIC ORE DUMP CAR OB BAG OF COAL
$49.95
MTH RailKing O Scale Southern Railway Ore Car with Ore Load Item No 30 75433
MTH RailKing O Scale Southern Railway Ore Car with Ore Load Item No 30 75433
$49.00
MTH RailKing 30 75324 Chicago North Western Ore Car 122527 MIB
MTH RailKing 30 75324 Chicago North Western Ore Car 122527 MIB
$35.00
LIONEL  81014  DRGW ORE CAR
LIONEL 81014 DRGW ORE CAR
$45.99
MTH Burlington Northern ore car  CCA Box car with original boxes Free Shipp
MTH Burlington Northern ore car CCA Box car with original boxes Free Shipp
$64.99
O Gauge Lionel Naughty or Nice Ore Car 2 Pack
O Gauge Lionel Naughty or Nice Ore Car 2 Pack
$69.99
LIONEL  82709 PRR SILVER  GOLD ORE CAR 2 PAK CHRISTMAS
LIONEL 82709 PRR SILVER GOLD ORE CAR 2 PAK CHRISTMAS
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Lionel Canadian National Ore Car 6 6126 O Scale Model Train
Lionel Canadian National Ore Car 6 6126 O Scale Model Train
$23.95
Lionel Penn Central Iron Ore cars 6 6122
Lionel Penn Central Iron Ore cars 6 6122
$40.00
30 75474 Burlington Ore Car w Ore Load MTH
30 75474 Burlington Ore Car w Ore Load MTH
$44.95
K Line new 6712 B  O Chessie System ore car
K Line new 6712 B O Chessie System ore car
$30.00
RMT AristO Boxcar Coal Stock or 70 Ton Ore Car Choice of Road Name Number
RMT AristO Boxcar Coal Stock or 70 Ton Ore Car Choice of Road Name Number
$24.99
Williams by Bachmann 48504 Milwaukee Road 70 Ton Ore Train Car O 027 MIB New
Williams by Bachmann 48504 Milwaukee Road 70 Ton Ore Train Car O 027 MIB New
$54.99
VINTAGE LIONEL 3469 BLACK ORE DUMP CAR
VINTAGE LIONEL 3469 BLACK ORE DUMP CAR
$30.00
O O27 K Line K 90006 Ore Car 1994 KCC OLB Classic FR
O O27 K Line K 90006 Ore Car 1994 KCC OLB Classic FR
$10.99
K LINE TRAIN IC ILLINOIS CENTRAL RAILROAD ORE HOPPER CAR W LOAD 672102
K LINE TRAIN IC ILLINOIS CENTRAL RAILROAD ORE HOPPER CAR W LOAD 672102
$3.25
K LINE TRAIN CSX RAILROAD ORE HOPPER CAR W LOAD 671701
K LINE TRAIN CSX RAILROAD ORE HOPPER CAR W LOAD 671701
$7.50


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