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Ore Cars

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.

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Lionel 52089 1996 SMARRCO TTOM ORE CAR
Lionel 52089 1996 SMARRCO TTOM ORE CAR
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Lionel 5459 Electronic Ore Dump Car Empty Box Only Postwar NO RESERVE
Lionel 5459 Electronic Ore Dump Car Empty Box Only Postwar NO RESERVE
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MTH Railking O Trains 8014 UP Union Pacific Ore Car 30 75477
MTH Railking O Trains 8014 UP Union Pacific Ore Car 30 75477
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MTH Railking O Trains 501814 Conrail Ore Car 30 75478
MTH Railking O Trains 501814 Conrail Ore Car 30 75478
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MTH Railking O Trains 2570 NS Norfolk Southern Ore Car 30 75479
MTH Railking O Trains 2570 NS Norfolk Southern Ore Car 30 75479
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READY MADE TRAINS 96715 PENNSYLVANIA RR ORE CARS WITH LOAD 2 CAR SET NIB
READY MADE TRAINS 96715 PENNSYLVANIA RR ORE CARS WITH LOAD 2 CAR SET NIB
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LIONEL 6 19308 GREAT NORTHERN ORE CAR WITH ORE LOAD BUILT 1 89
LIONEL 6 19308 GREAT NORTHERN ORE CAR WITH ORE LOAD BUILT 1 89
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MTH Rail King O 30 75476 Ore Car with Load Pennsylvania Railroad 15014
MTH Rail King O 30 75476 Ore Car with Load Pennsylvania Railroad 15014
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MTH Rail King O 30 75478 Ore Car with Load Conrail 501814
MTH Rail King O 30 75478 Ore Car with Load Conrail 501814
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MTH Rail King O 30 75479 Ore Car with Load Norfolk Southern 2570
MTH Rail King O 30 75479 Ore Car with Load Norfolk Southern 2570
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Lionel 16800 3 Piece Set Of Railroader Club Ore Cars 1986 LRRC
Lionel 16800 3 Piece Set Of Railroader Club Ore Cars 1986 LRRC
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Lionel 3459 16 Automatic Ore Dump Car Pivot Arm
Lionel 3459 16 Automatic Ore Dump Car Pivot Arm
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Lionel Canadian National Ore Car  6126
Lionel Canadian National Ore Car 6126
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K line 90006 KCC 1994 Big Red Line ore car with load
K line 90006 KCC 1994 Big Red Line ore car with load
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K line K 6730 TCA 1992 York special events ore car
K line K 6730 TCA 1992 York special events ore car
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Lionel 1996 TTOM ORE CAR 6 52089 SMARRCO 4
Lionel 1996 TTOM ORE CAR 6 52089 SMARRCO 4
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MTH 30 75479 Norfolk Southern Ore Car
MTH 30 75479 Norfolk Southern Ore Car
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30 75263 MTH O Scale Ore Car With Ore Load Big Red Line
30 75263 MTH O Scale Ore Car With Ore Load Big Red Line
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Lionel Box for Automatic Dumping Ore Car  3469 witn Insert
Lionel Box for Automatic Dumping Ore Car 3469 witn Insert
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Lionel  6 16474 Alaska Ore Car
Lionel 6 16474 Alaska Ore Car
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1984 Lionel 6 6122 Penn Central Ore Car New L2357
1984 Lionel 6 6122 Penn Central Ore Car New L2357
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1985 Lionel 6 6126 Canadian National Ore Car NIB L2351
1985 Lionel 6 6126 Canadian National Ore Car NIB L2351
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Lionel  16766 Bureau of Land Management Ore Car
Lionel 16766 Bureau of Land Management Ore Car
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K Line K 6722 B  O ore car
K Line K 6722 B O ore car
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6 26443 MINNEAPOLIS  ST LOUIS ORE CAR LIONEL Display
6 26443 MINNEAPOLIS ST LOUIS ORE CAR LIONEL Display
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K Line K 6723 New York Central ore car
K Line K 6723 New York Central ore car
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SET OF FOUR RAIL KING 0 SCALE NEW HAVEN ORE CARS IN ORIGINAL RAIL KING BOXES
SET OF FOUR RAIL KING 0 SCALE NEW HAVEN ORE CARS IN ORIGINAL RAIL KING BOXES
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Lionel 17872 Convention TTOS Anaconda Ore Car
Lionel 17872 Convention TTOS Anaconda Ore Car
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6 26457 PENNSYLVANIA ORE CAR w LOAD Lionel
6 26457 PENNSYLVANIA ORE CAR w LOAD Lionel
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LIONEL 51502 LIONEL 6486 3 STEEL DIECAST ORE CAR SEALED NEW B1
LIONEL 51502 LIONEL 6486 3 STEEL DIECAST ORE CAR SEALED NEW B1
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LIONEL POSTWAR 3469 BLACK AUTOMATIC DUMPING ORE CAR C 6+ load bin
LIONEL POSTWAR 3469 BLACK AUTOMATIC DUMPING ORE CAR C 6+ load bin
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MTH 30 75477 Union pacific Ore Car
MTH 30 75477 Union pacific Ore Car
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LIONEL MODERN O 6 51502 LIONEL STEEL ORE CAR 561523
LIONEL MODERN O 6 51502 LIONEL STEEL ORE CAR 561523
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LIONEL 6 26421 PRR ORE CAR Pennsylvania train rolling stock coal hopper SALE
LIONEL 6 26421 PRR ORE CAR Pennsylvania train rolling stock coal hopper SALE
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LIONEL 6 6122 PENN CENTRAL BLACK ORE CAR MAKE OFFERS
LIONEL 6 6122 PENN CENTRAL BLACK ORE CAR MAKE OFFERS
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NOS Vintage Lionel O O27 Northern Pacific Ore Car 6 6127
NOS Vintage Lionel O O27 Northern Pacific Ore Car 6 6127
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Lionel Great Northern Ore Car w Ore load 6 19308
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Lionel O scale Canadian National brown Ore car
Lionel O scale Canadian National brown Ore car
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RMT AristO Boxcar Stock Car or 70 Ton Ore Car Choice of Road Name Number
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LIONEL 6 19307 BESSIEMER BLE ORE CAR WITH LOAD BUILT 1 89
LIONEL 6 19307 BESSIEMER BLE ORE CAR WITH LOAD BUILT 1 89
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