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Could someone help me with a physics problem?

A stationary refrigerator car with a mass of 20000kg is rammed by a loaded gondola car with a mass of 30000kg. Before impact, the gondola car was going 1.0m/s. If they lock together, what is the new velocity?

Could someone explain how to do this question, I'm not really sure which formula to use on it.

It is simply a conservation of momentum problem. The two objects stick together, thus it is an inelastic collision, and we need not worry about conserving any other quantity than momentum.

Call the gondala car object 1, and call the refrigerator car object 2.

Conservation of momentum for an inelastic collision:
m1*v1i + m2*v2i = (m1 + m2)*vf

Because refrigerator is initially at rest, v2i = 0 thus:
m1*v1i = (m1 + m2)*vf

Solve for vf:
vf = m1*v1i/(m1 + m2)

Data:
m1:=30000 kg; m2:=20000 kg; v1i:=1 m/s;

Result:
vf = 0.6 meters/second

Find Refrigerator Cars On eBay Below:

WILSON CAR LINE HO SCALE REFRIGERATOR CAR
WILSON CAR LINE HO SCALE REFRIGERATOR CAR
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HO PFE 40 Mechanical Refrigerator Cars 1949 60 Decals Microscale 87 501 b
HO PFE 40 Mechanical Refrigerator Cars 1949 60 Decals Microscale 87 501 b
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CBT Shops Iced Refrigerator Car Santa Fe EL Capitan Coach Streamliner
CBT Shops Iced Refrigerator Car Santa Fe EL Capitan Coach Streamliner
$24.95
CBT Shops Iced Refrigerator Car Santa Fe
CBT Shops Iced Refrigerator Car Santa Fe
$24.95
Vintage HO Boxcar Freight Car Paper Sides St Louis Refrigerator Car Company
Vintage HO Boxcar Freight Car Paper Sides St Louis Refrigerator Car Company
$3.69
HO Lot of 2 Swift Refrigerator Line SRLX 4226 Refrigerator Train Box Car
HO Lot of 2 Swift Refrigerator Line SRLX 4226 Refrigerator Train Box Car
$3.75
Vintage HO Boxcar Freight Car Paper Sides Decker Meat Refrigerator Line
Vintage HO Boxcar Freight Car Paper Sides Decker Meat Refrigerator Line
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HO Train Swift Refrigerator Line Box Car Estate 1807
HO Train Swift Refrigerator Line Box Car Estate 1807
$5.98
Red Caboose HO Scale RTR Wisconsin Cenrtal Refrigerator Car 10000
Red Caboose HO Scale RTR Wisconsin Cenrtal Refrigerator Car 10000
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Accurail 94817 Santa Fe ElCapitan Wood 40 Refrigerator Car Rd 35349 HO Scale
Accurail 94817 Santa Fe ElCapitan Wood 40 Refrigerator Car Rd 35349 HO Scale
$22.00
Vintage HO Boxcar Freight Car Paper Sides Wilsons Milk Union Refrigerator
Vintage HO Boxcar Freight Car Paper Sides Wilsons Milk Union Refrigerator
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HO Walthers 910 3774 50 AAR Mech Refrigerator Car Pacific Fruit Express 301290
HO Walthers 910 3774 50 AAR Mech Refrigerator Car Pacific Fruit Express 301290
$25.49
Vintage HO Boxcar Freight Car Paper Sides Northern Refrigerator Car Co
Vintage HO Boxcar Freight Car Paper Sides Northern Refrigerator Car Co
$3.69
HO Scale Red Ball Model Train Kit Old Dutch Refrigerator Car Wood
HO Scale Red Ball Model Train Kit Old Dutch Refrigerator Car Wood
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Marklin HO Teinacher Mineral Water Refrigerator Car 4420
Marklin HO Teinacher Mineral Water Refrigerator Car 4420
$14.95
Vintage HO Boxcar Freight Car Paper Sides Merchants Despatch Refrigerator MDT
Vintage HO Boxcar Freight Car Paper Sides Merchants Despatch Refrigerator MDT
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3 Walthers HO 40 Van Camp Milk Refrigerator cars
3 Walthers HO 40 Van Camp Milk Refrigerator cars
$33.00
HO MANTUA 41 STEEL REFRIGERATOR CAR SANTA FE 733001 SFRD SANTA FE
HO MANTUA 41 STEEL REFRIGERATOR CAR SANTA FE 733001 SFRD SANTA FE
$16.95
HO Walthers 910 3773 50 AAR Mech Refrigerator Car Pacific Fruit Express 301213
HO Walthers 910 3773 50 AAR Mech Refrigerator Car Pacific Fruit Express 301213
$25.49
HO Walthers 910 3771 50 AAR Mech Refrigerator Car Northern Pacific 551
HO Walthers 910 3771 50 AAR Mech Refrigerator Car Northern Pacific 551
$25.49
HO Walthers 910 3772 50 AAR Mech Refrigerator Car Northern Pacific 619
HO Walthers 910 3772 50 AAR Mech Refrigerator Car Northern Pacific 619
$25.49
HO Walthers 910 3770 50 AAR Mech Refrigerator Car Conrail 359033
HO Walthers 910 3770 50 AAR Mech Refrigerator Car Conrail 359033
$25.49
HO Walthers 910 3769 50 AAR Mech Refrigerator Car Conrail 359010
HO Walthers 910 3769 50 AAR Mech Refrigerator Car Conrail 359010
$25.49
Vintage Life Like Swift 1020 refrigerator car HO scale
Vintage Life Like Swift 1020 refrigerator car HO scale
$10.00
HO Walthers 910 3768 50 AAR Mech Refrigerator Car Chicago  NW 61095
HO Walthers 910 3768 50 AAR Mech Refrigerator Car Chicago NW 61095
$25.49
HO Walthers 910 3767 50 AAR Mech Refrigerator Car Chicago  NW 61016
HO Walthers 910 3767 50 AAR Mech Refrigerator Car Chicago NW 61016
$25.49
HO HOn3 BRASS WISEMAN BACK SHOP PARTS HBS348 REFRIGERATOR CAR DOORS
HO HOn3 BRASS WISEMAN BACK SHOP PARTS HBS348 REFRIGERATOR CAR DOORS
$4.00
HO Scale Reefer Car Burlington Refrigerator Express BRMX 5298 R
HO Scale Reefer Car Burlington Refrigerator Express BRMX 5298 R
$1.99
HO Walthers 910 3765 50 AAR Mech Refrigerator Car Burlington Northern 5115
HO Walthers 910 3765 50 AAR Mech Refrigerator Car Burlington Northern 5115
$25.49
HO Walthers 910 3766 50 AAR Mech Refrigerator Car Burlington Northern 5132
HO Walthers 910 3766 50 AAR Mech Refrigerator Car Burlington Northern 5132
$25.49
HO Walthers 910 3764 50 AAR Mech Refrigerator Car Santa FE
HO Walthers 910 3764 50 AAR Mech Refrigerator Car Santa FE
$25.49
HO Walthers 910 3763 50 AAR Mech Refrigerator Car Santa FE 50315
HO Walthers 910 3763 50 AAR Mech Refrigerator Car Santa FE 50315
$25.49
H0 Accurail 8323 Wilson Car Lines 40 Steel Refrigerator Cars with Hinged Doors
H0 Accurail 8323 Wilson Car Lines 40 Steel Refrigerator Cars with Hinged Doors
$19.99
Walthers  3753 50 AAR Mechanical Refrigerator Car CP  286135 HO MIB
Walthers 3753 50 AAR Mechanical Refrigerator Car CP 286135 HO MIB
$25.74
Walthers  3754 50 AAR Mechanical Refrigerator Car CP  286278 HO MIB
Walthers 3754 50 AAR Mechanical Refrigerator Car CP 286278 HO MIB
$25.74
Walthers  3755 50 AAR Mechanical Refrigerator Car CBQ  5151 HO MIB
Walthers 3755 50 AAR Mechanical Refrigerator Car CBQ 5151 HO MIB
$25.74
Walthers  3756 50 AAR Mechanical Refrigerator Car CBQ  5198 HO MIB
Walthers 3756 50 AAR Mechanical Refrigerator Car CBQ 5198 HO MIB
$25.74
Walthers  3758 50 AAR Mechanical Refrigerator Car EL  5018 HO MIB
Walthers 3758 50 AAR Mechanical Refrigerator Car EL 5018 HO MIB
$25.74
AHM HO Scale Morrell Refrigerator Line 78 36 Freight Train Car
AHM HO Scale Morrell Refrigerator Line 78 36 Freight Train Car
$13.99
Walthers  3760 50 AAR Mechanical Refrigerator Car Milwaukee Road  9792 HO MIB
Walthers 3760 50 AAR Mechanical Refrigerator Car Milwaukee Road 9792 HO MIB
$25.74


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