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Gondola Car

How to solve these problems.?

We're asked to use this formula M1V1+M2V2=M1V1'+M2V2'. I'm having trouble identifying which would be the value for V1, V2, V1' and V2' and what to solve for. You don't need to solve for the problems, you can just give (or explain) the values for these variables.

1. A 60 kg skates travelling at 4 m/s overtakes a 100 kg skates travelling at 2 m/s in the same direction and collides with him. if two skates remain in contact, compute their final velocity.

2. If the skates in problem 1 are moving in opposite direction and collide then remain contact, what is their final velocity.

3. A 5 kg rifle fires a 0.25 kg bullet at a muzzle velocity of 500 m/s. Find the recoil velocity of the rifle.

4. A stationary refrigerator car with a mass 2x10^4 kg is rammed by a gondola car with mass 3x10^4 kg. before the impact the gondola car was going 1 m/s. If they lock together, what is the new velocity.

In every one of these problems two objects are locked together either before the collision ( the gun) of after the collision ( the others)
This reduces the number of variables.
So to take the first one.
After the collision they are locked together so v1' and v2' are the same.
Hence for the right hand side m1 v1' + m2 v2'
= (m1+m2) v1'
ie 60*4 + 100 * 2 = (60+100)v1' Which is easily soluble.

and for 2 60*4 + 100 * -2 = (60+100) * v1'

for the third the initial velocity is zero for both.
so ( 5+0.25)*0 = 0.25* 500 + 5 * v1'

And so on.

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MTH 30 72149 O Gauge Gondola Car w Log Load Virginian 18015
MTH 30 72149 O Gauge Gondola Car w Log Load Virginian 18015
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Rail King Gondola Car Junk Load 30 50003 19 253
Rail King Gondola Car Junk Load 30 50003 19 253
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MTH PREMIER 20 98007 D  H GONDOLA WITH JUNK LOAD CAR NIB RATED C9 FACTORY NEW
MTH PREMIER 20 98007 D H GONDOLA WITH JUNK LOAD CAR NIB RATED C9 FACTORY NEW
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SAKAI O SCALE HUDSON  PACIFIC GONDOLA CAR
SAKAI O SCALE HUDSON PACIFIC GONDOLA CAR
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O SCALE Load for Lionel K Line gondola bulkhead and flat cars 1005
O SCALE Load for Lionel K Line gondola bulkhead and flat cars 1005
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Lionel Model Trains Railroads Freight Cars 6 17401 Conrail Gondola O Scale
Lionel Model Trains Railroads Freight Cars 6 17401 Conrail Gondola O Scale
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MTH Train O Scale Gondola Car w Cover BNSF 20 98900 NIB
MTH Train O Scale Gondola Car w Cover BNSF 20 98900 NIB
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GREAT NORTHERN 30 7286 Gondola Car with cover MTH O Scale Rail King Mint NIB
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MTH Train O Scale Gondola Car w LCL Containers CP Rail 30 72096 NIB
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MTH Train O Scale Gondola Car w Cover CSX 30 72087 NIB
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MTH Train O Scale Gondola Car w Cover Union Pacific 30 72080 NIB
MTH Train O Scale Gondola Car w Cover Union Pacific 30 72080 NIB
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MTH Train O Scale RailKing Gondola Car with Cover Norfolk Southern 30 72088 NIB
MTH Train O Scale RailKing Gondola Car with Cover Norfolk Southern 30 72088 NIB
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MTH Train O Scale Pittsburgh  Lake Erie Gondola Car w Coiled Wire Load 20 98735
MTH Train O Scale Pittsburgh Lake Erie Gondola Car w Coiled Wire Load 20 98735
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LIONEL SCALE 6 17460 NEW YORK CENTRAL PS 5 GONDOLA CAR w REMOVABLE COVERS
LIONEL SCALE 6 17460 NEW YORK CENTRAL PS 5 GONDOLA CAR w REMOVABLE COVERS
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MTH Train O Scale Gondola Car w Cover Chessie 30 72070 NIB
MTH Train O Scale Gondola Car w Cover Chessie 30 72070 NIB
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30 7296 MTH Gondola Car w LCL Containers 5 Canadian Pacific
30 7296 MTH Gondola Car w LCL Containers 5 Canadian Pacific
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30 7269 MTH Gondola Car w LCL Containers 5 BO
30 7269 MTH Gondola Car w LCL Containers 5 BO
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MARX  254000 BO GONDOLA CAR 1940s 50s VINTAGE EXC C7
MARX 254000 BO GONDOLA CAR 1940s 50s VINTAGE EXC C7
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1930s American Flyer 31400 Gondola Car
1930s American Flyer 31400 Gondola Car
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Vintage Lionel O Scale Postwar BLACK GONDOLA CAR No 6012 with Original Box
Vintage Lionel O Scale Postwar BLACK GONDOLA CAR No 6012 with Original Box
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LIONEL 6 17406 PENNSLVANIA COIL GONDOLA CAR NIB RATED C9 FACTORY NEW
LIONEL 6 17406 PENNSLVANIA COIL GONDOLA CAR NIB RATED C9 FACTORY NEW
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30 7007C MTH Railking O O27 Pennsylvania Gondola Car with Junk Load NIB
30 7007C MTH Railking O O27 Pennsylvania Gondola Car with Junk Load NIB
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MTH Railking O O27 30 7203 Santa Fe Gondola Car NIB
MTH Railking O O27 30 7203 Santa Fe Gondola Car NIB
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MTH Railking O O27 30 7205 Chicago North Western Gondola Car NIB
MTH Railking O O27 30 7205 Chicago North Western Gondola Car NIB
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MTH Railking O O27 30 72145 Delaware  Hudson Gondola Car NIB
MTH Railking O O27 30 72145 Delaware Hudson Gondola Car NIB
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MTH Railking O O27 30 7207 Conrail Gondola Car NIB
MTH Railking O O27 30 7207 Conrail Gondola Car NIB
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MTH Railking O O27 30 7206 Norfolk  Western Gondola Car NIB
MTH Railking O O27 30 7206 Norfolk Western Gondola Car NIB
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MTH Railking O O27 30 72131 Penn Central Gondola Car NIB
MTH Railking O O27 30 72131 Penn Central Gondola Car NIB
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MTH Railking O O27 30 72120 Penn Central Gondola Car NIB
MTH Railking O O27 30 72120 Penn Central Gondola Car NIB
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MTH Railking O O27 30 72121 Pittsburgh  Lake Erie Gondola Car NIB
MTH Railking O O27 30 72121 Pittsburgh Lake Erie Gondola Car NIB
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MTH Railking O O27 30 7202 Union Pacific Gondola Car NIB
MTH Railking O O27 30 7202 Union Pacific Gondola Car NIB
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Pair Lionel Train NYC 6462 Gondola Cars w 3 Original Barrels
Pair Lionel Train NYC 6462 Gondola Cars w 3 Original Barrels
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20 95227 Lake Terminal Railroad Company Gondola Car w Junk Load 2099 MTH
20 95227 Lake Terminal Railroad Company Gondola Car w Junk Load 2099 MTH
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Lionel New York Central 6462 Black Gondola Car
Lionel New York Central 6462 Black Gondola Car
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ORIGINAL CEDAR Steam Train Smoke Liquid For Tyco HO O G Gondola Car Tire Life
ORIGINAL CEDAR Steam Train Smoke Liquid For Tyco HO O G Gondola Car Tire Life
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VINTAGE AMERICAN FLYER 476 TIN PLATE GREEN GONDOLA CAR
VINTAGE AMERICAN FLYER 476 TIN PLATE GREEN GONDOLA CAR
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Lionel 6 17427 CSX Bathtub Gondola Car MIB U441
Lionel 6 17427 CSX Bathtub Gondola Car MIB U441
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Lionel AIREX Box Car 6014  NYC Gondola Car 6162 w 3canisters
Lionel AIREX Box Car 6014 NYC Gondola Car 6162 w 3canisters
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Lionel 6630 Missile car Marx 51170 ErieBlue open end gondola car
Lionel 6630 Missile car Marx 51170 ErieBlue open end gondola car
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MTH PREMIER 20 98001 PENNSYLVANIA GONDOLA TRAIN CAR NIB RATED C9 FACTORY NEW
MTH PREMIER 20 98001 PENNSYLVANIA GONDOLA TRAIN CAR NIB RATED C9 FACTORY NEW
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