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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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Lionel Postwar 6462 NYC Red Gondola car
Lionel Postwar 6462 NYC Red Gondola car
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LIONEL CONSTRUCTION GONDOLA RR SIGNS O GAUGE train freight car rail 6 84766 NEW
LIONEL CONSTRUCTION GONDOLA RR SIGNS O GAUGE train freight car rail 6 84766 NEW
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Lionel Trains Gondola Car 6462 Variation E With box
Lionel Trains Gondola Car 6462 Variation E With box
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Vintage Lionel O Gauge post war NYC 6562 Red gondola TRAIN CAR used
Vintage Lionel O Gauge post war NYC 6562 Red gondola TRAIN CAR used
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EXC+ LIONEL ORIGINAL POSTWAR 3444 ANIMATED ERIE COP  HOBO GONDOLA CAR w OB
EXC+ LIONEL ORIGINAL POSTWAR 3444 ANIMATED ERIE COP HOBO GONDOLA CAR w OB
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MTH 30 8207 Southern Pacific Die Cast Gondola Car W Junk Load NIB
MTH 30 8207 Southern Pacific Die Cast Gondola Car W Junk Load NIB
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MTH 20 98094 55 Ton All Steel Drop Bottom Gondola Car Union Pacific MTHRRC
MTH 20 98094 55 Ton All Steel Drop Bottom Gondola Car Union Pacific MTHRRC
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Lionel  2452 Pennsylvania gondola Car W Box  Insert
Lionel 2452 Pennsylvania gondola Car W Box Insert
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Lionel Train Republic Steel Yellow Railroad Gondola Car W 3 Canisters 6 9055
Lionel Train Republic Steel Yellow Railroad Gondola Car W 3 Canisters 6 9055
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Postwar Lionel 6462 Black NYC Gondola Car with Original Box Logs
Postwar Lionel 6462 Black NYC Gondola Car with Original Box Logs
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Vintage Lionel O Gauge Lot of 5 Gondolas Caboose Dump Car Lehigh Valley PRR
Vintage Lionel O Gauge Lot of 5 Gondolas Caboose Dump Car Lehigh Valley PRR
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LIONEL LOT of 2 POST WAR 1002 FISHBELLY GONDOLA Cars WITH SCOUT TRUCKS COUPLERS
LIONEL LOT of 2 POST WAR 1002 FISHBELLY GONDOLA Cars WITH SCOUT TRUCKS COUPLERS
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30 72002 Caterpillar Gondola Car w Crates Display MTH Rail King
30 72002 Caterpillar Gondola Car w Crates Display MTH Rail King
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Lionel Nos 6656 Stock Car 6465 Tank Car 6462 NYC Gondola 6017 Caboose
Lionel Nos 6656 Stock Car 6465 Tank Car 6462 NYC Gondola 6017 Caboose
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Lionel Nos 3464 Oper Box Car 6465 Tank Car 6462 NYC Gondola 6017 Caboose
Lionel Nos 3464 Oper Box Car 6465 Tank Car 6462 NYC Gondola 6017 Caboose
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Vintage LIONEL 6462 Gondola  3461 Lumber Car Lot w Boxes J0391
Vintage LIONEL 6462 Gondola 3461 Lumber Car Lot w Boxes J0391
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LIONEL SOO LINE GONDOLA O GAUGE CAR train uncatalogued From 6 84459 68099 NEW
LIONEL SOO LINE GONDOLA O GAUGE CAR train uncatalogued From 6 84459 68099 NEW
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LIONEL NORTH POLE CENTRAL SANTAS HELPER GONDOLA PRESENTS train 6 82545 G NEW
LIONEL NORTH POLE CENTRAL SANTAS HELPER GONDOLA PRESENTS train 6 82545 G NEW
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LIONEL B  O GONDOLA o gauge train uncatalogued From 6 84456 557037
LIONEL B O GONDOLA o gauge train uncatalogued From 6 84456 557037
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Lot of 4 Lionel 1970s Plastic Train Cars Caboose Hopper Gondola Flat Car
Lot of 4 Lionel 1970s Plastic Train Cars Caboose Hopper Gondola Flat Car
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LIONEL B  O GONDOLA o gauge train uncatalogued From 6 84456 557026 NEW
LIONEL B O GONDOLA o gauge train uncatalogued From 6 84456 557026 NEW
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LIONEL PREWAR 2812 BURNT ORANGE GONDOLA CAR NICE ORIGINAL RUBBER STAMPED
LIONEL PREWAR 2812 BURNT ORANGE GONDOLA CAR NICE ORIGINAL RUBBER STAMPED
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LIONEL PREWAR 2812 GREEN GONDOLA CAR NICE ORIGINAL
LIONEL PREWAR 2812 GREEN GONDOLA CAR NICE ORIGINAL
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Lionel PreWar Lot of 8 FREIGHT CARS Cabooses Box Cars Gondola  Flat Cars
Lionel PreWar Lot of 8 FREIGHT CARS Cabooses Box Cars Gondola Flat Cars
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LIONEL RARE 1717 GONDOLA CAR IN GOOD CONDITION IN ORIGINAL BOX
LIONEL RARE 1717 GONDOLA CAR IN GOOD CONDITION IN ORIGINAL BOX
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Lionel O Scale National Toy Train Museum Gondola Car w Pipes Load 6 52295
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K Line O Scale Nabisco Operating Barrel Loading Dock  Billboard Gondola Car
K Line O Scale Nabisco Operating Barrel Loading Dock Billboard Gondola Car
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MARX LOT OF ROLLING STOCK PLASTIC BODIES FLAT BOX STOCK CARS GONDOLA
MARX LOT OF ROLLING STOCK PLASTIC BODIES FLAT BOX STOCK CARS GONDOLA
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Lionel PreWar Operating GONDOLA CAR 3652 39 42
Lionel PreWar Operating GONDOLA CAR 3652 39 42
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Lot of 2 Prewar American Flyer O Gauge 3219 Gondola Dump Car Restore
Lot of 2 Prewar American Flyer O Gauge 3219 Gondola Dump Car Restore
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LIONEL ERIE GONDOLA CAR 3444 POLICEMAN AND ROBBER W BOX VERY CLEAN
LIONEL ERIE GONDOLA CAR 3444 POLICEMAN AND ROBBER W BOX VERY CLEAN
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Lionel Railblazer O Scale Lot Tested Engine Boxcar Caboose Gondola
Lionel Railblazer O Scale Lot Tested Engine Boxcar Caboose Gondola
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American Flyer 3207 Sand Car Gondola Green Prewar Lot of 2 parts or restore
American Flyer 3207 Sand Car Gondola Green Prewar Lot of 2 parts or restore
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Lionel O O27 Gauge Republic Steel Gondola Car with Canisters 6 9136
Lionel O O27 Gauge Republic Steel Gondola Car with Canisters 6 9136
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30 72175 MTH Railking O O27 Western Maryland Gondola Car with Crates NIB
30 72175 MTH Railking O O27 Western Maryland Gondola Car with Crates NIB
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30 72181 MTH Railking O O27 Illinois Central Gondola Car with Crates NIB
30 72181 MTH Railking O O27 Illinois Central Gondola Car with Crates NIB
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30 72182 MTH Railking O O27 Reading Gondola Car with Crates NIB
30 72182 MTH Railking O O27 Reading Gondola Car with Crates NIB
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30 72180 MTH Railking O O27 Pittsburgh  Lake Erie Gondola Car with Crates NIB
30 72180 MTH Railking O O27 Pittsburgh Lake Erie Gondola Car with Crates NIB
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30 72128 Railking MTH O O27 Florida East Coast Gondola Car w LCL Containers NIB
30 72128 Railking MTH O O27 Florida East Coast Gondola Car w LCL Containers NIB
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30 72045 MTH O Scale Gondola Car With Junk Load Wabash
30 72045 MTH O Scale Gondola Car With Junk Load Wabash
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