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Gondola Car

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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.

Find Gondola Car On eBay Below:

O SCALE Load for Lionel K Line Rail King Williams 6462 gondola  flat cars
O SCALE Load for Lionel K Line Rail King Williams 6462 gondola flat cars
$39.95
Vintage O Scale Lionel 1002 Black Gondola Car
Vintage O Scale Lionel 1002 Black Gondola Car
$15.00
Lionel ASRX 9116 Covered Gondola Car Domino Sugar Products
Lionel ASRX 9116 Covered Gondola Car Domino Sugar Products
$24.95
O 027 Vintage Built Wood M K T 42140 Gondola Car
O 027 Vintage Built Wood M K T 42140 Gondola Car
$15.00
O SCALE Load for Lionel K Line Rail King Menards gondola bulkhead and flat car
O SCALE Load for Lionel K Line Rail King Menards gondola bulkhead and flat car
$39.95
MTH Premier O Scale Trains Great Northern 73800 Gondola Car w Cover 20 98898
MTH Premier O Scale Trains Great Northern 73800 Gondola Car w Cover 20 98898
$55.00
Lionel O Scale Train Tinplate Litho 3652 Operating Side Dump Gondola Car Lot D
Lionel O Scale Train Tinplate Litho 3652 Operating Side Dump Gondola Car Lot D
$18.95
Lionel Lines O Prewar Tinplate Lime Green 812 Gondola  653 Ore Dump Car Lot B
Lionel Lines O Prewar Tinplate Lime Green 812 Gondola 653 Ore Dump Car Lot B
$34.95
Vintage Tin Litho Marx B  O Baltimore  Ohio Gondola Train Car
Vintage Tin Litho Marx B O Baltimore Ohio Gondola Train Car
$14.99
Lionel 6 6260 NYC New York Central Long Gondola Car w Containers Original Box
Lionel 6 6260 NYC New York Central Long Gondola Car w Containers Original Box
$29.95
Marx O Scale BO Baltimore  Ohio Metal Gondola Car 254000
Marx O Scale BO Baltimore Ohio Metal Gondola Car 254000
$7.91
Lionel Corp Blue Gondola Train Car 6042 Toy Plastic O Gauge Toy
Lionel Corp Blue Gondola Train Car 6042 Toy Plastic O Gauge Toy
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Lionel Vintage DRGW Gondola Car 9131
Lionel Vintage DRGW Gondola Car 9131
$12.00
Post War Lionel Trains O O 27 Scale New York Central Gondola Cars X2 6462 VG
Post War Lionel Trains O O 27 Scale New York Central Gondola Cars X2 6462 VG
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KMT kusan K Series Electric TrainsGondola Nickel Plate RoadCoal Car in box
KMT kusan K Series Electric TrainsGondola Nickel Plate RoadCoal Car in box
$14.25
Lionel Train 9 1 2 Red New York Central Gondola Car With 5 Barrels
Lionel Train 9 1 2 Red New York Central Gondola Car With 5 Barrels
$9.00
Lionel Lines Train Cars PRR NOckle Plate Sunco Caboose Flat Car Gondola Lot
Lionel Lines Train Cars PRR NOckle Plate Sunco Caboose Flat Car Gondola Lot
$50.00
Lionel Trains 6112 1 Conventional Classics Gondola Canister Car NEW
Lionel Trains 6112 1 Conventional Classics Gondola Canister Car NEW
$35.00
ANIMATED Lionel 6 16674 Pinkerton Cop  Thief Gondola Car NOS O O 27 SCALE
ANIMATED Lionel 6 16674 Pinkerton Cop Thief Gondola Car NOS O O 27 SCALE
$15.00
LIONEL OPEN GONDOLA CAR 6112
LIONEL OPEN GONDOLA CAR 6112
$17.99
MTH 20 98012 Burlington Gondola Car w Cover Car 83107 LN
MTH 20 98012 Burlington Gondola Car w Cover Car 83107 LN
$44.99
O Scale Trains Lionel Wabash Gondola 16309 with Tank Car Hulk
O Scale Trains Lionel Wabash Gondola 16309 with Tank Car Hulk
$8.99
MTH Norfolk  Western Gondola Car with Wire Load 98869 SEALED
MTH Norfolk Western Gondola Car with Wire Load 98869 SEALED
$38.00
LIONEL B  O GONDOLA O GAUGE TRAIN CAR uncatalogued From 6 84456 557096 NEW
LIONEL B O GONDOLA O GAUGE TRAIN CAR uncatalogued From 6 84456 557096 NEW
$19.66
LIONEL ROCK ISLAND GONDOLA O GAUGE train car uncatalogued From 6 84459 3091 NEW
LIONEL ROCK ISLAND GONDOLA O GAUGE train car uncatalogued From 6 84459 3091 NEW
$19.66
Lionel SantaFe Engine Freight Car And 2 Culvert Gondolas
Lionel SantaFe Engine Freight Car And 2 Culvert Gondolas
$25.00
LIONEL B  O GONDOLA O GAUGE TRAIN CAR uncatalogued From 6 84456 557068 NEW
LIONEL B O GONDOLA O GAUGE TRAIN CAR uncatalogued From 6 84456 557068 NEW
$19.66
K line Pennsylvania RR Classic Die Cast Gondola Car with Junk load O gauge Mint
K line Pennsylvania RR Classic Die Cast Gondola Car with Junk load O gauge Mint
$39.99
RARE LIONEL TRAIN O GAUGE MAROON RED GONDOLA CAR
RARE LIONEL TRAIN O GAUGE MAROON RED GONDOLA CAR
$19.00
MTH Railking RRC Gondola Car w 5 LCL Containers 30 7267
MTH Railking RRC Gondola Car w 5 LCL Containers 30 7267
$9.99
Lionel Visitor Center Gondola w Coil Covers Car 6 19955 2
Lionel Visitor Center Gondola w Coil Covers Car 6 19955 2
$39.99
3 Vintage Lionel Freight Box Cars Gondola 6254 Hopper 6137 Heinz Refrig 317 O SC
3 Vintage Lionel Freight Box Cars Gondola 6254 Hopper 6137 Heinz Refrig 317 O SC
$21.99
Lionel Visitor Center Gondola w Coil Covers Car 6 19955
Lionel Visitor Center Gondola w Coil Covers Car 6 19955
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Lionel 6 19448 Easter Egg 10 Gondola Car O C 8 1999 Original Box Boys
Lionel 6 19448 Easter Egg 10 Gondola Car O C 8 1999 Original Box Boys
$34.95
AMERICAN FLYER 3207 TIN PLATE GONDOLA CAR 1 ALL ORIGINAL GOOD PLUS CONDITION
AMERICAN FLYER 3207 TIN PLATE GONDOLA CAR 1 ALL ORIGINAL GOOD PLUS CONDITION
$22.95
Vintage Lionel PW No 6452 Bottom 6462 On Side PRR Gondola Car O Gauge 1948
Vintage Lionel PW No 6452 Bottom 6462 On Side PRR Gondola Car O Gauge 1948
$35.00
Lionel NYC 6462 Gondola Car For Parts Or Restoration  TS
Lionel NYC 6462 Gondola Car For Parts Or Restoration TS
$14.99
1 O ATLAS 6211 GREAT NORTHERN 50 FT FISHBELLY GONDOLA CAR 72879 ORIG BOX
1 O ATLAS 6211 GREAT NORTHERN 50 FT FISHBELLY GONDOLA CAR 72879 ORIG BOX
$24.95
O SCALE MARX PENNSYLVANIA 347100 GRAY GONDOLA 8 WHEEL CAR USA NO BOX 7C
O SCALE MARX PENNSYLVANIA 347100 GRAY GONDOLA 8 WHEEL CAR USA NO BOX 7C
$11.95
MTH Union Pacific 55 Ton All Steel Drop bottom Gondola Car 20 98094
MTH Union Pacific 55 Ton All Steel Drop bottom Gondola Car 20 98094
$44.95


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