A 4800-kg open railroad car coasts along with a constantspeed of 7.5 m/s on a level track.Snow begins to fall vertically and fills the car at a rate of 3.5 kg/min. Ignoringfriction with the tracks, What is the speed of the car after90 min.

Respuesta :

The speed of the car after 90 minutes is 7.04 m/[tex]s^{2}[/tex]. This question is based on the concept of conservation of momentum.

According to the law of conservation of momentum," in an isolated system the total momentum of two or more bodies acting upon each other remains constant unless an external force is applied". Therefore, it can be said that momentum can neither be created nor destroyed for an isolated system.

We have momentum of car before accumulation of snow and after accumulation of snow.

M1 = mass of car

V1 = constant velocity of car

M2 = mass of car + mass of accumulated snow

V2 = mass of the system ( car + snow together)

[tex]P_{initial[/tex] = [tex]P_{final[/tex]

M2V2 = M1V1

V2 = M1V1/M2

    = 4800×7.5/4800+3.5×90 =  7.04 m/[tex]s^{2}[/tex]

To know more about conservation of momentum here

brainly.com/question/3920210

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