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A 5000kgopen train car is rolling on frictionless rails at 22m/swhen it starts pouring rain. A few minutes later, the car鈥檚 speed is 20m/s. What mass of water has collected in the car?

Short Answer

Expert verified

The mass of water that collected in the car ismwater=500kg.

Step by step solution

01

Given information   

We need to find the mass of water that collected in the car.

02

Simplify  

Because of isolated system the railway is frictionless. The object has mass mand moves with speed vthat has momentum p, Vector is a product of object's mass and its velocity.The momentum is given by equation in the form

role="math" localid="1649868600557" p=mv

Using expression pinto equation (1)

mfvf=mivi(2)

mi=5000kgis the mass of train before raining and it becomes mf after raining. Putting values for mi,viandvftogetmfWe have to solve equation (2)for mf

mf=mivivf=5000kg22m/s20m/s=5500kg

To get mass of the water in the car by

mwater=mf-mi=5500kg-5000kg=500kg

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