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Answer :
Answer:
v=18.54167 m/s
Explanation:
the law of linear momentum conservation says that when the resultant force in an object is null, the linear momentum is constant over time, so in accordance the paragrapfh the railroad car is moving and the forces acting on it is the weight and the normal force, so we can say that the resultant force on the railroad car are equal to zero
So, the linear momentum can be written
[tex]V_{1}*m_{1}= V_{2}*m_{2}[/tex]
V_{1}= 15m/s
m1= 89000 kg
To the m2 we subtract the weight of sand that leak out
m2= 89000 kg - 17000 kg =72 000 kg
V_{2}=[tex]\frac{89000*15}{72000}[/tex]
V_{2}= 18.54167 m/s
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