A freight car moving with a uniform velocity  v  receives sand from a stationary hopper that falls at the rate  \(\frac{dm}{dt} \). What is the force needed to keep the freight car moving at speed  v ?

1
\( F = v \frac{dm}{dt} \)
2
\(F = \frac{v^2}{1+v}\frac{dm}{dt} \)
3
\(F = \frac{v^2}{1-v}\frac{dm}{dt} \)
4
0

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