An uncoupled \(20,000-\mathrm{kg}\) railroad hopper car coasts along a track at \(2.0 \mathrm{~m} / \mathrm{s}\). As it passes a grain chute, the chute opens (Figure P6.81), grain fills the car at a rate of \(4000 \mathrm{~kg} / \mathrm{s}\) for \(5.0 \mathrm{~s}\), and the chute closes.

(a) How fast is the car going after the chute closes?

(b) How far does the car travel during the \(5.0 \mathrm{~s}\) in which grain is being added? (This distance is the length of the trail of grain in the car.)

(c) Where is the center of mass of the grain-car system at the end of the \(5.0 \mathrm{~s}\) ?

(d) Where is the center of mass of the trail of grain at the end of the \(5.0 \mathrm{~s}\) ?

(e) Why doesn't the center of mass of the trail of grain coincide with the point midway between the two ends of the trail?

Data from Figure P6.81

Transcribed Image Text:

grain hopper car chute