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A canal barge of mass III is traveling at speed V i when it shuts off its engines. The drag force D with the water is given by D = bv, (a) Find an expression for the time required for the barge to reduce its speed to V f . (b) Evaluate the time numerically for a 970-kg barge traveling initially at 32 km/h to re- duce its speed to 8.3 km/h; the value of b is 68 N' s/m.

A canal barge of mass III is traveling at speed Vi when it shuts off its engines. The drag force D with the water is given by D = bv, (a) Find an expression for the time required for the barge to reduce its speed to Vf. (b) Evaluate the time numerically for a 970-kg barge traveling initially at 32 km/h to re- duce its speed to 8.3 km/h; the value of b is 68 N' s/m.

Grade:10

1 Answers

Jitender Pal
askIITians Faculty 365 Points
6 years ago
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Round off to two significant figures,
t = 19 s
Therefore, the time taken by the barge to move from initial velocity of 32 km / h to final velocity of under the action of the drag force is 19 s .

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