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45. Afisherman sets out upstream on a river. His small boat, powered bystill water. The water flows at a lower constant speed v. Thefisherman has traveled upstream for 2.00 km when his icechest falls out of the boat. He notices that the chest is missan outboard motor, travels at a constant speed v ining only after he has gone upstream for another 15.0 min. Atthat point, he turns around and heads back downstream, allthe time traveling at the same speed relative to the water. Hecatches up with the floating ice chest just as he returns to hisstarting point. How fast is the river flowing? Solve this prob-lem in two ways. (a) First, use the Earth as a reference frameWith respect to the Earth, the boat travels upstream at speedv- and downstream at v + v (b) A second much simpler and more elegant solution is obtained by using the water asthe reference frame. This approach has important applica-tions in many moreculating the motion of rockets and satellites and analyzingthe scattering of subatomic particles from massive targetscomplicated problems; examples are cal

Question
45. Afisherman sets out upstream on a river. His small boat, pow
ered by
still water. The water flows at a lower constant speed v. The
fisherman has traveled upstream for 2.00 km when his ice
chest falls out of the boat. He notices that the chest is miss
an outboard motor, travels at a constant speed v in
ing only after he has gone upstream for another 15.0 min. At
that point, he turns around and heads back downstream, all
the time traveling at the same speed relative to the water. He
catches up with the floating ice chest just as he returns to his
starting point. How fast is the river flowing? Solve this prob-
lem in two ways. (a) First, use the Earth as a reference frame
With respect to the Earth, the boat travels upstream at speed
v- and downstream at v + v (b) A second much simpler
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45. Afisherman sets out upstream on a river. His small boat, pow ered by still water. The water flows at a lower constant speed v. The fisherman has traveled upstream for 2.00 km when his ice chest falls out of the boat. He notices that the chest is miss an outboard motor, travels at a constant speed v in ing only after he has gone upstream for another 15.0 min. At that point, he turns around and heads back downstream, all the time traveling at the same speed relative to the water. He catches up with the floating ice chest just as he returns to his starting point. How fast is the river flowing? Solve this prob- lem in two ways. (a) First, use the Earth as a reference frame With respect to the Earth, the boat travels upstream at speed v- and downstream at v + v (b) A second much simpler

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and more elegant solution is obtained by using the water as
the reference frame. This approach has important applica-
tions in many more
culating the motion of rockets and satellites and analyzing
the scattering of subatomic particles from massive targets
complicated problems; examples are cal
help_outline

Image Transcriptionclose

and more elegant solution is obtained by using the water as the reference frame. This approach has important applica- tions in many more culating the motion of rockets and satellites and analyzing the scattering of subatomic particles from massive targets complicated problems; examples are cal

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check_circleAnswer
Step 1

Let us consider earth as a reference frame, vu be the velocity of boat travelling upstream, and vd be the velocity of boat travelling downstream.

י., -
1ל
=v +v.
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י., - 1ל =v +v.

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Step 2

Write the expression for distance travelled in 15 min upstream, and total distance travelled.

- 15(-km
=(2+15( km
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- 15(-km =(2+15( km

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Step 3

Let t’ be the time taken for the chest and boat to reach ...

(2-15v
t' =
2 +15(y
t'
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(2-15v t' = 2 +15(y t'

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