Distance Canoe physics Problem

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In summary, the man's movement from the back to the front of the canoe causes the canoe to move 1.53 meters in the opposite direction due to the conservation of center of mass.
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perfectlovehe
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A man with a mass of 65 kg stands up in a 64-kg canoe of length 4.0 m floating on water. He walks from a point 0.75 m from the back of the canoe to a point 0.75 m from the front of the canoe. Assume negligible friction between the canoe and the water. How far does the canoe move? (Assume the canoe has a uniform density such that its center of mass location is at the center of the canoe.)
 
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  • #2
Since there is no external force acting on the canoe, the center of mass remains at rest.

In two cases the center of mass from the back of canoe are

[tex]\frac{65*0.75 + 64*2}{65 + 64} = \frac{65*1.5 + 64(2-x)}{65+64}[/tex]

Now solve for x.

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What is the distance canoe physics problem?

The distance canoe physics problem is a scenario in which a canoe is traveling a certain distance down a river with varying current speeds. The goal is to determine how long it will take the canoe to reach its destination and the distance it will travel.

What are the key factors that affect the canoe's journey in this problem?

The key factors that affect the canoe's journey in this problem are the speed of the canoe, the speed of the current, and the distance that the canoe is traveling. Other factors such as wind, obstacles, and the direction of the current may also play a role.

How do you calculate the time it takes for the canoe to reach its destination?

To calculate the time it takes for the canoe to reach its destination, you can use the formula: time = distance / (canoe speed + current speed). This formula takes into account the speed at which the canoe is traveling and the speed of the current, and calculates the total time needed for the journey.

What happens if the canoe is traveling against the current?

If the canoe is traveling against the current, the journey will take longer and the canoe will travel a shorter distance. This is because the current is working against the canoe's forward motion, making it more difficult to reach its destination.

How can you use this problem in real life situations?

The distance canoe physics problem can be applied in real life situations such as planning a canoe trip down a river, determining the best route for a canoe race, or calculating the effect of a current on marine transportation. It can also be used in education to teach basic physics concepts such as velocity, distance, and time.

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