Calculating Distance Moved by Boat with a Boy Aboard

  • Thread starter misstoi21
  • Start date
  • Tags
    Boat
In summary, the boat has a mass of 80kg and the boy has a mass of 36kg. The boy moves from the stern to the bows of the boat, with a distance of 2.8m. At low speeds, water resistance can be neglected and the center of mass remains at rest. Using the reference frame at the bow of the boat, the displacement of the boat is equal to the displacement of the boy plus the length of the boat. Therefore, the displacement of the boy can be calculated as x - l.
  • #1
misstoi21
2
0
The mass of a boat is M=80kg, the mass of a boy is m=36kg. The boy moves from the stern to the bows of the boat. What distance does the boat move, if its length is 2.8m? At such low speeds the water resistance may be neglected. Hint: Center of mass remains at rest.

Please help becuase I am stumped... :confused:
 
Physics news on Phys.org
  • #3
[tex]M_{boat} \Delta {X_{boat}} + m_{boy}\Delta {X_{boy}} =0 [/tex]

Coose ur reference frame let it be at the bow of the boat
Now dboy=dboy/boat+dboat

Let x be the displacement of boat then (Delta)Xboat = x
then
dboy = x-l

Where l is the length
 

FAQ: Calculating Distance Moved by Boat with a Boy Aboard

How do you calculate the distance moved by a boat with a boy aboard?

To calculate the distance moved by a boat with a boy aboard, you will need to know the initial position of the boat, the final position of the boat, and the time it took to travel between those two points. Then, you can use the formula d = rt, where d is the distance, r is the rate or speed of the boat, and t is the time. Simply plug in the known values to solve for the distance.

What factors affect the distance a boat can travel with a boy aboard?

The distance a boat can travel with a boy aboard can be affected by various factors such as the speed of the boat, the direction and strength of the wind, the current of the water, and the weight of the boy. These factors can impact the boat's overall speed and the distance it can cover in a certain amount of time.

How do you account for the weight of the boy when calculating the distance moved by the boat?

The weight of the boy can be factored into the calculation by adjusting the boat's speed or rate accordingly. In general, a heavier weight on the boat will result in a slower speed and therefore a shorter distance traveled. The weight of the boy should also be included when determining the rate (r) in the formula d = rt.

Can you calculate the distance moved by the boat if you don't know the time it took?

No, the time is a crucial component in calculating the distance moved by the boat. Without knowing the time, the formula d = rt cannot be solved. Therefore, it is important to keep track of the time when measuring the distance traveled by a boat with a boy aboard.

How can you measure the distance moved by a boat with a boy aboard accurately?

To measure the distance moved by a boat with a boy aboard accurately, you can use tools such as a GPS device or a speedometer. Alternatively, you can also use landmarks or known distances to estimate the distance traveled. It is important to minimize any external factors that may affect the boat's movement, such as wind or currents, to ensure an accurate measurement.

Similar threads

Replies
11
Views
2K
Replies
1
Views
1K
Replies
9
Views
3K
Replies
1
Views
2K
Replies
7
Views
7K
Replies
8
Views
3K
Replies
2
Views
11K
Back
Top