Calculating Distance Moved by Boat with a Boy Aboard

  • Thread starter Thread starter misstoi21
  • Start date Start date
  • Tags Tags
    Boat
AI Thread Summary
To calculate the distance moved by the boat when the boy moves from the stern to the bow, the principle of conservation of momentum is applied, keeping the center of mass at rest. The equation M_boat * ΔX_boat + m_boy * ΔX_boy = 0 is used, where M is the mass of the boat and m is the mass of the boy. By establishing a reference frame at the bow of the boat, the displacement of the boy can be expressed in terms of the boat's movement. The boy's displacement is calculated as ΔX_boy = x - l, where l is the length of the boat. This approach allows for determining the exact distance the boat moves as the boy shifts positions.
misstoi21
Messages
2
Reaction score
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
M_{boat} \Delta {X_{boat}} + m_{boy}\Delta {X_{boy}} =0

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
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Find the Upward Force of a Boat with 6 People Aboard
Replies
11
Views
2K
Boat with Friction: CoM / Minimum Time Problem
Replies
1
Views
2K
What distance does the boat move
Replies
9
Views
3K
Boat slowing down with variable acceleration
Replies
1
Views
2K
Center of Mass - Man on Boat Homework help
Replies
7
Views
7K
Velocity of boat connected by a pulley fixed at some height
Replies
6
Views
2K
Center of mass and momentum in boat question
Replies
8
Views
3K
Center of Mass boat distance from shore what am I doing wrong?
Replies
1
Views
3K
Center of mass question (man on a boat)
Replies
2
Views
12K
Calculating Resistance in Prototype Boat using Formula of Force
Replies
27
Views
2K

Hot Threads

Recent Insights

Back
Top