Dynamics - supertanker coasting to a stop

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In summary, a supertanker with a mass of 250,000 metric tons traveling at an initial speed of 30 km/h will travel 5.25 km while coasting to a stop with a constant negative acceleration in 21 minutes. The force supplied by fluid friction of the water while the tanker is stopping is 1.65*10^6 N.
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azukibean
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Dynamics -- supertanker coasting to a stop

1. Problem
Assuming constant negative acceleration, how far does a supertanker of a mass of 250000 metric tons travel while coasting to a stop from an initial speed of 30 km/h in 21 min?
What force is supplied by fluid friction of the water while the tanker is stopping?

2. Relevant formulas
S-S0 = (V+V0)t/2
ma = sum (F)
(1/2)at^2+v0t+S0=0
v=at+v0

3. Work I Did
250k met ton = 250,000,000 kg
30 km/h = 500 m/s
21 min = 1260 s
0 = 1260a + 500
a = -500/1260
(0+500)/2*1260 = 315 km (part a)
ma = -F(friction)
1000*(-50/126); Ff = 396.82 N (part b)

a: 5.25 km
b: 1.65*10^6 N
 
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  • #2
30km/h is not 500 m/s !
 
  • #3
Thanks!
Using the same equations as I did in part a I got 5250 m -> 5.25 km; a = -5/756; v0 = 50/6.
Part B I used 250,000,000 for the mass instead of 1000 kg and got the right answer.
This is kind of embarrassing. I must've stared at the problem, confused, for quite a while.
 

FAQ: Dynamics - supertanker coasting to a stop

1.

What is a supertanker and why does it coast to a stop?

A supertanker is a very large ship designed to transport large amounts of oil or other liquids. When a supertanker is in motion, it builds up momentum due to its size and weight. However, when the engine is turned off or the ship reaches its destination, the momentum causes it to continue moving until it eventually comes to a stop.

2.

What factors affect the dynamics of a supertanker coasting to a stop?

The dynamics of a supertanker coasting to a stop are affected by several factors, including the ship's size and weight, the water conditions, the force of gravity, and any external forces such as wind or currents. The ship's speed and direction of travel also play a role in its stopping distance.

3.

How does the stopping distance of a supertanker compare to that of a smaller vessel?

Due to its large size and weight, a supertanker has a much longer stopping distance than a smaller vessel. This is because it has more momentum and requires more force to slow down and come to a stop. Additionally, the shape and design of a supertanker can also affect its stopping distance.

4.

What safety measures are in place to control the dynamics of a supertanker coasting to a stop?

There are several safety measures in place to control the dynamics of a supertanker coasting to a stop. These include using tugboats to assist with maneuvering and slowing down the ship, having trained and experienced crew members to handle the ship's movement, and using technology such as thrusters and autopilot systems to help control the ship's speed and direction.

5.

What are the potential risks associated with a supertanker coasting to a stop?

The potential risks associated with a supertanker coasting to a stop include collisions with other vessels or objects, damage to the ship's hull or cargo, and environmental hazards such as oil spills. It is important for the crew to carefully monitor and control the ship's movements to minimize these risks and ensure a safe and successful stop.

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