Every Quiz. Every Answer. All in One Place.

Scenario

At a busy river port, the crew of the cargo barge Tara-9 is loading steel containers using a giant crane.

The barge is a floating steel structure, 40 m long and 10 m wide. The sides of the Tara-9 extend 2.5 m above the water level when the barge is empty (not loaded). A load line is painted is painted on its side, 50 cm below the deck. This line marks the maximum safe water level. If the water rises above it, the barge may be overloaded and could sink into a storm.

Science

According to the law of floatation, a floating object displaces water whose weight is equal to the weight of the object. As more weight is added, the barge must displace more water, causing it to sink lower into the river.

• - Density of river water: 1 m³ of water weighs approximately 1,000 kg.

• - Empty barge: The deck is 250 cm above the river water.

• - Weight of each container: 20 tonnes.
  
  

Loading Stages

• - Stage 1: The crane loads 8 containers onto the barge.

• - Stage 2: Due to a mix-up during loading, 2 containers meant for another destination are accidentally loaded onto the barge and later removed.

• - Stage 3: The crane continues loading containers until the water reaches the painted line.
  
  

Question

How many more containers can they load before the water touches the painted line?

Scenario

At a busy river port, the crew of the cargo barge Tara-9 is loading steel containers using a giant crane. The barge is a floating steel structure, 40 m long and 10 m wide. The sides of the Tara-9 extend 2.5 m above the water level when the barge is empty (not loaded). A load line is painted on the side of the barge, 50 cm below the deck. This line marks the maximum safe water level. If the water rises above this line, the barge may be overloaded and could sink in rough conditions.

Science

According to the law of floatation, a floating object displaces a quantity of water whose weight is equal to the weight of the object. As more weight is added, the barge must displace more water, causing it to sink lower.

Loading Stages

• - Stage 1: The crane loads 8 containers onto the barge.

• - Stage 2: Due to a mix-up during loading, 2 containers meant for another destination are accidentally loaded onto the barge and later removed.

• - Stage 3: The crane continues loading containers until the water in the river reaches the painted line.
  
  

After reaching the painted line in the river, the Tara-9 heads out to sea to transfer its containers to another cargo ship. On the way, the crew receives a last-minute request for additional containers. The barge stops in seawater while waiting for another cargo barge to deliver the extra load.

Questions

i) River water: How many additional containers can the crew load after Stage 2 before the water reaches the painted line?

ii) Seawater: Once the barge is in seawater, how many additional containers can it carry before the water reaches the same painted line?