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An ice floe is floating in the sea. The ...

An ice floe is floating in the sea. The part which is above the water is a prism of height `0.5 m`. A `200 kg` seal climbs onto the floe, which sinks `5cm` deeper into the water. How many seals, which have the same mass, can the floe hold without sinking totally into the water ?

A

`10`

B

`20`

C

`30`

D

`40`

Text Solution

AI Generated Solution

To solve the problem, we need to determine how many seals can be on the ice floe without it sinking completely. We will use the principles of buoyancy and the relationship between weight and buoyant force. ### Step-by-Step Solution: 1. **Understand the Initial Conditions**: - The height of the ice floe above water is \( h = 0.5 \, \text{m} \). - The mass of one seal is \( m = 200 \, \text{kg} \). - When one seal climbs onto the floe, it sinks \( d = 5 \, \text{cm} = 0.05 \, \text{m} \) deeper into the water. ...
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