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A boat (with a flat bottom) and its cargo weigh 7,800 N

Question

A boat (with a flat bottom) and its cargo weigh 7,800 N. The area of the boat’s bottom is 5 m2. How far below the surface of the water is the boat’s bottom when it is floating in water?

 
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Compute its maximum payload at sea level.

Question

A modern-day zeppelin holds 7,880 m3 of helium. Compute its maximum payload at sea level. (Assume the helium and air to be at 0°C and 1 atm.)

 
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A machinist wishes to insert a copper rod with a diameter of 8 mm

Question

A machinist wishes to insert a copper rod with a diameter of 8 mm into a hole with a diameter of 7.991 mm. By how much would the machinist have to lower the temperature (in °C) of the rod to make it fit the hole?

 
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An apartment has the dimensions 14 m by 7 m by 5 m.

Question

An apartment has the dimensions 14 m by 7 m by 5 m. The temperature is 30°C, and the relative humidity is 54 percent. What is the total mass (in kg) of water vapor in the air in the apartment?

 
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