1000 cm³ 4. Assume the balloon is replaced by a 0.5 Kg piece of wood that has exactly the same volume (1000 cm³ or 0.001 m³ or 1000mL), as shown in Figure 2. A) What is the volume of water displaced by the piece of wood? (V=V.) B) What is the mass of water displaced by the piece of wood? (p=m/v) Figure 2 c) What is the weight of water displaced by the piece of wood? Method 1: Use (F=m+g) E D) What is the weight of water displaced by the piece of wood? Method 2: Use (Fr=FB=P/V+g) F What is weight of the piece of wood? (F=mg) Will the wood float or sink? Explain your answer. (compare F, and Fa or Suggestions: Showing Reconnecting

ICE ANOTHER Alloys of gold are rated in karats, a dimensionless unit that is used to indicate the proportion of gold by weight in a gold-containing alloy. If an alloy is one part in twenty-four pure gold, then it is classified as one karat gold. The density of gold is 19.3 × 103 kg/m3. Determine the volume of gold in a 23.0 karat gold necklace that has a weight of 1.63 N. m3 Additional Materials O Reading

Vb = D A D Vmax = m³ c) What is the depth D below the waterline? W max = b) What is the volume of water displaced when the barge is empty? This will be in terms of D. m h Water. line m³ 1) A flat bottomed barge in the water has a base with area A 4000 m². The height, h, of the barge is 2 m. and the distance D is the depth of the barge below the i water line. The mass of the barge when empty is m, = 1,000,000 kg. N a) What is the weight of the empty barge? 9,800,000 mg = 1,000,000 (9.8) W₁ = The theoretical maximum mass of the barge, including its load, will be when the top of the barge is at the water level. d) What is the maximum volume of water displaced, and the mass of this much water? e) What is the theoretical maximum weight of the barge? N Illmax = - 16 hour!! (3) kg 525555, 004 Hae ad 11.

Suppose you have a coffee mug with a circular cross section and vertical sides (uniform radius). What is its inside radius if it holds 385 g of coffee when filled to a depth of 7.5 cm? Assume coffee has the same density as water of 1000 kg/m³. Think & Prepare 1. What is the shape of the coffee mug? How would you calculate the volume of the coffee mug? r= cm