1. (2.2 from text): What is the average density of the earth? The earth has a mass of 5.98 x10" ke The average diameter of the earth is 1.27 x 10 m. Assume the earth is a sphere. Compare this density to the density of water.

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Chapter1: Units, Trigonometry. And Vectors
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1114 (Page) Assignment#8 (due Monday July 12th by 11:30am)
Each assignment will contain questions to be handed in for marking. Remember that to get full marks on a problem you
must include diagrams, coordinate systems etc. You must show your work to receive marks. Include a diagram and
co-ordinate system as needed.
Note: as stated on the course outline, only a selection of the problems may be marked for credit so DO ALL
THE QUESTIONS as you do not know which ones will be marked.
Questions:
1. (2.2 from text): What is the average density of the earth? The earth has a mass of 5.98 x10" kg. The average
diameter of the earth is 1.27 x 10' m. Assume the earth is a sphere. Compare this density to the density of
water.
(Ans SS 10/m)
2. (3.4 from text): The density of ice is 9.20 x 10 kg/m'. An ice cube which is 20.0 mm high floats in water. What
height of the side of the ice cube is above the surface of the water?
(An 1 mm
3. (8.3 from text): A large tank contains a layer of water which is 3.26 m deep. Above the layer of water is a layer
of oil which is 1.84 m deep. The density of the oil is 7.60x10 kg/m.
a. What is the pressure at the bottom of the tank due to the weight of both liquids?
b. There is a valve at the bottom of the tank. The area of the valve is 7.83x10'm. What force does the
pressure at the bottom of the tank exert on the valve?
hutters
4. (4.1.B from text): Consider three wooden blocks floating in fresh water. They all have the same volume: 1.0 m'.
Calculate the forces acting on each block and draw a FBD for each Use g- 10 m/s
Calculate Ifl using
-Archimedes' principle (find the volume of water displaced by each block)
and the condition for static equilibrium: EF,-0 (calculate the mass of each block)
banboo
5. (4.5 from text): Sinking object. A stone of mass 1.0 kg and density 5000 kg/m is dropped in water. It crossed the
surface of the water with an initial velocity of -0.55 m/s ).
(a) Calculate the forces acting on the stone. Draw a F.B.D.
(b) Calculate the acceleration of the stone.
(c) Calculate the position of the stone after 1.0s. Use an upward y-axis with its origin at the surface of the water.
(d) The stone settles on the bottom of the container. Draw a FBD for the stone and calculate the normal force.
An RI N); 96 N, E75 Nän-7.85 mv). m S N
6. (9.4 from text): A piece of metal with an irregular shape has a mass of 4.281 kg. When weighed while
submerged in water, the piece of metal has an apparent mass of 4.000 kg. What is the density of the metal?
(Ans 15O kg/m
Transcribed Image Text:1 of 1 1114 (Page) Assignment#8 (due Monday July 12th by 11:30am) Each assignment will contain questions to be handed in for marking. Remember that to get full marks on a problem you must include diagrams, coordinate systems etc. You must show your work to receive marks. Include a diagram and co-ordinate system as needed. Note: as stated on the course outline, only a selection of the problems may be marked for credit so DO ALL THE QUESTIONS as you do not know which ones will be marked. Questions: 1. (2.2 from text): What is the average density of the earth? The earth has a mass of 5.98 x10" kg. The average diameter of the earth is 1.27 x 10' m. Assume the earth is a sphere. Compare this density to the density of water. (Ans SS 10/m) 2. (3.4 from text): The density of ice is 9.20 x 10 kg/m'. An ice cube which is 20.0 mm high floats in water. What height of the side of the ice cube is above the surface of the water? (An 1 mm 3. (8.3 from text): A large tank contains a layer of water which is 3.26 m deep. Above the layer of water is a layer of oil which is 1.84 m deep. The density of the oil is 7.60x10 kg/m. a. What is the pressure at the bottom of the tank due to the weight of both liquids? b. There is a valve at the bottom of the tank. The area of the valve is 7.83x10'm. What force does the pressure at the bottom of the tank exert on the valve? hutters 4. (4.1.B from text): Consider three wooden blocks floating in fresh water. They all have the same volume: 1.0 m'. Calculate the forces acting on each block and draw a FBD for each Use g- 10 m/s Calculate Ifl using -Archimedes' principle (find the volume of water displaced by each block) and the condition for static equilibrium: EF,-0 (calculate the mass of each block) banboo 5. (4.5 from text): Sinking object. A stone of mass 1.0 kg and density 5000 kg/m is dropped in water. It crossed the surface of the water with an initial velocity of -0.55 m/s ). (a) Calculate the forces acting on the stone. Draw a F.B.D. (b) Calculate the acceleration of the stone. (c) Calculate the position of the stone after 1.0s. Use an upward y-axis with its origin at the surface of the water. (d) The stone settles on the bottom of the container. Draw a FBD for the stone and calculate the normal force. An RI N); 96 N, E75 Nän-7.85 mv). m S N 6. (9.4 from text): A piece of metal with an irregular shape has a mass of 4.281 kg. When weighed while submerged in water, the piece of metal has an apparent mass of 4.000 kg. What is the density of the metal? (Ans 15O kg/m
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