What is the magnitude of the force in Newtons?What is the mass of the water?

Unit VI Problem solving worksheet

Solve the problems below. Each question is worth 10 points. You must show your work with as much detail as possible. Answer the questions directly in this template. Before doing so, it is highly recommended that you thoroughly review the Unit VI Lesson in the study guide.

1. If the mass of air inside a room is 1 kg, what is the volume of the air? Use Table 11.1 on page 290 in the textbook. Hint: Review Sample Question 1 in the Unit VI Lesson.

2. A massless cube container holds water whose density is 1000 kg/m3. The length of the side of the cube is 7 meters. What is the mass of the water? Hint: The volume of a cube is obtained by R x R x R, where R is the length of the side of the cube. Use the formula mass = density x volume.

3. A 10-kg piece of metal displaces 0.002 m3 of water when submerged. What is the density of the metal? Hint: Use the formula mass = density x volume.

4. The pressure acting on a floating piece of wood is measured by 12345 Pascal, and its surface area is 0.6789 m2. What is the magnitude of the force in Newtons? Hint: Review Example 2 on page 292 in the textbook.

5. A boy’s height is 1.76 meters. The vertical distance from his head to his heart is measured as 0.39 m. Find the blood pressure difference between the blood pressure in the anterior tibial artery at the foot and the blood pressure in the aorta at the heart. What is the blood pressure difference between them? The density of blood is 1060 kg/m3, and the blood is assumed as being a static fluid. Hint: Review Sample Question 2 in the Unit VI Lesson.