Density Density - to do with the mass of each atom and how tightly they are packed together. Each material has its own density which can be used to identify it. Density = mass ÷ volume =m÷V - rho Density is measured in kg/m3 or kgm-3. It is a scalar quantity ( mass and volume are both scalar) You have 4 activities to do the density of a solid the density of a liquid the density of a gas (air) how the density of solids liquids and gases compare Tutorial questions SAQs 90 to 93 Purple book Chp 3.1 Density Qu 1 to 9 Solid liquid Density 1000 Volume 1 Spacing 1 1000 1 1 gas 1 1000 10 Pressure Which would sink into mud further? weight Pressure = force ÷ area P= F ÷A Pressure is measured in N/m2. It is a scalar quantity. 1 N/m2 = 1 Pascal = 1 Pa weight Pressure Example: Explain why a person can lie on a bed of nails but can’t on a single nail. Note: it is good to use an equation in an explanation Experiment A: Find your pressure on the floor when you stand on one foot. Examine a Bourdon Gauge and draw a labelled diagram of it. Experiment B: Find out how a liquid’s pressure varies with its depth Experiment C: Find out how pressure of a liquid varies with its density Tutorial questions 10 to 14 From the previous experiment P = gh F = PA where h is depth Pressure increases with depth Sidewise forces cancel out. Up force due to water pressure is bigger than downward force. Upthrust or buoyancy is the difference in the upward and downward forces. Buoyancy equals the weight of the displaced liquid. Floating or Sinking FB- buoyancy Fu = FB + Fw if FB = - FW object is stationary Fw - weight FB Fu = FB + Fw if FB > - FW object is rises Fw FB Fu = FB + Fw if FB < - FW object is sinks Fw FB – Fw is sometimes called the apparent weight For balanced forces there is no change in movement. Force due to water buoyancy Force due to gravity weight Increase weight Going down Decrease weight Going up 1. An object with mass 0.5 kg and density 4000kg/m3 is totally immersed in water. Water density 1000 kg/m3 What is (a) its volume (b) the apparent weight. 2. A hot air balloon is tethered to the ground. Draw a free body diagram showing the forces on it. 3. Calculate the apparent weight of a 1kg mass of volume 150ml. Then try it out. Tutorial questions 15 to 20 SAQ pages 20 to 26 Purple book Chp 3.8