Part 1: Identifying an unknown material by determining its densityA solid metal homogeneous object with density p and volume V is suspended from the bottom of a spring scale andmeasured to have weight W = mg = pVg. When the hanging object is fully submerged in water (PH,0 = 1000kg/m³),the scale shows a different value, called the "apparent" weight, W'. (In today's lab you may neglect the mass of the stringconnected to your metal object.)Theoretical calculations1. Draw two free body diagrams for the hanging object: (a) one that shows the forces acting on the suspended object inair, and (b) one that shows the forces acting on the suspended object when immersed in water.2. Consider the forces acting on the submerged object and show that apparent weight can be expressed as:p- PH2OW'W(1)

The FBD's for the hanging object when suspended in air and when in water are shown below

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