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A plastic tray will float in water because the plastic material is less dense than water, causing it to displace an amount of water greater than its own weight. This buoyant force keeps the tray afloat on the water's surface.
The work done can be calculated using the formula: work = force x distance. Plugging in the values, we get work = 18N x 1.5m = 27J. Therefore, you do 27 Joules of work to push the food tray along the cafeteria table.
The orange would roll off your tray due to inertia, which is the tendency of an object to resist changes in its state of motion. When you stop suddenly, the orange wants to keep moving forward due to its momentum, causing it to roll off the tray.
The measurement tray on a triple beam balance is used to hold the object being weighed. Placing the object on the tray allows for an accurate measurement of its mass by balancing it with the combination of the three beams on the balance.
A single styrofoam tray typically weighs around 20-30 grams, depending on its size and thickness.