1) The weight of a rock is measured to be 0.075 lbs. After placing the rock in a graduated cylinder containing 17.09 mL of water, the new measurement is 28.76 mL. Calculate the density of the rock in g/mL.
1) The weight of a rock is measured to be 0.075 lbs. After placing the rock in a graduated cylinder containing 17.09 mL of water, the new measurement is 28.76 mL. Calculate the density of the rock in g/mL.
2) A person measures the velocity of a biker riding in a straight line along a sidewalk using a stopwatch. The time it took for the biker to pass 29 squares on the sidewalk was 11.29 seconds. The area of the squares on the sidewalk was measured to be 2731 in2. Calculate the velocity of the biker in m/s.Note: 1 in = 2.54 cm
3) A hollow square metal tube has a measurement of 1.98 in for each side and a weight of 60.92 g. The volume of empty space inside the tube was measured to be 2.44 in3. If the density of the metal used in constructing the tube is 11.46 g/mL, calculate the length of the tube in inches.Note: 1 in = 2.54 cm, 1 cm3 = 1 mL
4) Porosity is a measure of the void or empty spaces in a material and is a fraction of the volume of voids over the total volume. The density of the solid material used to create 12 pieces of 0.84 cm diameter and 1 cm height cylindrical beads is determined to be 1.64 g/mL. These beads were then placed in a flask and was filled to the 46 mL mark with a salt solution. The total weight measured of the beads and the salt solution was 56.34 g. Upon further inspection, it was found that manufacturing defects caused the measured porosity of the beads to be at 32%. Assuming that the solution was able to fully fill the empty spaces inside the beads, calculate the density of the salt solution.
5) A chocolate manufacturing plant produces chocolate-coated macadamia nuts. One specific batch of chocolates weighed an average of 4.59 g for each piece. It was found out that the macadamia nuts used in the batch had three total defects wherein 29.77 % had only three fourths a macadamia nut with a weight of 4.67 g for each piece, 13.79 % had only one half of a macadamia nut with a weight of 4.31 g for each piece, and 17.64 % had only one fourth of a macadamia nut with a weight of 3.91 g for each piece. Assuming that the amount of chocolate coating for each chocolate in the specific batch is constant and each whole macadamia nut weighs the same, calculate the weight of each piece of chocolate having a whole macadamia nut.
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