A uniform bridge span weighs 50.0 x 10 N and is 40.0 m long. An automobile weighing 15.0 x 103 N is parked with its center of gravity located 12.0 m from the right pier. What upward support force does the left pier provide? (29.5 x 10* N) A uniform 1.0-N meter stick is suspended horizontally by vertical strings attached at each end. A 2.0-N weight is suspended from the 10-cm position on the stick, another 2.0-N weight is suspended from the 50 cm position, and a 3.0-N weight is suspended from the 60 cm position. What is the tension in the string attached at the 100-cm end of the stick? (3.5 N) Masses are distributed in the x, y-plane as follows: 6.0 kg at (0.0, 0.0) m, 4.0 kg at (2.0, 0.0) m, and 5.0 kg at (2.0, 3.0) m. What is the x-coordinate of the center of gravity of this system of masses? (1.2 m) Masses are distributed in the xy-plane as follows: 10 kg at (2.0, 6.0) m. 4.0 kg at (2.0, 0.0) m, and 6.0 kg at (0.0, 3.0) m. Where would a 20-kg mass need to be positioned so that the center of gravity of the resulting four mass system would be at the origin? (-1.4m, -3.9m) A hoop of radius 1.0 m is placed in the first quadrant of a xy-coordinate system with its rim touching both the x-axis and the y-axis. What are the coordinates of its center of gravity? (1.0m, 1.0m)A piece of aluminum has density 2.70 g/cm and mass 775 g. The aluminum is submerged in a container of oil of density 0.650 g/cm'. A spring balance is attached with string to the piece of aluminum. What reading will the balance register in grams (g) for the submerged metal? (588 g) A block of wood has density 0.50 g/cm and mass 1 500 g. It floats in a container of oil (the oil's density is 0.75 g/cm ). What volume of oil does the wood displace? (2 000 cm3) A ping-pong ball has an average density of 0.0840 g/cm' and a diameter of 3.80 cm. What force would be required to keep the ball completely submerged under water? (0.258 N) A cube of wood of density 0.78 g/cm is 10 cm on a side. When placed in water, what height of the block will float above the surface? (2.2 cm) What is the total mass of the Earth's atmosphere? (The radius of the Earth is 6.4 x 10 m, and atmospheric pressure at the surface is 10 N/m.) (5 x 1018 kg)