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1. Your car's fuel efficiency is 35 miles per gallon. Assume that your car's fuel pump pulls fuel out of the fuel tank at a constant rate through a tube. If the speed of the fuel through the tube is equal to the speed of the car, what must be the cross-sectional area of the tube in square inches? What is it square millimeters? (Conversion factors: 1 gallon is equal to 231 cubic inches. For every mile traveled, the car uses a volume of fuel equal to the cross-sectional area of the tube × 1 mile. There are 12 inches per feet and 5280 ft per mile. How many inches are in a mile? How many cubic inches are in 1 square inches × 1 mile? There are 2.54 cm per inch.)
2. A steel sphere 3.0 cm in diamter has a mass of 0.11 kg. What is the mass of a steel sphere 5.0 cm in diameter?
A curved plate of mass M is placed on the horizontal, frictionless plane as shown. How high the puck will shoot up from the plate
The bullet remains in the block, and after the impact the block lands d = 1.90 m from the bottom of the table. How much time does it take the block to reach the ground once it flies off the edge of the table.
A rock climber throws a small first aid kit to another climber who is higher up the mountain. FIND the vertical height difference between the two climbers
Suppose you are at the earth's equator and observe a satellite passing directly overhead and moving from west to east in the sky. How far above the earth's surface is the satellite's orbit
A 34.4-kg crate rests on a horizontal floor, and a 71.8-kg person is standing on the crate. Determine the magnitude of the normal force that the floor exerts on the crate
Consider a theoretical head-on collision between two carts of equal mass and equal speed. What is the total momentum after the collision
If a woman lifts a 20.0 kg bucket from a well and does 6.00 kJ of work, how deep is the well? Suppose that the speed of the bucket remains constant as it is lifted.
A particular vacuum flask has a mass of 1 kilogram and contains 1 liter of liquid water, how much energy did the heating element supply, You can disregard the energy needed to warm and vaporize the water
Amtrak's 20th-Century Limited is en route from Chicago to New York at 120km/h, How far was the train from the cow when the engineer first applied the brakes
500 mL of a liquid with a coefficient of volume expansion of 205x10-6/oC fills to the brim a container that has a coefficient of volume expansion of 105x10-6/oC. how much of the liquid will overflow the container
A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.55Hz, Ignoring the mass of the spring, what is the mass m of the fish
A torque of 14Nm is applied to a heavy wheel whose moment of inertia is 34 kgm2. What is the angular acceleration of the wheel
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