A right circular cone can theoretically be balanced on a horizontal surface in three different ways. Sketch these three equilibrium configurations and identify them as positions of stable, unstable, or neutral equilibrium.

What mechanical work must you do to lift a uniform log that is 2.5 m long and has a mass of 140 kg from the horizontal to a vertical position?

The elasticity of a good is E=0.2. (a) A 3% price increase will cause the demand to -Select--- v by %. (b) A 3% price decrease will cause the demand to --Select--- v by %.

Find the work done by pumping all the oil (density = 794.6 kg / m³) over the edge of a cylindrical tank, which is resting on one of its bases. Suppose the radius of the base is 1.2 m, the height is 3.0 m, and the tank is full of oil. ans. 158687.4008 J

What formula would I need to use to solve this problem: The rope of a swing is 2.90 m long. Calculate the angle from the vertical at which a 84.0 kg man must begin to swing in order to have the same KE at the bottom as a 1440 kg car moving at 1.41 m/s (3.15 mph). The decrease in gravitational PE is converted into KE as the man falls. This decrease in gravitational PE depends on the change in height.

A 51-kg box is being pushed a distance of 7.0 m across the floor by a force P→⁢ whose magnitude is 185 N. The force P→⁢ is parallel to the displacement of the box. The coefficient of kinetic friction is 0.21. Determine the work done on the box by each of the four forces that act on the box. Be sure to include the proper plus or minus sign for the work done by each force.

Suppose you have an ice cream cone full of melted ice cream. The ice cream cone is in the shape of a right circular cone and is 0.5 feet tall with a width (diameter) of 0.25 feet at the top. You decide to drink the melted ice cream using a straw positioned at the top of the cone. How much work is necessary to drink all of the ice cream through the straw? Note that the approximate weight-density of melted ice cream is 64.05 pounds per cubic foot. Round your final answer to 3 decimal places.

A cylindrical tank, shown in the figure, has height 8 m and radius 4 m. Suppose the water tank is half-full of water. Determine the work required to empty the tank by pumping the water to a level 6 m above the top of the tank. Use 1000 kg/m³ for the density of water and 9.8 m/s² for the acceleration due to gravity. 4 m Draw a y-axis in the vertical direction (parallel to gravity) and choose the center of the bottom of the tank as the origin. For 0 ≤ y ≤8, find the cross-sectional area A(y). A(y) = (Type an exact answer, using as needed.) 8 m

A box of mass 4.0 kg hangs by a cable from the ceiling of an elevator. The elevator is moving up at a steady speed of 5.0 m/s for 8.0 m. Use g = 10 m/s2. Consider the system is the box and the Earth. When apply the following energy principle, considering the system is box+earth, which of the energy term is positive? Select all apply. ΔK + ΔUg + ΔUsp + ΔEth + ΔEch = Wext Answer choice     ΔK     ΔUg      ΔUsp     ΔEth      ΔEch     Wext

You overindulged on a delicious dessert, so you plan to work off the extra calories at the gym. To accomplish this, you decide to do a series of arm raises holding a 5.5 kg weight in one hand. The distance from your elbow to the weight is 38 cm, and in each arm raise you start with your arm horizontal and pivot it until it is vertical. Assume that the weight of your arm is small enough compared with the weight you are lifting that you can ignore it. As is typical, your muscles are 20 % in converting the food energy they use up into mechanical energy, with the rest going into heat. If your dessert contained 350 food calories, how many arm raises must you do to work off these calories?