Ahorizontal block–spring system with the block on a frictionless surface has total mechanical energy e 5 47.0 j and a maximum displacement from equilibrium of 0.240 m. (a) what is the spring constant? (b) what is the kinetic energy of the system at the equilibrium point? (c) if the maximum speed of the block is 3.45 m/s, what is its mass? (d) what is the speed of the block when its displacement is 0.160 m? (e) find the kinetic energy of the block at x 5 0.160 m. (f) find the potential energy stored in the spring when x 5 0.160 m. (g) suppose the same system is released from rest at x 5 0.240 m on a rough surface so that it loses 14.0 j by the time it reaches its first turning point (after passing equilibrium at x 5 0). what is its position at that insta

Na food processing facility, a spherical container of inner radius r1 5 40 cm, outer radius r2 5 41 cm, and ther- mal conductivity k 5 1.5 w/m · k is used to store hot water and to keep it at 100°c at all times. to accomplish this, the outer surface of the container is wrapped with a 800-w electric strip heater and then insulated. the temperature of the inner surface of the container is observed to be nearly 120°c at all times. as- suming 10 percent of the heat generated in the heater is lost through the insulation, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container, (b) obtain a relation for the variation of temperature in the container material by solving the differential equation, and (c) evaluate the outer surface tempera- ture of the container. also determine how much water at 100°c this tank can supply steadily if the cold water enters at 20°c.

He viscosities of several liquids are being compared. all the liquids are poured down a slope with equal path lengths. the liquid with the highest viscosity will

What do elements in a family tend to share. a.) similar periods b.) similar groups c.) similar atomic symbols d.) similar chemical properties and characteristics