A metal bar is in the xy-plane with one end of the bar at the origin. A force F⃗ =( 6.39 N )i +( -3.16 N )j is applied to the bar at the point x = 2.29 m, y = 3.19 m. **A)** What is the position vector r⃗ for the point where the force is applied?
Enter the x and y components of the radius vector separated by a comma.*

**B)** What is the magnitude of the torque with respect to the origin produced by F⃗ ?
Express your answer with the appropriate units.

**C)** What is the direction of the torque with respect to the origin produced by F⃗ ?
What is the direction of the torque with respect to the origin produced by ?
+x-direction
+y-direction
+z-direction
−x-direction
−y-direction
−z-direction

Agymnast dismounts off the uneven bars in a tuck position with a radius of 0.3m (assume she is a solid sphere) and an angular velocity of 2rev/s. during the dismount she stretches out into the straight position, with a length of 1.5m, (assume she is a uniform rod through the center) for her landing. the gymnast has a mass of 50kg. what is her angular velocity in the straight position?

Steam is generated in a boiler of a cogeneration plant at 10 mpa and 450°c at a steady rate of 5 kg/s. in normal operation, steam expands in a turbine to a pressure of 0.5 mpa and is then routed to the process heater, where it supplies the process heat. steam leaves the process heater as a saturated liquid and is pumped to the boiler pressure. in this mode, no steam passes through a condenser, which operates at 20 kpa. (a) determine the power produced in the turbine and the rate at which process heat is supplied in this mode. (b) determine the power produced in the turbine and the rate of process heat supplied if only 60 percent of the steam is routed to the process heater and the remainder is expanded to the condenser pressure. (3.32 mw; 9.69 mw; 4.25 mw; 5.82 mw)

Sort the images based on whether there's a force of attraction or repulsion between the magnets shown. attraction repulsion