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

chemical energy --> gravitational potential energy --> kinetic energy --> elastic potential energy --> gravitational potential energy

explanation:

when emma starts the hike, the chemical energy stored in her body is used to climb up the mountain, and so she gains gravitational potential energy (because at the end, she will be at a higher height h above the ground). then she goes bungee jumping: as she falls, this gravitational potential energy is converted into kinetic energy (because her speed increases as she falls down), until the point when the rope stretches, and she stops moving. at that moment, all the kinetic energy is converted into elastic potential energy due to the stretching of the rope. then, this energy is released because the rope returns to its natural length, and emma gains a small increase in altitude , so she gains some gravitational potential energy.