A steel wire is attached to two supports. The supports are attached to a ceiling. Initially, there is no tension in the wire when it is horizontal. A 96-N picture is then hung from the middle of the wire, as the drawing illustrates, so the ends of the wire make angles of 26 degrees with respect to the horizontal. What is the radius of the wire ? Assume that the wire has a circular cross section. (Young's modulus for steel is 2.0 * 10 ^ 11 * N / (m ^ 2) .)

Jasmine is diving off a 3-meter springboard. her height in meters above the water when she is x meters horizontally from the end of the board is approximated by the equation h=-x^2+3x+3. what is the maximum height jasmine will reach on her dive?

Astudent is performing an experiment comparing sound and light waves. the student gathers the following data. what conclusion does the student most likely make based on this data? light waves always travel the same speed; however, the speed of sound is determined by the medium that it travels through. all sound waves always have the same energy, so the temperature of the medium does not affect wave speed. light needs to vibrate particles, so it travels fastest in tightly packed solids, while sound does not need a medium, so it travels fastest in a gas. tightly packed particles in solids slow down the light waves; however, sound waves make particles bounce into each other, so they travel faster in solids.

Ablock having mass m slides down an inclined plane. the force of friction between the block and the inclined plane is f, the block's weight is m g, and the normal force is n. (a) draw a free – body force diagram showing the forces acting on the block. (b) write down all relevant newton’s equations for a given situation.