A woman with mass m is standing on a platform and holding onto a light rope attached to a hook in the ceiling. A second rope, also attached to the hook, is being held by a man with larger mass M on a second platform. The ropes are the same length, and the ropes are initially horizontal. The two people start from rest and swing toward each other. They meet at the lowest point of their swings, and grab onto one another, swinging upward until the ropes make an angle of 28.9° with the vertical. Find the value of the ratio m M .

Zirconium has an hcp crystal structure and a density of 6.51 g/cm3. (a) what is the volume of its unit cell in m3? (b) if the c/a ratio is 1.593, compute the values of c and a.

Suppose a wire with a current is pushed upward by a magnetic field. how would the wire move if the direction of the current reversed? explain your answer.

Place several e-field sensors at a few points on different equipotential lines, and look at the relationship between the electric field and the equipotential lines. which statement is true? 1-at any point, the electric field is perpendicular to the equipotential line at that point, and it is directed toward lines of higher voltages. 2-at any point, the electric field is perpendicular to the equipotential line at that point, and it is directed toward lines of lower voltages. 3-at any point, the electric field is parallel to the equipotential line at that point.