Question

6. A pole 10 m long oriented in the x direction is at rest in Mary's frame. Mary is holding the left end of the pole; therefore, the left end of the pole is always at $x'= 0$ m and the right end of the stick is always at $x'=10$ m. Mary's moves with a speed of $\frac{\sqrt{3}}{2}c$, (i.e., $\gamma = 2$) relative to Frank. A barn with a depth of 5m and doors at both ends is at rest relative to Frank. Frank is standing at the left door; therefore, the left door is always at $x=0$ and the right door is always at $x = 5$m. At time $t=0$ when Frank and Mary are together the left barn door and the left end of the pole coincide. At that same time in Frank's frame the right end of the pole ($x' = 10$ m) is inside the barn at $x = 5$ m. Call the event ($x_A=0, t_A=0$), when the left end of the pole and the left door coincide, and the event ($x_B=5, t_B= 0$) when the right end of the pole and the right door of the barn coincide in Frank's frame. Thus, the pole is completely inside the barn relative to Frank. a. Show the process of events on a Minkowski diagram. Determine: b. $x'$ and $t'$ in Mary's frame (remember $t'=0$). When Mary says the right pole and right door coincide. c. The x position of the left pole in Frank's frame when Mary says the right pole and right door coincide. d. The x position of the right pole in Frank's frame when Mary says the left pole and left door coincide. e. Sketch the pole and the barn in Mary's frame at $t'_A$ and $t'_B$ showing how Mary understands the events,

          6. A pole 10 m long oriented in the x direction is at rest in Mary's frame. Mary is holding the left end of the pole; therefore, the left end of the pole is always at $x'= 0$ m and the right end of the stick is always at $x'=10$ m. Mary's moves with a speed of $\frac{\sqrt{3}}{2}c$, (i.e., $\gamma = 2$) relative to Frank. A barn with a depth of 5m and doors at both ends is at rest relative to Frank. Frank is standing at the left door; therefore, the left door is always at $x=0$ and the right door is always at $x = 5$m. At time $t=0$ when Frank and Mary are together the left barn door and the left end of the pole coincide. At that same time in Frank's frame the right end of the pole ($x' = 10$ m) is inside the barn at $x = 5$ m. Call the event ($x_A=0, t_A=0$), when the left end of the pole and the left door coincide, and the event ($x_B=5, t_B= 0$) when the right end of the pole and the right door of the barn coincide in Frank's frame. Thus, the pole is completely inside the barn relative to Frank.
a. Show the process of events on a Minkowski diagram. Determine:
b. $x'$ and $t'$ in Mary's frame (remember $t'=0$). When Mary says the right pole and right door coincide.
c. The x position of the left pole in Frank's frame when Mary says the right pole and right door coincide.
d. The x position of the right pole in Frank's frame when Mary says the left pole and left door coincide.
e. Sketch the pole and the barn in Mary's frame at $t'_A$ and $t'_B$ showing how Mary understands the events,

6. A pole 10 m long oriented in the x direction is at rest in Mary's frame. Mary is holding the left end of the pole; therefore, the left end of the pole is always at x'= 0 m and the right end of the stick is always at x'=10 m. Mary's moves with a speed of (√(3))/(2)c, (i.e., γ = 2) relative to Frank. A barn with a depth of 5m and doors at both ends is at rest relative to Frank. Frank is standing at the left door; therefore, the left door is always at x=0 and the right door is always at x = 5m. At time t=0 when Frank and Mary are together the left barn door and the left end of the pole coincide. At that same time in Frank's frame the right end of the pole (x' = 10 m) is inside the barn at x = 5 m. Call the event (xA=0, tA=0), when the left end of the pole and the left door coincide, and the event (xB=5, tB= 0) when the right end of the pole and the right door of the barn coincide in Frank's frame. Thus, the pole is completely inside the barn relative to Frank.
a. Show the process of events on a Minkowski diagram. Determine:
b. x' and t' in Mary's frame (remember t'=0). When Mary says the right pole and right door coincide.
c. The x position of the left pole in Frank's frame when Mary says the right pole and right door coincide.
d. The x position of the right pole in Frank's frame when Mary says the left pole and left door coincide.
e. Sketch the pole and the barn in Mary's frame at t'A and t'B showing how Mary understands the events,

Added by Johnathan A.

Question

Please give Ace some feedback