PLEASE ANSWER PART C PART A A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x<0 and by y = -(x^2)/d for x>0. The value of d is 4.16 m, and x and y are measured in meters as usual. Suppose the block starts from rest on the track, at x = -2.7 m. What will the blocks speed be when it reaches x = 0? 8.79 m/s 5.86 m/s 4.14 m/s 2.90 m/s Part B Same type of track as in the previous problem, this time with d = 3.07 m. The block starts at x = 0, and is given a push to the left with an initial speed of 2.76 m/s, so it starts sliding up the track to the left. At what value of x will the block reverse direction and start sliding back down? -0.39 m -1.09 m 1.09 m 0.39 m part C OK, same sort of track, but now with d = 4.35 m. Now suppose the blocks starts on the track at x = 2.66 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case? 4.00 m/s 4.83 m/s 5.30 m/s 5.65 /s PART D Here we go again this time, d = 2.19 m. Suppose the block starts on the track at x = 0. What minimum initial velocity (moving to the right) must the block have such that it will leave the track at x = 0 and go into freefall? 4.63 m/s 8.94 m/s 5.43 m/s 6.55 /s PART E Last time now, with d = 3.73 m. You start the block on the track at rest, somewhere to the left of x = 0. You then release the block from rest and let it slide down. What is the maximum value of x (that is, what is the closest to the origin) from which you can release the block from rest and have it leave the track at x = 0 and go into freefall? -2.55 m -2.32 m -1.87 m -1.32 m
PLEASE ANSWER PART C
PART A A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x<0 and by y = -(x^2)/d for x>0. The value of d is 4.16 m, and x and y are measured in meters as usual. Suppose the block starts from rest on the track, at x = -2.7 m. What will the blocks speed be when it reaches x = 0?
8.79 m/s |
||
5.86 m/s |
||
4.14 m/s |
||
2.90 m/s |
Part B Same type of track as in the previous problem, this time with d = 3.07 m. The block starts at x = 0, and is given a push to the left with an initial speed of 2.76 m/s, so it starts sliding up the track to the left. At what value of x will the block reverse direction and start sliding back down?
-0.39 m |
||
-1.09 m |
||
1.09 m |
||
0.39 m |
part C OK, same sort of track, but now with d = 4.35 m. Now suppose the blocks starts on the track at x = 2.66 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case?
4.00 m/s |
||
4.83 m/s |
||
5.30 m/s |
||
5.65 /s |
PART D Here we go again this time, d = 2.19 m. Suppose the block starts on the track at x = 0. What minimum initial velocity (moving to the right) must the block have such that it will leave the track at x = 0 and go into freefall?
4.63 m/s |
||
8.94 m/s |
||
5.43 m/s |
||
6.55 /s |
PART E Last time now, with d = 3.73 m. You start the block on the track at rest, somewhere to the left of x = 0. You then release the block from rest and let it slide down. What is the maximum value of x (that is, what is the closest to the origin) from which you can release the block from rest and have it leave the track at x = 0 and go into freefall?
-2.55 m |
||
-2.32 m |
||
-1.87 m |
||
-1.32 m |
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