PART 4Here 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
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
PLEASE ANSWER PART 4
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?
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5.86 m/s |
Part 2 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?
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1.09 m |
part 3 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?
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5.65 /s |
PART 4Here 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?
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4.63 m/s |
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8.94 m/s |
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5.43 m/s |
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6.55 /s |
PART 5 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?
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-2.55 m |
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-2.32 m |
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-1.87 m |
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-1.32 m |
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