Hi I have parts A, B, C completed but need help finishing parts D and E. Thank y

Question

Hi I have parts A, B, C completed but need help finishing parts D and E. Thank you.

SECTION 1 A small block slides down a frictionless track whose shape is described by y- /dfor xo and y x2/d for x>o. he value of d is B 0.3 meters, and x and y are measured in meters as usual. (a) Suppose the block starts from rest on the track, at x-c meters What will the block's speed be when it reaches x 0? Answer: m/s (b) uppose the starts on the track at x 0, and is given an initial velocity of block D. a The block then begins to slide up the track to the m/s to the left. left. At what value ofx will the block turn around and begin to slide down again? m Answer

Explanation / Answer

d )

at the time t X - coordinate of the block is = v t

At the time t , Y - coordinate of the block is = 1/2 g t2

x = vt , Y - coordinate of the platform = - 2 x2 = - 2 v2 X 2 t2   

| - 4 v2 t2 | - | 1/2 g t2 | > 0

v > ( g / 4 )1/2

v > ( 9.8 / 4 )1/2

v > 1.565 m/sec

e )

m g Y = 1/2 m v2

Y = v2 / 2 g

Y = 1.5652 / 2 X 9.8

Y = 0.13 m

x = ( Y/2 )1/2

x = 0.2549 m

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