A physics book slides off a horizontal table top with a speed of1.35 m/s. It str

Question

A physics book slides off a horizontal table top with a speed of1.35 m/s. It strikes the floor in0.600 s. Ignore air resistance.(Assume the book's horizontal direction and upward are positive.) (a) Find the height of the table top above thefloor.
   ? m

(b) Find the horizontal distance from the edge of the table to thepoint where the book strikes the floor.
? m

(c) Find the horizontal and vertical components of the book'svelocity just before it reaches the floor.
   ? m/s (horizontal component)
   ? m/s (vertical component)

Find the magnitude and direction of the book's velocity just beforeit reaches the floor.
   ? m/s
   ? ° (below the horizontal) (a) Find the height of the table top above thefloor.
   ? m

(b) Find the horizontal distance from the edge of the table to thepoint where the book strikes the floor.
? m

(c) Find the horizontal and vertical components of the book'svelocity just before it reaches the floor.
   ? m/s (horizontal component)
   ? m/s (vertical component)

Find the magnitude and direction of the book's velocity just beforeit reaches the floor.
   ? m/s
   ? ° (below the horizontal)

Explanation / Answer

(a)The height of the table top above the floor h = ut + (1/2)gt2 u = 1.35 m/s,g = 9.8 m/s2 and t = 0.600s (b)The height from which the book falls can also be writtenas h = (u2 * sin2/2g) solving the above equation for we get = sin-1[(2g * h)1/2/u] (b)The horizontal distance from the edge of the table to thepoint where the book strikes the floor R = (u2 * sin(2)/g) (c)The final velocity of the book is v2 - u2 = 2gh or v = (u2 + 2gh)1/2 The horizontal and vertical components of the book's velocityjust before it reaches the floor vx = v * cos and vy = v *sin The magnitude of the book's velocity just before it reachesthe floor v = (vx2 +vy2)1/2 The direction of the book's velocity just before it reachesthe floor tan = (vy/vx) or =tan-1(vy/vx) The direction of the book's velocity just before it reachesthe floor tan = (vy/vx) or =tan-1(vy/vx)

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