edugenwileyplus.com Sal WileyPLUS Q Search Do Halliday, Fundamentals of Physics,

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edugenwileyplus.com Sal WileyPLUS Q Search Do Halliday, Fundamentals of Physics, 10e PHYS PRI OF NANO SCIENCE 1 (NENG126 actice Gradebook ORION Downloadable eTextbook gnment MESSAGE MY INSTRUCTOR FULL SCREEN PRINTER VERSION BACK NEXT Chapter 11, Problem 014 Your answer is partially correct. Try again. In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls smoothly along a horizontal path, up along a ramp, and onto a plateau. Then it leaves the plateau horizontally to land on a game board, at a horizontal distance d from the right edge of the plateau. The vertical heights are h 4.0 cm and h2 1.00 cm. With what speed must the ball be shot at point P for it to land at d-5.0 cm? Ball 2.009000013 Study o- the tolerance is +/-2%

Explanation / Answer

d = 0.05 m

after leaving the ramp,

v0y = 0 and y = 0 -h2 = -0.01 m

Applying y = v0y t + ay t^2 / 2

0.01 = 0 + 9.81 t^2 /2

t = 0.045 sec

d = v t

v = 1.11 m/s

Now Applying energy conservation,

PEi + KEi = PEf + KEf

0 + m v0^2 /2 + I w0^2 /2 = m g h1 + m v^2 /2 + I w^2 / 2

m v0^2 / 2 + (2 m r^2 / 5)(v0 / r)^2 / 2 = m g h2 + m v^2 /2 + (2 m r^2 / 5) (v/r)^2 /2

v0^2 /2 + v0^2 / 5 = g h1 + v^2 /2 + v^2 / 5

7 v0^2 / 10 = (9.81 x 0.04) + 7 x 1.11^2 / 10

v0 = 1.34 m/s

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