Chapter 8, Problem 1Q

Rocket Science: CH 83. A rocket of mass M moving at speed v ejects an infinitesimal mass dm out its exhaust nozzle at speed vex. (a) Show that con- servation of momentum implies that M dy = vex dm, where dy is the change in the rocket's speed. (b) Integrate this equation from some initial speed v; and mass M; to a final speed vf and mass Mf Vf to show that the rocket's final velocity is given by the expression V₁ = V¡ + Vex ln(M¡/M₁).

Formant Freqmcy The horizontal dotted lines represent the formants. The first box represents the schwa sound. The second box is a different vowel. The scale is the same on each of these two vowels. Use the two formant contours to answer questions 12-16 SCHWA VOWEL 2 0.179362213 Time (s) 0.92125285 0.0299637119 4000 1079 Time(s) unknown 0.6843 13. Please describe what the tongue is doing to shift from the schwa to vowel 2? 14. Is vowel 2 a rounded or unrounded vowel? 15. Is vowel 2 a front or back vowel? 16. What vowel is vowel 2 (00, ee, ah) 0684285714

microwave

4) Consider the pulley (Mass = 20kg, Radius 0.3m) shown in the picture. Model this pulley as a uniform solid disk (1 = (1/2) MR2) that is hinged at its center of mass. If the hanging mass is 30 kg, and is released, (a) compute the angular acceleration of the pulley (b) calculate the acceleration of the hanging mass. A o 0.3 3019 20KS

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Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 161 cm , but its circumference is decreasing at a constant rate of 15.0 cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 1.00 T , which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop. Find the magnitude of the emf E induced in the loop after exactly time 9.00 s has passed since the circumference of the loop started to decrease. Find the direction of the induced current in the loop as viewed looking along the direction of the magnetic field. Please explain all steps

Make up an application physics principle problem that provides three (3) significant equations based on the concepts of capacitors and ohm's law.

A straight horizontal garden hose 38.0 m long with an interior diameter of 1.50 cm is used to deliver 20oC water at the rate of 0.590 liters/s. Assuming that Poiseuille's Law applies, estimate the pressure drop (in Pa) from one end of the hose to the other.

A rectangle measuring 30.0 cm by 40.0 cm is located inside a region of a spatially uniform magnetic field of 1.70 T , with the field perpendicular to the plane of the coil (the figure (Figure 1)). The coil is pulled out at a steady rate of 2.00 cm/s traveling perpendicular to the field lines. The region of the field ends abruptly as shown. Find the emf induced in this coil when it is all inside the field, when it is partly in the field, and when it is fully outside. Please show all steps.