Question

Work out #5, clearly and with units. Please and thank you!

plane of the rectangle? (b) How much angular momentum and kinetic energy does the array have if it rotates at an angular velocity of 20 rad/s? 3. Determine the minimum area of a flat ice floe (sheet) 100 cm thick if it must support a 1600-kg truck above seawater. Assume the top of the ice is level with the ocean. (Hint: what is the volume of the ice?) Pice 920 kg/m2, psen 1020 kg/m3. Sketch a diagram and label all forces. Calculate a rough approximation of the area of a truck, and compare it to your answer. 4. The fastest recorded pitch in major league baseball is 100.8 mi/hr by Nolan Ryan in 1974. If that pitch were thrown horizontally how far would the ball fall vertically by the time it reached home plate 60 feet away? (Remember your conversions, and please compute your answer completely in English units -do not use MKS units at all! This is a 2-Dimensional problem.) How high should a pitcher's mound be to compensate for this? g= 32 ft/s, 1 mi= 5280 ft. 5 A 1.0 m long string is fixed at both ends and has a linear density of 0.8 g/m. (a) What is the wavelength of the second harmonic? (b) If the second harmonic has a frequency of 400 Hz, what is the wave speed in the string? (c) What tension is needed in order for the second harmonic to have a frequency of 500 Hz? (d) What is the tension needed in order for the first harmonic (also called the fundamental) to have a frequency of 500 Hz instead? For full credit, please sketch all waves. 6. This problem involves the same block under several different situations. Read each part carefully and solve it appropriately. For simplicity, let g 10 m/s a) A 15 kg block is dropped from a height of 8 m. Using only energy considerations calculate the speed when it strikes the ground. b) If you slide the block down a smooth 53.13 incline for a distance of 10 m, what will be the speed at the bottom of the slope? c) If you slide the block down a rough 53.13 incline for a distance of 10 m and there is a frictional coefficient of 1.0, what will be the block's speed at the bottom? Please sketch this and label all forces

Answer 1

L = im U= 0.891m = 8x109Kg For second harmonic wavelength, 22 = L 82 = Im 67 f2 = 400Hz, 22 = I'm alespeed V₂ = tada V2 = 400m/ c) we have nal

harmonic For second Sa = at - EM to 500Hz, L=1m il = 8x 10+ Kg/m T= 500x (172x8x10-4 T = 4N 2004 d) First harmonic, 2L IM - Ti= 7 = 4 12 till (* (500)* ( 8x10-4)

T = soon First harmonic Second harmonic: