An airplane is supposed to fly with a velocity vector of \( \langle 160,-120\rangle \), but a steady wind has a velocity vector of \( \langle 40,40\rangle \). How much does the wind speed affect the plane's intended velocity vector?

(23. In Young's double slit experiment, total 63 fringes are seen in visible region for sodium light of wavelength \( 5893 \AA \). If violet light of wavelength \( 4358 \AA \) is used in place of sodium light, then total number of fringes seen will be \( n \). Find \( n \).

3. Solve the problem analytically, deriving any necessary formulas not provided in the textbook. Ensure all steps and reasoning are clearly shown. 4. \( \mathrm{g}=9.8 \mathrm{~m} / \mathrm{s} 2 \) A 0.0450 kg golf ball initially at rest is given a speed of \( 24.9 \mathrm{~m} / \mathrm{s} \) when a club strikes it. If the club and ball are in contact for 2.40 ms , what average force acts on the ball? Is the effect of the ball's weight during the time of contact significant? Why or why not?

1. Draw the relevant diagrams clearly, ensuring all key elements are labeled. 2. Define and label the coordinate axes, and establish the position of the origin. 3. Solve the problem analytically, deriving any necessary formulas not provided in the textbook. Ensure all steps and reasoning are clearly shown. 4. \( \mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^{2} \) Exercise \( 1: \) Momentum and Impulse ( 20 points) A. A 0.0450 kg golf ball initially at rest is given a speed of \( 24.9 \mathrm{~m} / \mathrm{s} \) when a club strikes it. If the club and ball are in contact for 2.40 ms , what average force acts on the ball? Is the effect of the ball's weight during the time of contact significant? Why or why not?

7. Die grosse Rolltreppe im Einkaufszentrum ist 28.8 m lang und bewegt sIch mit \( 1.6 \mathrm{~m} / \mathrm{s} \). Maria rennt aber lieber mit \( 2.4 \mathrm{~m} / \mathrm{s} \) die Treppe hoch, die parallel dazu verläuft. Ihr Bruder Remo nimmt die Rolltreppe. a) Wie viele Sekunden Vorsprung muss sie Remo lassen, damit sie gleichzeitig oben ankommen? b) Wie schnell wäre sie oben, wenn sie die Rolltreppe hochrennen würde?

35.Паррандаи калонтарин дар чахон шутурмурғи африкоист. Массаи вай ба 90 кг мерасад. Вазни шутурмурғро муайян кунед. А) 700 H ; Б) 800 H ; В) 900 H ; Г) 1000 H ; Д) 1100 H ;