you stand upon the bow of the great lakes bulk carrier sailing at 12.0, kT, 25.0 degrees E of N relative to the water. In the distance a coast guard patrol plame flies at 4.0 kT, 30.0 degrees S of W relative to the water. Calculate the velocity of the plane relative to you
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- A marksman fires a practice round from A toward a target B. If the target diameter is 180 mm and the target center is at the same altitude as the end of the rifle barrel, determine the range of "shallow" launch angles for which the round will strike the target. Neglect aerodynamic drag and assume that the round is directed along the vertical centerline of the target. (Note: The word "shallow" indicates a low-flying trajectory for the round.) Answers: i 950 m/s 1270 m °≤0≤ i B OA marksman fires a practice round from A toward a target B. If the target diameter is 190 mm and the target center is at the same altitude as the end of the rifle barrel, determine the range of "shallow” launch angles for which the round will strike the target. Neglect aerodynamic drag and assume that the round is directed along the vertical centerline of the target. (Note: The word "shallow" indicates a low-flying trajectory for the round.) Answers: A 900 m/s 0.4575 Ꮎ 1320 m °≤0≤ 0.4576 B OWe wish to send a satellite from earth, which is 1.50x10" m from the center of the sun, to the surface of the sun which has a radius of 7.0x10' m. Pretend that the satellite is impervious to the extreme heat of the sun. (a) What is the length of the semi-major axis of an ellipse that (1) intercepts both the center of the earth and a point on the sun opposite to the earth and that (2) has one of its foci at the center of the sun? (b) What is the orbital period of an object that is following the ellipse described in (a)? (c) When the satellite reaches the back of the sun, what amount of time has passed since the satellite began its journey in the above stated elliptical orbit?
- A plane departs from Toronto and heads to Ottawa travelling at 529.9 km/h [N33.67°E, relative to the ground]. If the plane experiences a jet stream of 177.9 km/h [W, relative to the ground] during the trip, calculate the velocity of the plane with respect to the jet stream.The aurora is caused by electrons and protons from the sun that get captured by the earth's magnetic field and spiral into its atmosphere along the direction of the earth's magnetic field. The typical speed of captured electrons is about 0.003c (0.003 times the speed of light), and the typical speed for captured protons is about 20 times smaller. What are the maximum radii of the circular component of these particles' motion around the field direction? What are their orbital frequencies?What is the smallest value of B that can be set up at the equator to permit a proton of speed 10 m/s to circulate around the earth? (R = 6.4× 106 m, m = 1.67 × 10² kg).
- o Due to historical difficulty in delivering supplies by plane, one of your colleagues has suggested you develop a catapult for slinging supplies to affected areas, similar to the electromagnetic lift catapults used to launch planes from aircraft carriers. This catapult is located at a fixed point 400 meters away and 50 meters below the target site. The catapult is capable of launching the payload at 67 meters per second and an initial launch angle of 50 degrees. Using your knowledge of kinematics equations, determine whether this would be sufficient to deliver the payload to the drop site. 5. Once you have completed your adjusted diagrams and equations, describe the effects of changing variables on kinematic equations. These descriptions should reflect the different motions and considerations made for the modifications you considered in the previous step. In your descriptions, be sure to address the following: o How did the changing variables affect the vertical and horizontal motion…In hydrogen atom the electron rotates around the nucleus by a constant speed 2.5 x radius 5.29 x 10-11 m. What is the centripetal acceleration ac, and the period T? 106 m/s in a circular orbit with a. = 4.73 x 10l6 m/s2 and T = 1.33 × 10-16 s ac = 1.18 x 1023 m/s- and T= 3.52 x 10-16s O ac = 1.18 x 1023 m/s2 and T = 1.33 x 10-165O ac = 4.73 x 106 m/s- and T= 3.52 x 10-16s O