Consider a skater moving in uniform circular motion. Draw two labelled FBDS for the skater: a) viewed from the top; b) viewed from the side. Upload these diagrams for your response. Be sure to indicate the centre of the circle in both of your diagrams with an 'X.
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Q: HI, Please see attached question. Thank you
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- A softball pitcher is throwing a pitch. At the instant shown, the ball is movingin a circular arc at a steady speed. At this instant, the acceleration isA. Directed up.B. Directed down.C. Directed left.D. Directed right.E. Zero.Show, using graphical vector addition, that the acceleration vector for an object in uniform circular motion points toward the center of the circular path. Use the factthat acceleration in two or more dimensions is defined asAn engineer designs a roller coaster so that a car travels horizontally for 182 ft, then climbs 117 ft at an angle of 32.0° above the horizontal. It then moves 117 ft at an angle of 48.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) Magnitude = ? Direction = 356.5 degrees counterclockwise from the + x-axis
- You fly 32.0 km in a straight line in still air in the direction 35.0 south of west. (a) Find the distances you would have to fly due south and then due west to arrive at the same point. (b) Find the distances you would have to fly first in a direction 45.0south of west and then in a direction 45.0 west of north. Note these are the components of the displacement along a different set of axes-namely, the one rotated by 45 with respect to the axes in (a).A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?An elephant is located on Earth’s surface at a latitude . Calculate the centripetal acceleration of the elephant resulting from the rotation of Earth around is polar axis. Express your answer in terms of , the radius REof Earth and time T for one rotation of Earth. Compare your answer with g for =40 .
- Starting at the island of Moi in an unknown archipelago, a fishing boat makes a round trip with two stops at the islands of Noi and Poi. It sails from Moi for 4.76 nautical miles (nmi) in a direction 37 north of east to Noi. From Noi, it sails 69 west of north to Poi. On its return leg from Poi, it sails 28 east of south. What distance does the boat sail between Noi and Poi? What distance does it sail between Moi and Poi? Express your answer both in nautical miles and in kilometei. Note: 1 nmi = 1852m.between points in a plane do not change when a coordinate system is rotated In other words, the magnitude of a vector Is invariant under rotations of the coordinate system. Suppose a coordinate system S is rotated about its origin by angle to become a new coordinate system S’, as shown in the following figure. A point in a plane has coordinates (x,y)in S and coordinates (x,y) in S’. (a) Show that, during the transformation of rotation, the coordinates in S are expressed in terms of the coordinates in S by the following relations: {x=xcos+ysiny=xsin+ycos (b) Show that the distance of point Pto the origin is invariant under rotations of the coordinate system. Here, you have to show that x2+y2=x2+y2. (c) Show that the distance between points Pand Q is invariant under rotations of the coordinate system. Here, you have to show that ( xP =xQ )2+( yP yQ )2=( xP =xQ )2+( yP yQ )2 .As shown in Figure 1 of the ski ramp, you need to make sure that theskier lands safe once they jump from the ski ramp. Given that ramp A has an angle(theta)A = 25° with the horizontal. Calculate the time taken, t for the skier to jump from point A to point B.
- Suppose you first walk 12.5 m in a direction 20° west of north and then 25.5 m in a direction 40° south of west as shown in the figure. What is the component of your displacement in the y-direction, in meters? What is the angle of a line connecting your starting position to your final position, measured South of West, in degrees?Please help with both 3 and 4 of this kinematics of circular motion.Help. What is the vertical velocity Vy (both magnitude and direction ) of the ball at Point C and how do you know ?