An airplane is flying north. It makes a gradual 180° turn (at any instant, the turning angle is less than 90°) at constant speed of 496.2 km/h, changing its direction of travel from north through east to south in 35.6 s. The centripetal acceleration of the plane for this turn in m/s2 is: Answer:
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- A ball swings in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9° past the lowest point on its way up, its total acceleration (-22.5i + 20m2j)m/s^2. At that instant, (a) sketch a vector diagram showing the components of its acceleration, (b) determine the magnitude of its radial acceleration, and (c) determine the speed and velocity of the ball. Assume that motion is uniform.A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in the figure below. The length of the arc ABC is 257 m, and the car completes the turn in 39.0 s. 35.0° (a) Determine the car's speed. m/s (b) What is the magnitude and direction of the acceleration when the car is at point B? magnitude |m/s² direction ° counterclockwise from the +x-axisTwo blocks are released from rest on either side of a frictionless half-pipe (see the Figure below). Block B is less massive than block A. The height HB from which block B is released is less than HA, the height from which block A is released. The blocks collide elastically on the flat section. HA B HB 1) After the collision, which is correct? Block A rises to a height greater than HA and block B rises to a height less than HB. Block A rises to a height less than HA and block B rises to a height greater than HB. Block A rises to height HA and block B rises to height HB. Block A rises to height HB and block B rises to height HA. The heights to which the blocks rise depends on where along the flat section they collide. Submit
- A runner taking part in the 200 m dash must run around the end of a track that has a circular arc with a radius of curvature of 40 m. The runner starts the race at a constant speed. If she completes the 200 m dash in 22.2 s and runs at constant speed throughout the race, what is the magnitude of her centripetal acceleration (in m/s2) as she runs the curved portion of the track? m/s?In a circular motion, if an object has a speed of 34.8m/s, and radius of the circular path is 80.2 m, what is the centripetal acceleration in m/s2?A student standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a stone with velocity v0 = 17 m/s at an angle θ = 27 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position. With what speed, vf in meters per second, does the stone strike the ground?
- A particle is moving in a circle of radius R. At t = 0, it is located on the x-axis. The angle the particle makes with the positive x -axis is given by 0 = At² + Bt³ What is the magnitude of the tangential acceleration, atan of the particle at a time t > 0? Express your answer in terms of R, t, A, and B as needed. What is the magnitude of the radial acceleration, larad of the particle at a time t > 0? Express your answer in terms of R, t, A, and B as needed.In a circular motion, if an object has a speed of 35.5m/s, and radius of the circular path is 45.2 m, what is the centripetal acceleration in m/s?An object rolls off a tabletop with a horizontal velocity v0x = 18 m/s. The table is at a height y0 = 0.75 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath the object’s trajectory, and its vertical y-axis pointing up. How long, in seconds, is the object falling before it hits the floor?
- A woman rides a carnival Ferris wheel at radius 22 m, completing 4.1 turns about its horizontal axis every minute. What are (a) the period of the motion, and the magnitude of her centripetal acceleration at (b) the highest point and (c) the lowest point?A runner taking part in the 200 m dash must run around the end of a track that has a circular arc with a radius of curvature of 35 m. The runner starts the race at a constant speed. If she completes the 200 m dash in 22.6 s and runs at constant speed throughout the race, what is the magnitude of her centripetal acceleration (in m/s2) as she runs the curved portion of the track?A Ferris wheel with a radius of 24.0 m is turning about a horizontal axis through its center as shown in the figure. The speed of a passenger on the rim is constant and equal to 6.00 m/. What is the magnitude and direction of the passenger's acceleration as she passes through the (a) lowest point in her circular motion and by the highest point in her circular motion? (c) How much time does it take the Ferris wheel to make one revolution? (d) Include a diagram of the passenger on the Ferris wheel at both locations and clearly indicate both the velocity and acceleration vectors of the passenger in the diagram