In the Bohr model of the hydrogen atom, an electron moves in a circular path around a proton. The speed of the electron is approximately 2.19 106 m/s. (a) Find the force acting on the electron as it revolves in a circular orbit of radius 0.527 X 10-10 m. (b) Find the centripetal acceleration of the electron. magnitude direction
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- a person riding a Ferris wheel moves through positions at (1) the top, (2) the bottom and (3) mid height. If the wheel rotates at a constant rate , rank these three positions according to (a) the magnitude of the person's centripetal acceleration, (b) the magnitude of the net centripetal force on the person and (c) the magnitude of the normal force on the person, greatest first.What is Fg, the force on the ball due to the Earth, at t=0? Your answer must be a vector with appropriate units.A 53-kg child riding a Ferris wheel (radius = 14 m) travels in a vertical circle. The wheel completes one revolution every 20 s. What is the magnitude of the force on the child by the seat (i.e. normal force) at the lowest point on the circular path?
- A 55.0 kg child takes a ride on a Ferris wheel that rotates four times each minute and has a diameter of 24.0 m. (a) What is the centripetal acceleration of the child? m/s? toward the center of the path (b) What force (magnitude and direction) does the seat exert on the child at the lowest point of the ride? magnitude direction ° (from upward) for? (c) What force does the seat exert on the child at the highest point of the ride? magnitude direction ° (from upward) (d) What force does the seat exert on the child when the child is halfway between the top and bottom? magnitude direction ° (from upward)The earth rotates once per day about an axis passing through the north and south poles, an axis that is perpendicular to the plane of the equator. Assuming the earth is a sphere with a radius of 6.38 x 106 m, determine the speed and centripetal acceleration of a person situated (a) at the equator and (b) at a latitude of 12.0 ° north of the equator.Find the centripetal accelerations at each of the following points due to the rotation of Earth about its axis. (a) a point on the Equator of Earth m/s2 (b) the North Pole m/s2 (c) What two forces combine to create these centripetal accelerations?
- A car of mass 1,425 kg travels along a circular road of radius 75.0 m at 17.0 m/s. (a) Calculate the magnitude of the car's centripetal acceleration. m/s? (b) What is the magnitude of the force of static friction acting on the car?A child is twirling a 0.0276-kg ball on a string in a horizontal circle whose radius is 0.125 m. The ball travels once around the circle in 0.596 s. (a) Determine the centripetal force acting on the ball. (b) If the speed is doubled, by what factor does the centripetal force increase?In the Bohr model of the hydrogen atom, an electron moves in a circular path around a proton. The speed of the electron is approximately 2.21 106 m/s. (a) Find the force acting on the electron as it revolves in a circular orbit of radius 0.525 ✕ 10−10 m.magnitude?(b) Find the centripetal acceleration of the electron. magnitude?
- The earth rotates once per day about an axis passing through the north and south poles, an axis that is perpendicular to the plane of the equator. Assuming the earth is a sphere with a radius of 6.38 x 106 m, determine the speed and centripetal acceleration of a person situated (a) at the equator and (b) at a latitude of 24.0° north of the equator. (a) V = ac = (b) v = ac = i i i Units Units Units Units < < ReA small 180-g ball on the end of a light string is revolving uniformly on a frictionless surface in a horizontal circle of diameter 0.80 m. The ball makes 5.0 revolutions every 2.0 s. (a) What are the magnitude and direction of the acceleration of the ball? (b) Find the tension in the string.1. A 75.0 cm diameter high-speed flywheel in an electric motor is rotating when a power failure suddenly occurs. As a result, a point on the rim of the flywheel slows down such that its tangential velocity is given by: v, = 19.5- 0.263t , where t is in s and v is in m/s. (a) What is the initial angular velocity and total acceleration vector magnitude?