One end of a cord is fixed and a small 0.250-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 3.00 m, as shown in the figure below. When ? = 21.0°,the speed of the object is 5.00 m/s. (a) At this instant, find the magnitude of the tension in the string.  N (b) At this instant, find the tangential and radial components of acceleration. at =  m/s2 downward tangent to the circle ac =  m/s2 inward   (c) At this instant, find the total acceleration.  inward = and below the cord at =

The figure shows a conical pendulum, in which the bob (the small object at the lower end of the cord) moves in a horizontal circle at constant speed. (The cord sweeps out a cone as the bob rotates.) The bob has a mass of 0.025 kg, the string has length L = 1.2 m and negligible mass, and the bob follows a circular path of circumference 0.69 m. What are (a) the tension in the string and (b) the period of the motion? Сord L. Bob (a) Number i Units (b) Number i Units

A roller coaster loaded with passengers has a mass of 2 x 10³ kg; the radius of curvature of the track at the lowest point of the track is 24 m. If the vehicle has a tangential speed of 18 m/s at this point, what force is exerted on the vehicle by the track? O 9.33 x 10^4 N O 1.91 x 10^4 N O 5.27 x 10^4 N O 4.66 x 10^4 N

A child is holding a string with a ball tied at the end. The child spins around in a circle causing the ball to travel in uniform circular motion. While doing this, the 1.3 m long string makes a 48.8◦ angle below horizontal. What is the tangential speed of the ball?

A Ferris wheel has radius of 4.8 m and makes one revolution in 7.4 seconds. A person weighing 686 N is sitting on one of the benches attached at the rim of the wheel. What is the apparent weight (that is, the normal force exerted on her by the bench) of the person as she passes through the highest point of her motion?

A 30 kg child slides down a slide with h = 4.0 m and arrives at the ground with a speed of 6.0 m/s.  The slide forms the arc of a circle with a radius of 21 m with the ground tangent to the bottom of the slide.  Determine the average friction force acting on the child.  Hint: Use h = R(1 - cos(θ)) and s = Rθ where θ is in radians and s = arc length.

A planet orbits a star, in a year of length 4.46 x 107 s, in a nearly circular orbit of radius 2.46 x 1011 m. With respect to the star, determine (a) the angular speed of the planet, (b) the tangential speed of the planet, and (c) the magnitude of the planet's centripetal acceleration.

A 50.0-kg child stands at the rim of a merry-go-round of radius 2.90 m, rotating with an angular speed of 3.65 rad/s. (a) What is the child's centripetal acceleration? m/s2(b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? N(c) What minimum coefficient of static friction is required?Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round?

One end of a cord is fixed and a small 0.700-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 2.50 m, as shown in the figure below. When 8 = 30.0°, the speed of the object is 8.50 m/s. (a) At this instant, find the magnitude of the tension in the string. N (b) At this instant, find the tangential and radial components of acceleration. at = m/s² downward tangent to the circle m/s² inward a = (c) At this instant, find the total acceleration. inward and below the cord at (d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? O Yes O No (e) Explain your answer to part (d).

Pls answer all of it and box the answers thank you