5. A swing ride at a carnival consists of chairs that are swung in a circle by 11.5-m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 162 kg, the angle θ = 61°. Find the speed of the chair.m/s

2.

6. a. You're driving over the top of a hill with a radius of 15.075 m. How fast would you need to drive over it to just bounce off your seat as you go over the top? Previous submissions: b. How fast would you need to drive over the top for the normal force of the seat pushing up on you to be half your weight? Previous submissions:

Can I get an explanation of this problem? Or done in a different method (I don’t understand how they got a lot it) thank you!!

In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 15.0 m in diameter. It is found that the pilot blacks out when he is spun at 30.6 rpm (rev/min). At what acceleration (in SI units) does the pilot black out? acceleration: 77.01 m/s? Express this acceleration in terms of a multiple of g. acceleration as a multiple of g: 7.858 If you want to decrease the acceleration by 22.0% without changing the diameter of the circle, by what percent must you change the time for the pilot to make one circle? percent of time change:

1. A 75-kg merry go round worker stands on the ride's platform 4.5m from the center and her speed as she goes around the circle is 4.1 m/s. a) Draw a sketch of the scenario. b) Determine the force of friction necessary to keep her from falling off the platform. c) How far does she travel after 1 revolution? d) What is the period T (in seconds) after 1 revolution? Round answers to nearest tenth.

For any vector quantity, be sure to always include the magnitude and direction. ty

An adventurous archeologist (m = 85.5 kg) tries to cross a river by swinging from a vine. The vine is 11.0 m long, and his speed at the bottom of the swing is 7.50 m/s. The archeologist doesn't know that the vine has a breaking strength of 1,000 N. Does he make it safely across the river without falling in? Yes No

m L 4. A box with a mass m = 0.4 kg is released from rest at the top of a curved section of a track that is one quarter of a circle with a radius R = 0.2m. When the box reaches the bottom of the curved track it slides on a horizontal section of the track. There is no friction on the curved section of the track. a. Find the velocity of the box at the bottom of the curved section of the track. b. Find the normal force on the block when it is at the bottom of the circular section of the ramp. If there is a Resistive force F on the horizontal section of the track and is given as a function of speed by F=-4v² c. Write down the differential equation for the speed of the block. 1 d. Show that the solution can be written as: v = 0.5 + 10t

The cable lifting an elevator is wrapped around a 1.2-m-diameter cylinder that is turned by the elevator's motor. The elevator is moving upward at a speed of 1.9 m/s . It then slows to a stop, while the cylinder turns one complete revolution.How long does it take for the elevator to stop?