Worksheet#08 - Physics discussion worksheet PDF

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PHYS 121 Disc. Sec. A0__

Worksheet #8

1) Suppose the speed of a car is 11.1 m/s while traveling up, over a hill with a radius of curvature of 25 m, and the mass of the car is 1200kg. Determine the (a) centripetal acceleration of the car, (b) net force acting on the car, (c) the speed where centripetal force would equal the force of gravity and (d) the apparent weight of a 54 kg person inside the car.

2) The game of tetherball is seen on playgrounds across the world. It consists of a vertical pole with a ball attached to the top via a (massless) rope. The ball has a weight of W = 4.5 N and is sent around the pole in a horizontal circular path, and the rope has a length of L = 2.0 m and makes an angle of θ = 30° with respect to the pole. (a) What is the tension in the rope? (b) With what speed does the ball circle the pole? (c) How long does it take for the ball to make one revolution?

3) A 13.8 x 103 Newton car negotiates a circular banked turn without friction. A cross section of this turn is shown, where L = 22.0 m and h = 6.80 m. The center of the turn is at the point labelled x. Calculate the (a) banking angle, θ, (b) radius of curvature, r, for this banked turn, (c) normal force on the car, (d) speed of the car, (e) time for 1 complete time around this circular track and (f) describe the direction of the car’s acceleration.

PHYS 121 Disc. Sec. A0__

Worksheet #8

4) At the Barcelona track, Formula One drivers take turn 3 at speeds up to 248 km/h, in which they undergo a centripetal acceleration of 4g. Assuming the Red Bull car has a mass of 660 kg with Max Verstappen on-board, what is the radius of turn 3? Alternatively, assuming a corner radius of 10 meters, and a coefficient of static friction of 1.7, what is the maximum speed that Verstappen can corner without flying into the barriers?

5) A proposed space station consists of a circular tube that will rotate about its center (like a tubular bicycle tire, or the spinning part of the space ship in the Martian). The circle formed by the tube has a diameter of 1.1 km. What must be the rotation speed (revolutions per day) if an effect nearly equal to the gravity at the surface of the Earth (say, 0.9 g) is to be felt?...