Please answer the following seven questions fully and correctly. Show your work.

1. A minute hand of a clock has a length of 20 cm. What is its radial acceleration? (a) 2.20 x 101 m/s2 (b) 2.20 x 10-3 m/s2 (c) 6.09 x 10-7m/s2 (d) 2.20 x 107 m/s2 2. Future space stations will create an artificial gravity by rotating. Consider a cylindrical space station of 450. m diameter rotating about its axis. Astronauts walk on the inside surface of the space station. What rotation period will provide normal gravity? (3) 288 s (b) 30.1 s (c) 9.81 s (d) 42.6 s (e) 66.4 s 3. If two tiny identical spheres attract each other with a force of 3.0 nN when they are 25 cm apart, what is the mass of each sphere? (a) 11.23 kg (b) 5.3 kg (c) 1.7 kg (d) Not possible to determine 4. A traveler pulls on a suitcase strap at an angle 36 above the horizontal. If 555 J of work are done by the strap while moving the suitcase a horizontal distance of 15 m, what is the tension in the strap? (a) 46 N (b) 37 N (c) 52 N (d) 56 N 5. The "Giant Swing" at a county fair consists of a vertical central shaft with a number of horizontal arms attached at its upper and (see Figure below). Each arm supports a seat suspended from a 5.00 m long rod, the upper end of which is fastened to the arm at a point 3.00 m from the central shaft. (a) Make a free-body diagram ofthe seat, including the person in it. (1 mark) (h) Find the time of one revolution of the swing if the rod supporting the seat makes an angle of 30.0\" with the vertical. (3 marks) 6. How many kilometers would you have to go above the surface of the ea rth for your weight to decrease to half of what it was at the surface? Radius of the earth is 5. 38 X 105m. (3 marks) 7. The driver of an 1800 kg car (including passengers) traveling at 23.0 m/s slams on the brakes, locking the wheels on the dry pavement. The coefficient of kinetic friction between rubber and dry concrete is typically 0.700. (a) Use the workenergy theorem to calculate how far the car will travel before stopping. (3 marks) (b) How far would the car travel if it were going twice as fast? (1 mark) (c) What happened to the car's original kinetic energy? (1 mark)