BOBOXdHHHHHHp H." -Zx HHHV,(hh hd'0F @?0?l/j""BO`LwH?"BHBMP `0?AA!vj4p1H  hP4(| DSETj~,w<,w0 &v#v'vV vn`   ' ( F G b c j t ~   . > F W e {      vEa [    F G c k l r s t u v z {                                           ( * + , 4 5 6 7 < = > ? D E P Q T U a b f l r !s t u "v w z { |                                        $ # $ # $ # $ # #@ %A #B $] &^ $` # $  $ #[A ' # ( ) ( ( @ kQQZQ Physics 1150 Exam #2 October 16, 1995 Name: _______________________ Possibly useful equations: w = mg Ff FN ac = v2/r Fc = m v2/r F = G Mm / r2 G = 6.67 x 1011 Nm2/kg2 ME = 6 x 1024 kg RE = 6,500 km W = F D cos q KE = (1/2) m v2 W = D KE = KEf KEi PE = m g h = m g (yf yi) PE = G (Mm/r) PE = (1/2) k x2 p = m v Impulse = S F Dt Impulse = D p Fthrust = (Dm/Dt) u t = r F sin q S F = 0 S tcw = S tccw Xcm = S xi mi / S mi Ycm = S yi mi / S mi 1. A roller coaster is to be designed with a loop-the-loop with a radius of 10 m. How fast must the car be traveling at the top so that it will not fall off the loop? That is, what is the minimum speed the car must have at the top so that it stays on the loop? 2. A roller coaster car starts from rest at the top of a 40-m hill, accelerates to the bottom of the first valley, and theZn ascends to the crest of a 15-m hill. What is its speed at the top of this 15-m hill?3. A 15 g bullet is fired horizontally with a speed of 100 m/s into a 5.0 kg block of wood; the wooden block and bullet start to move off with speed vf. a) What is this speed vf? The block is suspended by cords so that it moves in an arc but does not rotate as we have discussed for a ballistic pendulum. b) What is the height h to which it rises?4. A uniform pole 6 m long weighs 300 N and is attached by a pivot at one end to a wall. The pole is held at an angle of 30 above the horizontal by a horizontal guy wire attached to the pole 4.0 m from the end attached to the wall. A load of 600 N hangs from the upper end of the pole. Be sure to include the weight of the pole. What is the tension in the guy wire? As always, good diagrams are important. 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