Hi I need answers to these questions: 1. George pulls a 300 kg sleigh horizontally 5 km at a constant velocity of 1.5 m/s. The coefficient of friction is 0.100. If 1 kcal = 4 184 J and 1 Timbit = 70 kcal and Minnie is 25% efficient then determine how many Timbits George burns off if George pulls at an angle of A) forward 10o up, B) forward or flat or 0o, C) forwards 10o down. (Answer George : A) Woutput = 1 445 000 J, UfoodInput = 19.7 timbits, B) Woutput = 1 470 000 J, UfoodInput = 20.1 timbits, C) Woutput = 1 496 000 J, UfoodInput = 20.4 timbits) 2. Jesica and Rose uses 5 kg of coal to accelerate a 20 tonne train engine from rest with an engine efficiency of 10%. If 1 kg of coal can provide 35 MJ of thermal energy then determine the final velocity of the train if we ignore air friction. If we did factor in air friction would the train end up faster or slower than our nave answer? (Answer: Jesica and Rose: vf = 41.83 m/s or 151 km/h (obviously ignoring drag is unrealistic), slower if we factor in drag) 3. Ronne and Bob use a cylindrical spring launcher to launch a 150 g baseball at a 45o angle above the horizontal. The spring is compressed 50 cm with a stiffness of 1 113.63 N/m and the ball exits the launcher at a height of 1.8536 m. Friction and changes in gravitational energy are essentially negligible inside the spring launcher only stealing 3.9287 J of kinetic energy. A) Determine the muzzle velocity of the baseball. B) How far away the baseball will land from the launcher? (Answer: Ronne and Bob : Uei + Ugi = Kf + Ugf +Q, hf = hi + x Sin , Vglaunch = 42 m/s, d = 181 m) 4. Monicka Cloni has a mass of 25 kg, is initially moving at 5.00 m/s as he leaps off a 19.6 m high building. A) Ignore air friction and determine his impact speed when he reaches the water. B) Determine the impact velocity if air friction generates 100 J of heat. (Answer: - Monicka Cloni : Ei = Ef + Q, A) vf = 20.2 m/s, B) vf = 20.0 m/s) 5. Sony Nicole, John, Henry, and Paul have a combined mass of 100 kg. They initially are on a diving board which is 4.9 m high on a diving board of stiffness 1 250 N/m which has been bent 150 cm. They experience an average of 0.25 g's of drag during the displacement downwards to the water below. Determine their impact velocity. (Answer: Sony Nicole, John, Henry, and Paul Ei = Ef + Q, and Q = Wdrag = Fdrag d, vf = 10.0 m/s) 6. Rock's Foly drops a 20.0 kg cannon ball from a height of 10.0 m with an initial speed of 4 m/s [Down]. It lands on a spring which is 100 cm long and has a stiffness of 7 363.6 N/m. If the system is 90% efficient then determine how much the spring compresses to stop the cannonball. (Answer: Rock's Foly : Ei = Ef + Q & 1 m = xf + hf, quadratic, xf = 70.9 cm (correct or -65.5 cm (inadmissible) 7. Lorrie Hans throws a 0.624 kg basketball upwards from a height of 1.0 m with an initial speed of 10 m/s. Assume the process is 95.0% efficient due to air friction. Use conservation of energy to determine the speed of the basketball when it reaches a height of 3 m. (Answer: Lorrie Hans : Ei = Ef + Q, vf = 7.44 m/s) 8. Reydeds Voly is atop a 50 m high roller coaster hill with negligible speed. He comes down the hill and enters a loop-de-loop of radius 10 m which starts at a height of 5 m. Due to drag he enters the loop with only 80% of his total mechanical energy and when he reaches the top of the loop he only has 70% of his total mechanical energy. Is this coaster safe? Find the speed at the bottom and top of the loop and then determine the g-forces using the formula derived in AS03 for loop-de-loop problems. Remember 10g's will cause a fighter pilot in a g-suit to pass out. One second at 6 g's is the limit for amusement park rides. (Answer:Reydeds Voly : Ei hilltop = Ef bottom or top of hill + Q 80% or 70% of Ei & N = mg (rv2/g 1) vbottom = 26.19 m/s and acbottom = 68.6 m/s2 or 7g's and feels 8g's vTop= 14 m/s and acTop = 9.8 m/s2 or 2g's and feels of 1g) Important Note: It is unacceptable that the results of the answers be exploited by pasting them into equations (steps will be confirmed step by step) Resources : Work-Energy-Mechanical Energy-Kinetic Energy -Elastic Energy- Gravitational Energy-(Total Mechanical Energy)-Elastic/Spring Energy )