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- Problem 2: A farmer is using a rope and pulley to lift a bucket of water from the bottom of a well that is h, = 14.5 m deep. The farmer uses a force F1= 49.5 N to pull the bucket of water directly upwards. The total mass of the bucket of water is m, + my = 3.5 kg.You and four of your friends are all interested in getting out of town for a break. Two of your friends just want to relax while the other two want to get some exercise. You need some quiet time to study. To satisfy everyone, the group decides to spend the day canoeing on the river. Two people will put a canoe in the river and just drift downstream with the 1.5 km/h current. The second pair will begin at the same time as the first from 10. km downstream. They will paddle upstream until the two canoes meet. Since you have been canoeing with these people before, you know that they can paddle at 4.0 km/h in still water. When the two canoes meet, they will come to shore and you should be there to meet them with the picnic lunch. You decide to go to that spot ahead of time so you can study while you wait for your friends. How far from where the drifters launched will you wait for them? After lunch you decide to paddle across the river, which is 0.50 km wide. You can paddle 3.0 km/h in…A reservoir tank that is filled of water has a hole with a diameter of 15 cm. The height of water is 85 cm and the distance of the hole from the ground is 40 cm. If the acceleration due to gravity is 9.81 m/s2, after 1 hour, how much water came out of the tank? 860.58 kg 835.65 kg 725.53 kg 787.2 kg
- Section 1.6 30. a. With what initial speed must you throw a ball vertically for it to reach a height of 20 ft? The ball weighs 1 lb. How does your answer change if the ball weighs 2 lb? b. Suppose you want to throw a steel bar vertically to a height of 20 ft. The bar weighs 2 lb. How much initial speed must the bar have to reach this height? Discuss how the length of the bar affects your answer.About 80 gram of blood is pumped from the heart during each heartbeat. The blood starts at rest and has a speed of 0.6 m/sec in the aorta. If the pumping takes 0.17 sec, what is the magnitude of the force on the blood?A boat is pulled into a dock by means of a rope attached to a pulley on the dock. The rope is attached to the front of the boat, which is 10 feet below the level of the pulley. If the rope is pulled through the pulley at a rate of 12 ft/min, at what rate will the boat be approaching the dock when 110 ft of rope is out? The boat will be approaching the dock at ft/min. Hint: Sketch a diagram of this situation.
- About 80 g of blood is pumped from the heart during each heartbeat. The blood starts at rest and has a speed of about 0.60 m/s in the aorta. If the pumping takes 0.17 s, What is the magnitude of the average force on the blood?The Hindenburg departed from Frankfurt, Germany on May 3 and was heading to Lakehurst Naval Air Station in New Jersey. As the aircraft was attempting to dock on May 6, 1937, it caught fire and crashed. The ship had a mass of 97,500 kg and held a volume of 2.00 x 105 m³ of hydrogen. What is the max load in kilograms that the Hindenburg could theoretically carry? Be sure to draw a force diagram and include all upward and downward forces. (Density of air is 1.29 kg/m³ and the density of hydrogen is 9.00 x 10-2 kg/m³ ) Upload Choose a FileA landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.35 m high, and from there it will fall into a pool (Fig. P3.42). (a) Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, which is one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.42
- The muzzle velocity of a typical 500 g spud is 25 m/s . The force given by the spud is K/(x+.09) where x is the distance of the barrel in meters. If the length of the barrel is 75 cm, what is the constant K? What is the force on the spud?During an indoor Frisbee game, a player throws the Frisbee such that it has an initial verticalvelocity of 12.3 m/s. If the ceiling clearance is 14m, will the Frisbee contact the ceiling? Assume the Frisbee is thrown at a height of 0.8m above the ground. Frisbee height=?, Height ceiling= ?A hovercraft is sitting on the shore of a river that is 1 mile wide. The hovercraft is supposedto reach a camp that is located 3 miles downstream on the other side of the river. You needto decide the fastest route in each of these two situations:a) The opposite shore is smooth, so that the crafts speed on water will be 2/3 of that onshore.b) The opposite shore is rather rough, so that the crafts speed on land is 2/3 of that on thewater.