A 30 kg object is dropped from 30 meters high. a) How much potential energy does it initially have? b) How much kinetic energy does it initially have? c) How much total mechanical energy does it have at some arbitrary time later? d) What is the maximum velocity as the object falls? e) At what height does the object have 2/3 of this maximum velocity?
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- A small box with a mass of 0.05 kg is placed against a compressed spring that has K = 150 N/m. The box is on a frictionless surface inclined at 40 degrees. When the spring is released, the box travels a distance of 1.8m up the incline. a) What distance was the spring originally compressed? b) What was the kinetic energy of the box when it was 0.80m from its initial position? c) What was the velocity of the box at 0.80m from its initial position?A car is moving at 10 m/s. a) How fast would the car need to go to double its kinetic energy? b) By what factor does the car’s kinetic energy increase if its speed is doubled to 20 m/s?2
- The energy needed to increase the speed of a certain car from 22 m/s to 54 m/s is 2900 kJ. A) What is the mass of the car? B) At what speed is the cars kinetic energy equal to 1500 kJ? C) The car is driven up pikes Peak, an elevation gain of 5500 feet from the base. What is the change of potential energy of the car? give the answer in Joules. A 1.5 kg ball is thrown upward with a velocity of 6 m/s. a). What is the kinetic energy of the ball as it is thrown upward? b). What is the gravitational potential energy of the ball when it reaches its highest point? c). To what height above the thrower’s hand will the ball rise? (for c only, round answer to nearest hundredth).Problem 2 #A A 79 kg olympic diver jumps from a 27 meter diving board A. lick to add speaker notes What is the initial potential energy of the diver? 79 x 9.8 x 27=20,903.4 B. What is its final kinetic energy before she hits the water? C. What is the velocity of the diver as she hits the water?
- 1. A roller-coaster car with a mass of 1200 kg starts at rest from a point 20 m above the ground. At point B, it is 9 m above the ground. [Express your answers in kilojoules (kJ).] a. What is the initial potential energy of the car? b. What is the potential energy at point B? c. If the initial kinetic energy was zero and the work done against friction between the starting point and point B is 40 000 J (40 kJ), what is the kinetic energy of the car at point B 2. The time required for one complete cycle of a mass oscillating at the end of a spring is 0.80 s. What is the frequency of oscillation?A 0.2 kg ball is resting on edge of the top of a 1 m height table. Does the ball have kinetic energy? Explain. Does the ball have potential energy? What is the value of its potential energy? If the ball falls off the table, what happens to its potential energy and kinetic energy during this falling? Which increases/decreases?Q 3. Three cars are traveling at 30km/h, 50km/h and 200km/h, respectively. Each speed corresponds to a certain kinetic energy. a) Note down the expression for the kinetic energy of a moving object with a velocity v. b) Note down the potential energy for an object lifted up from the ground to height h. c) Based on a) and b) find an expression for the height as a function of velocity by assuming that the kinetic energy equals the potential energy of the same object. In other words find h(v) from which the object would need to be dropped and calculate the height so it has a speed of 30 km/h, 50 km/h or 200 km/h on impact with the ground. Assume free fall without air resistance d) Comment on your chances of survival if you are involved in head-on collisions for the three different speeds.
- 3.) A public bus (with mass 2500 kg) is traveling along H1 highway at a speed of 3 m/s. Suddenly the bus- driver jams on the brakes and the bus comes to a complete stop. a) How much kinetic energy does the bus have initially? b) How much kinetic energy does the bus have when it comes to a complete stop? c) If the brakes exert a force of 1000 N, how much braking distance does the car need to come to a complete stop? d) If the car was traveling at double the speed (6 m/s), how much braking distance would be required?150 kg object is at a height of 12 m. A.) How many joules of kinetic energy does it gain when it falls to the ground? B.) Using concepts of energy, find the speed of the object in meters per second just before it hits the ground.