José is investigating the relationship between energy and the motion of an object. José releases a ball onto a U-shaped ramp and observes the motion of the ball as it rolls back and forth between sides 1 and 2. Ball U-shaped Ramp Side 1 Side 2 Which explains the total energy of the ball on the ramp? O The ball loses kinetic energy and loses potential energy when rolling downward. O The ball loses kinetic energy and gains potential energy when rolling upward.
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- You push a box up a ramp (friction between the box and the ramp is not negligible). Call the initial state when you begin to push the box. Call the final state after you have pushed the box up the ramp a distance of 0.5 m and it is moving with a speed of 2 m/s For which of the following systems does the energy remain constant?A. System: box + ramp + Earth + youB. System: boxC. System: box + ramp + EarthD. System: youE. System: box + rampF. None of the above. Two cars are driving down the road. They notice that they are going to crash, so both drivers slam on the brakes. The cars skid, but still collide. The cars stick together and eventually slide to a stop. Call the initial state just before the drivers apply the brakes and the final state just after the collision had occurred. Treat this situation as realistically as possible. For which of the following systems does the energy remain constant?A. System: both carsB. System: both cars + the groundC. System: the second carD. System:…A diver of mass 68 kg stands on a diving board 5.0 m above a pool. At the moment of the jump, the diving board transfers its 3400 J of energy to the diver, who leaves the board at an angle of 35°. a. What is the (total) speed of the diver just as they leave the diving board? b. What is the maximum height (relative to the surface of the water) of the diver? c. How long does it take for the diver to reach the surface of the water?You throw a basketball straight up into the air with an initial velocity of 5.6 m/s. The ball leaves your hand 1.2 meters above the ground. It moves upwards, stops, and then goes all the way down until it hits the ground (below the height you threw from).A. Use conservation of energy (and not the kinematics equations) to calculate the velocity of the ball the instant before it hits the ground.
- 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?When your hands are cold, you can rub them together to warm them. Explain the energy transformations that make this possible.c) Figure 1 shows a small cart of mass 5 kg moving on the frictionless track with a speed of 10 ms¹ along AB, down to C, and climbing up to D and E. Calculate: i. ii. iii. A 10 m s B 5 m 2 m Figure 1 The kinetic energy of the cart as it moves along AB. The speed of the cart at point C. The kinetic energy of the cart as it moves along DE. D E
- 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?The potential energy of an interaction is given by U(x)=ax², where a = +6.4 J/m². Initial speed of a 0.79-kg object in this system is 2.63 m/s at x = 0. A. How far does the object travel before it reaches a speed of v = 0? Express your answer with the appropriate units. B. Does your answer in the previous part depend on whether the object is traveling in the positive or negative direction? Yes, the answer in the previous part is for the object traveling in the negative x� direction, the distance for the object traveling in the positive x� direction is greater than the obtained result. Yes, the answer in the previous part is for the object traveling in the positive x� direction, the distance for the object traveling in the negative x� direction is greater than the obtained result. No, it does not depend on whether the object is traveling in the positive or negative x� direction.Suppose an elephant has a mad of 3150 kg. a. How fast, in meters per second, does the elephant need to move to have the same kinetic energy as a 65 kg sprinter running at 10.5 m/s ?