As a rock slides from A to B along the inside of this frictionless hemispherical bowl, mechanical energy is conserved. Why prove this? (Ignore air resistance.). A- B A. The bowl is hemispherical. B. The normal force is balanced by centrifugal force. C. The normal force is balanced by centripetal force.
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- 3. A 2100 kg car starts from rest at the top of a driveway that is sloped at an angle of 20° with the horizontal. The car loses 20 kJ of mechanical energy due to friction as it rolls down the driveway. If the car's speed at the bottom of the driveway is 4.2 m/s, what is the length of the driveway?A basketball is rolling down a hill. When you start watching it, it has a total energy of -11 Joules. When it reaches the bottom of the hill, it has a vertical position of -6 meters. If the basketball weighs 0.6 kg, what is the kinetic energy in units of Joules of the basketball when it reaches the bottom of the hill? Assume the system is closed and the effects of friction are negligible. Recall that g = 10m4. A trapeze artist, starting from rest, swings freely on a trapeze of length 5.2 m. If the initial angle of the trapeze is 47°, use the law of conservation of energy to find the trapeze artist's speed at the bottom of the swing. (5.7 m/s) efu Ptic to
- Q10 The planet Saturn has a mass of 5.70 x 1026 kg and a diameter of 139820 km. A satellite in orbit around Saturn has a mass of 400 kg and is in orbit 1600 km above the surface of the planet. What is the gravitational potential energy of the satellite? (A) -1.98 x 10'l J (C) -2.13 x 10l J (B) -2.07 x 10!" j (D) 2.13 x 10"JA 500N girl is in a tire swing that is attached to a rope 3m long and loops-the-loop. Determine the gravitational potential energy of the girl when the ropes are horizontal.3. A ball is falling and gains 20 J of kinetic energy. If air drag is also considered, does the ball-Earth system lose more than, less than, or equal to 20 J of potential energy? Explain using physical reasoning.
- 9. What is the coefficient of friction between the surfaces if the boy in the above question now pulls the wagon at constant speed up an inclined plane of 5° with a force of 60 N? Assume the force is applied parallel to the surface. If the applied force is again doubled, what is the final speed of the wagon after travelling 10 m under the same condition?9. A train glides along the track without the assistance of any motor and with a negligible amount of friction. A work-energy bar chart shows the energy of the train-Earth system at moments one and two. Eki Egl Wext Ek2 Egz 0 y=0 (a) Draw the position of the rollercoaster on the track at moments one and two. Label each moment. (Note, there are many possible answer (b) Explain how you chose the positions at those moments in time by referring to details in the bar chart.I need the answer as soon as possible
- 5. All the ramps below are 5 meters high. We know that the KE of the block at the bottom of each ramp will be equal to the loss of PE (conservation of energy). Find the speed of the block at ground level in each case. [Hint: Do you recall from earlier chapters how much time it takes something to fall a vertical distance of 5 m from a position of rest (assume = g 10 m/s²)? And how much speed a falling object acquires in this time?] This gives you the answer to Case 1. Discuss with your classmates how energy conservation provides the answers to Cases 2 and 3. 5m Case 1 Speed: = m/s Case 2 Speed = m/s Case 3 Speed m/s4. A roller coaster car with its three passengers (a total of 450. kg) is pulled up to the top of a 30.0 meter hill where it is released at a speed of 1.00 meter per second to begin its hurtle down the track toward a 15.0 meter diameter loop the loop at the bottom. Unfortunately the maintenance crew still has some work to do on the old rusty roller coaster track and the average frictional force on the 65.0 meter long angled descent is 595 N. Luckily the loop the loop portion of the roller coaster track has been recently polished and Teflon coated to reduce friction to practically nothing. What will be the speed of the car at the top of the loop the loop, and will this be enough to have the car stay on the track all the way round the loop?THANK YOU