2. What is the maximum value for gravitational potential energy that an object can posses? (In reality it only approaches this value.)
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- At a particular point in orbit a satellite in an elliptical orbit has a gravitational PE of 6000 MJ with respect to Earth's surface and a KE of 5000 MJ. Later in its orbit, the satellite 's PE is 7000 MJ. What is its KE at that point? Explain.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"Jq5
- 7. The work done by gravity in lowering a 3.0 [kg] box from an initial height to the ground is 15 [J]. What is the gravitational potential energy at its initial position if the potential energy at the ground is zero? A. zero B. -15.0 [J] C. +15.0 [J] D. +30.0 [J]15. A 550-kg satellite projected upward from Earth's surface reaches a maximum height of 6000 km. Find a) its change in gravitational potential energy. b) its initial kinetic energy.5-A 25.0 N object is held 2.10 m above the ground. What is the potential energy of the object with respect to the ground?
- 18. What is the gravitational potential energy of a 70 kg person standing on the roof of a 12-story building relative to (a) the tenth floor, (b) the sixth floor, (c) the first floor? (Each story is 2.80 m high.)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?13. You learned in Science that Energy is conserved, that Potential Energy must balance Kinetic energy. Mathematically, that means: 1 mgh =-mv², where mgh is Potential %3D Energy 1 and -mv² is Kinetic energy. Reminder that m is 2 mass, g is the acceleration due to gravity, h is height and v is velocity. a) Balance this equation such that the sum of Potential and Kinetic Energy is zero (hint: gravity is negative). b) Solve this equation for v; again, you only need the Algebra you've learned! (hint: don't worry about the negative at the end!) Show your work! + tv MAR 18
- 3. A 1.8 kg book has been dropped from the top of the football stadium. Its speed is 4.8 m/s when it is 2.9 meters above the ground. What is its mechanical energy?1.) A book of mass 0.55kg is lifted from the floor to a height of 3.5m at a constant velocity. Recall the definition of work. How much work is done by FLift? By Fg? By Fnet? How much gravitational PE does the book have at the top relative to the floor? 2.)If the object in Q1 is released from rest after it is lifted, what is its kinetic energy just before it hits the floor? What is its speed?