A space probe is in orbit around Mars at an altitude of 1200 km. To move to a higher orbit, small rocket engines are used to provide the energy required. (a) Compare the kinetic energy of the space probe in the lower and higher orbit. (b) Explain why energy is required to move the space probe from a lower to a higher orbit. In your answer refer to the total energy of the satellite.
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A space probe is in orbit around Mars at an altitude of 1200 km. To move to a higher orbit, small rocket engines are used to provide the energy required.
(a) Compare the kinetic energy of the space probe in the lower and higher orbit.
(b) Explain why energy is required to move the space probe from a lower to a higher orbit. In your answer refer to the total energy of the satellite.
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- A 3 kg history textbook is placed on a 2 m high desk. How large is the gravitational potential energy of the textbook relative to the floor?A 977-kg satellite orbits the Earth at a constant altitude of 101-km. (a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 205 km? 892.8 How is the total energy of an object in circular orbit related to the potential energy? MJ (b) What is the change in the system's kinetic energy? 178 Is the satellite moving faster or slower when it's orbit is at a higher altitude? MJ (c) What is the change in the system's potential energy? MJConsider a satellite in a circular orbit above Earth’s surface. In Chapter we will learn that the force of gravity changes only the direction of motion of a satellite in circular motion (and keeps it in a circle); it does NOT change the satellite’s speed. Work done on the satellite by the gravitational force is zero. What is your explanation?
- Tomas and Gwen were trying to measure kinetic energy of a cart two ways; they mesasured the gravitational potential energy when the cart started from rest at the top of a ramp, and they measured the kinetic energy directly when the cart reached a motion detector at the bottom of the ramp. When they did the math, however, the two answers were not the same. The gravitational potential calculation was larger than the direct measurement based on velocity. Based only on this information, which of the following may be true? (In other words, which of the following is/are in keeping with these findings?) A. Energy is not actually conserved; it dissipates over time. The central concept behind this experiment is wrong. B. Energy is being transformed into heat somewhere in this system, possibly as the cart wheel axles rotate. C. The velocity measured by the motion detector is incorrect; there is a calibration error. D. All of these may be true. E. None of these may be true.If a 1000 kg car is exiting a highway through an above-the-ground ramp of 5.0 m radius at 12 m/s, what is the potential energy?Questions 3 and 4 below refer to the universal gravitational potential energy function U(r) for a planet with mass M and radius R, which is shown in the figure below. R 3. If a projectile is launched from the surface of the planet with a speed equal to the planets escape speed, how much mechanical energy does it have when it reaches a distance r = ∞ ? (n I I I Distance from center of planet, r 4. If an astronaut who is orbiting the planet at a radius of 3R wants to move their orbit to a radius of 2R, what direction should they fire their thrusters? (and how is your answer supported by the given graph of U(r) ?)
- lo and Europa are two of Jupiter's moons. lo orbits closer to Jupiter than Europa. Assume that both moons have the same mass. Which statement is true? lo has more kinetic energy, less potential energy, and more mechanical energy (potential plus kinetic) than Europa. lo has more kinetic energy, less potential energy, and less mechanical energy (potential plus kinetic) than Europa. lo and Europa have the same amount of mechanical energy (potential plus kinetic). lo has more kinetic energy, more potential energy, and more mechanical energy (potential plus kinetic) than Europa.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"JMeteor Crater. About 50,000 years ago, a meteor crashed into the earth near present-day Flagstaff, Arizona. Measurements from 2005 estimate that this meteor had a mass of about kg (around 150,000 tons) and hit the ground at a speed of (a) How much kinetic energy did this meteor deliver to the ground? (b) How does this energy compare to the energy released by a 1.0-megaton nuclear bomb? (A megaton bomb releases the same amount of energy as a million tons of TNT, and 1.0 ton of TNT releases J of energy.
- A 4.0 kg object is raised 7 meters above the ground (on the earth). How high would the object have to be raised above the surface of the moon (g = 1.6 N/kg) to have the same amount of potential energy. Use gEhE=gMhMAssume that a man lifts 800 kg, the mass of half of the car, and a height of 0.5 m. What is the gravitational potential energy supplied by Wonder Woman when lifting the back of the car? PE= mgh= (800kg)(9.81m/s2)(0.5m)= 3,924 J Calculate the power he exerts when lifting the car over a time interval of 5 seconds. (I just need help with the second half)You are meeting your friends at a 49er football game. You start near the top of the seating area (8.9 m above the field) and walk down the steps to where your friends are sitting (3.4 m above the field). Assume that your mass is 60 kg. What is the change in your gravitational potential energy as you walk down the steps? Give your answer in J and report your answer to 1 decimal place. Make sure you include the sign if that is important for your answer.