The concept of escape velocity can be best described as: (A) The initial speed required so that an object will safely orbit the Earth. (B) The speed for an object to be launched and fly through space forever. (C) The speed necessary for a spacecraft to escape Earth's atmosphere. (D) The velocity needed to provide an initial kinetic energy such that total mechanical energy is zero.
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- If an object with a mass of 1.8 kg changes it speed from 3.15 m/s to 8.8 m/s, what is its change in kinetic energy? Assume that the answer has proper SI Units.A man of mass 80.0 kg walks down the aisle of an airplane at a speed of 1.00 m/s in the forward direction while the plane moves at a speed of 300 m/s relative to the earth. Find the man’s kinetic energy relative to (a) the plane; (b) the earth.Kepler’s laws of planetary motion can be derived from Newton’s laws of motion and Newton’s universal law of gravitation. Since gravity is a conservative force, mechanical energy is conserved throughout a planet’s orbit. a) Is the gravitational potential energy of the planet-Sun system greater at perihelion (the point of closest approach to the Sun) or aphelion (the point of farthest approach from the Sun)? b) Is the kinetic energy of the planet-Sun system greater at perihelion or aphelion? c) Is your answer consistent with Kepler’s second law of planetary motion? Justify your answers.
- A 0.23-kg stone is held 1.1 m above the top edge of a water well and then dropped into it. The well has a depth of 4.6 m. (a) Relative to the configuration with the stone at the top edge of the well, what is the gravitational potential energy of the stone-Earth system before the stone is released? (b) Relative to the configuration with the stone at the top edge of the well, what is the gravitational potential energy of the stone-Earth system when it reaches the bottom of the well? (c) What is the change in gravitational potential energy of the system from release to reaching the bottom of the well?A car accelerates from rest to 14 m/s in 5 seconds on a horizontal road under perfect conditions. If the mass of the car is 850 kg, approximately how much power must be supplied to the wheels of the car to obtain this acceleration?In a futuristic scenario, you are assigned the mission of making an enemy satellite that is in a circular orbit around Earth inoperative. You know you cannot destroy the satellite, as it is well protected against attack, but you can try to knock it out of its orbit so it will fly away and never return. What is the minimum amount of work ?W applied to the satellite that is required to accomplish that? The satellite's mass and altitude are 969 kg969 kg and 241 km.241 km. Earth's mass and radius are 5.98×1024 kg5.98×1024 kg and 6370 km.
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