An asteroid has a mass of m = 8.5 × 1012 kg and also has two rocket thrusters attached to it. One thruster supplies a force with x- and y- components F 1 = (8.0 × 107, 7.0 × 107) N while the other supplies a force with x- and y-components F 2 = (4.0 × 107, −2.0 × 107) N. (You may ignore the mass of the rocket thrusters and their fuel.) 1. Draw approximately to scale, a sketch of the 2 forces acting on the asteroid. Use the sketch to calculate (without calculation) the resultant force on the asteroid. 2. What is the magnitude of the resultant force - include it in your sketch. 3. Compare your answers from parts 1 and 2. Do the results agree? 4. At what distance from the Earth, in km, would the force calculated in parts 1-3 have the same magnitude as that due to gravitational attraction between the asteroid and the Earth? 5. What is the magnitude of the acceleration of the asteroid produced by the thrusters and in which direction does it act? 6. It the constant force calculated in parts 1-3 acts in the same direction as the asteroids motion. calculate the time required to change the speed of the asteroid by 1.0 ms-1 and therefore show that this is about 18 hours.
An asteroid has a mass of m = 8.5 × 1012 kg and also has two rocket thrusters attached to it. One thruster supplies a force with x- and y- components
F 1 = (8.0 × 107, 7.0 × 107) N while the other supplies a force with x- and y-components
F 2 = (4.0 × 107, −2.0 × 107) N. (You may ignore the mass of the rocket thrusters and their fuel.)
1. Draw approximately to scale, a sketch of the 2 forces acting on the asteroid. Use the sketch to calculate (without calculation) the resultant force on the asteroid.
2. What is the magnitude of the resultant force - include it in your sketch.
3. Compare your answers from parts 1 and 2. Do the results agree?
4. At what distance from the Earth, in km, would the force calculated in parts 1-3 have the same magnitude as that due to gravitational attraction between the asteroid and the Earth?
5. What is the magnitude of the acceleration of the asteroid produced by the thrusters and in which direction does it act?
6.
It the constant force calculated in parts 1-3 acts in the same direction as the asteroids motion. calculate the time required to change the speed of the asteroid by 1.0 ms-1 and therefore show that this is about 18 hours.
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