What would happen to the distance travelled by a toy car if I raise the height of the inclined plane?
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‘What would happen to the distance travelled by a toy car if I raise the height of the inclined plane?
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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.If you took the Earth and reduced its radius to one fourth its current size, what would the escape velocity from the Earth be?(a) Evaluate the gravitational potential energy (in J) between two 6.00 kg spherical steel balls separated by a center-to-center distance of 19.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.20 cm. m/s
- If you are going to launch a 10,000 kg spacecraft from Earth, (a) how much kinetic energy it must possess in order to escape the gravitational pull? (b) If the mass is reduced by 5,000 kg, how much kinetic energy is required?(a) Evaluate the gravitational potential energy (in J) between two 4.00 kg spherical steel balls separated by a center-to-center distance of 19.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.50 cm. m/sA comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.9 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.3 x 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed = m/s
- An earth-like planet with a mass of 6.00×1024 kg has a space station of mass 4.60×104 kg orbiting it at a distance of 5.00×105 km. What is the gravitational potential energy between the space station and the planet? (We can simplify the Gravitational Constant G to 6.7x10-11 Nm2/kg) (calculate in J)An object is thrown upward with a speed of 16.3 m/s on the surface of planet X where the acceleration due to gravity is 1.8 m/s. What is the maximum height reached by the object? Answer: CheckHow much energy is required to lift a 10 kg rock from the surface of the Earth and place it in a circular orbit just 10 km above sea level? Assume Earth's radius is about 6371 km.
- How fast must you project an object for it to reach a height equal to the moon's distance from the earth? Ignore the gravitational attraction of the moon.If you tethered a space station to the earth by a long cable, you could get to space in an elevator that rides up the cable— much simpler and cheaper than riding to space on a rocket. There’s one big problem, however: There is no way to create a cable that is long enough. The cable would need to reach 36,000 km upward, to the height where a satellite orbits at the same speed as the earth rotates; a cable this long made of ordinary materials couldn’t even support its own weight. Consider a steel cable suspended from a point high above the earth. The stress in the cable is highest at the top; it must support the weight of cable below it. What is the greatest length the cable could have without failing? For the purposes of this problem, you can ignore the variation in gravity near the surface of the earth. Hint: The mass of the cable is the volume of the cable multiplied by the density. The density of steel is 7900 kg/m3.An object is dropped from the top of a cliff 600 meters high. Its height above the ground t seconds after it is dropped is 600−4.9t^2. Determine its speed 9 seconds after it is dropped.