help Calculate the amount of energy required to escape from the surface of the following bodies,...
The escape velocity of a bullet from the surface of planet Y is
1759.0 m/s. CALCULATE the escape velocity from the surface of
the planet X if the mass of planet X is 1.59 times that of Y, and
its radius is 0.895 times the radius of Y.
Suppose an object is launched from Earth with 0.56 times the kinetic energy for escape. How many multiples of Earth's radius (RE = 6.37 x 106 m) in radial distance will the object reach before falling back toward Earth? The distances are measured relative to Earth's center, so a ratio of 1.00 would correspond to an object on Earth's surface. For this problem, neglect Earth's rotation and the effect of its atmosphere. For reference, Earth's mass is 5.972 x 1024...
Part a) Calculate the energy required to lift 1 litre of gasoline from the surface of the Earth to an altitude of 3000 km above the surface of the Earth. Use g = 9.81 m s-2, the radius of the Earth is 6371 km, and the density of gasoline is 749 kg m-3. Part b) A planet orbits the Sun in a circular orbit. The force of gravity is the centripetal force of the circular motion. Assuming that potential energy...
*The escape speed from the surface of the Earth is 11.2 km/s. Estimate the escape speed for a spacecraft from the surface of the Moon. The Moon has a mass 1/81 that of Earth and a radius 0.25 that of Earth. (2 pts) A) 2.5 km/s B) 4.0 km/s C) 5.6 km/s D) 8.7 km/
A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What multiple of Earth's radius RE gives the radial distance (from the Earth's center) the projectile reaches if a) its initial speed is 0.365 of the escape speed from Earth and b) its initial kinetic energy is 0.365 of the kinetic energy required to escape Earth? (Give your answers as unitless numbers.) c) What is the least initial mechanical energy required at launch if the...
A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What multiple of Earth's radius RE gives the radial distance (from the Earth's center) the projectile reaches if (a) its initial speed is 0.662 of the escape speed from Earth and (b) its initial kinetic energy is 0.662 of the kinetic energy required to escape Earth? (Give your answers as unitless numbers.) (c) What is the least initial mechanical energy required at launch if the...
40 A projectile is shot directly away from Earth's surface. Neglect the rotation of Earth. What multiple of Earth's radius Rg gives the radial distance a projectile reaches if (a) its initial speed is 0.500 of the escape speed from Earth and (b) its initial kinetic en- ergy is 0.500 of the kinetic energy required to escape Earth? (c) What is the least initial mechanical energy required at launch if the projectile is to escape Earth?
2. To get from Earth to Saturn as economically and quickly as possible, spacecraft make use of an elliptical transfer trajectory called the Hohmann transfer orbit. As shown in the diagram, below, Hohmann transfer facilitates a smooth transition between two planetary bodies in roughly circular orbits located on the same plane. For our solar system, this plane is known as the ecliptic. Using data you can find online for the orbits of Earth, Saturn and the Sun and assuming that...
A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What multiple of Earth's radius RE gives the radial distance (from the Earth's center) the projectile reaches if (a) its initial speed is 0.437 of the escape speed from Earth and (b) its initial kinetic energy is 0.437 of the kinetic energy required to escape Earth? (Give your answers as unitless numbers.)
What's the escape velocity of a 100-kg satellite from the Moon's surface? Would the same satellite need smaller or bigger escape speed from the earth?