Energy is required to move a 1590 kg mass from the Earth’s surface to an altitude 2.59 times the Earth’s radius RE. (RE=6.37 × 106 m) What amount of energy is required to accomplish this move?
Answer in units of J.
Energy is required to move a 1590 kg mass from the Earth’s surface to an altitude...
At what altitude above the surface of the carth the acceleration of gravity (free fall) is 0.875 of its value at the surface? 7. Note that: Radius of Earth is Re 6.37 x 106 m Mass of Earth is Me-5.98 x 1024 kg Gravitational Constant G- 6.67 x 101l N.m'/kg
A 507 kg satellite is in a circular orbit at an altitude of 754 km above a planet’s surface. This planet is similar to our Earth. Because of air friction, the satellite eventually is brought to the Earth’s surface, and it hits the Earth with a speed of 3 km/s. The radius of the planet is 7 × 106 m and its mass is 8 × 1024 kg. The gravitational constant is 6.67259 × 10−11 N m2 /kg2. How much...
You have a rocket of mass 2350 kg. How much work does the force of gravity do on the rocket if it moves from Earth's surface to 3.0 times the Earth's radius away? Be careful to use the definition of work that accounts for a force that changes based on location! J G = 6.67 x 10-11 m3/kg/s2 MEarth = 5.97 x 1024 kg REarth = 6.37 x 106 m What is the change in gravitational potential energy as the...
8. (a) Calculate the potential energy of a 10.0-kg mass on the surface of the Earth and at an altitude of 400 km respectively: (b) calculate the speed needed to move this mass from surface of the Earth to the altitude of 400 km. (-6.25*10%, -5.88*10% J, 2.72*10 m/s)
The sun emits electromagnetic radiation with a power of 4.0 x 1026 W. The earth’s average distance from the sun is 1.50 x 1011 m. The earth’s radius is 6.37 x 106 m. What total radiant energy does the earth receive from the sun over the course of a single day? (Answer: 1.6 x 1022 J)
2. (50%) At an altitude RA = 4.30 × 106 m above the earth surface, the velocity of the space probe fired from earth has a magnitude of UA-32.5x 106 m/h and an angle of фА-600 with the radial direction. Find (a) the angular momentum per unit mass of the space probe, (b) the θ-component of the velocity, ve, as the probe passes through the point B at the altitude h 12.7 x 106 m above the earth surface. The...
The value of g at the Earth's surface is about 9.81 m/s2. The the mass of the Earth = 5.98 x 1024 kg and the radius of the Earth is 6.37 x 106 m. 1) Calculate the value of g for a satellite that is orbiting in a circle at an altitude equal to 3 Earth radii. g =
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...
A 2010 kg space station orbits Earth at an altitude of 5.41×105 m. Find the magnitude of the force with which the space station attracts Earth. The mass and mean radius of Earth are 5.98×1024 kg and 6.37×106 m, respectively.
A space elevator has an altitude above the Earth's surface of 40,000 km. What would be the kinetic energy of a 1kg mass at the end of our space elevator? What would be the gravitational potential energy of that mass? If the 1 kg object fell all the way down to the Earth's surface, what would be its speed just before impact? (The radius of Earth is 6.4 x 106 m).