5. A rocket is launched horizontal from the surface of earth. The launch velocity of the...
2. A rocket of mass m is fired vertically from the Earth, with an initial speed U. It rises to a height R/2 before falling back to Earth, where R is the radius of the Earth. Calculate U in terms of G, M (the Earth's mass) and R. The rocket is fired with the same initial speed, but this time at an angle 45° to the horizontal. Calculate its angular momentum J and total energy E, and use these to...
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...
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...
Suppose an object is launched from Earth with 0.52 times the escape speed. 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 x1024 kg. Your answer is...
P3. A rocket of mass -1.20x10'kg is launched vertically upward from point A on the earth's surface with an initial speed v, 7.00km/s a. (12) Calculate the maximum height H of point B above the earth's surface at which the rocket will momentarily come to rest, before it starts falling back to the earth Hint: Use conservation of energy. b. (4) Determine the gravitational acceleration a at point B. c. (9) Calculate the total mechanical energy E of the rocket....
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?
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.)
QUESTION 10 A rocket of mass 2000 kg is launched straight upwards from the Earth's surface to an altitude of 10,000 km. How fast was the launch speed? Radius of the Earth is 6.37x10 m. Mass of the Earth is 5.97x10 kg. The Universal gravitational constant is 6.67x10" N /kg a 442.7 m/s Ob. 1390 m/s c.4119 m/s d. 8739 m/s Oe. 10841 m/s
A rocket is launched vertically upward from Earth's surface at a speed of 5.4 km/s . What is its maximum altitude? Express your answer using two significant figures. = m