A spherical asteroid with a radius of 11 km approaches Earth with a speed 0.3c. What...
A spherical asteroid with a radius of 11 km approaches Earth with a speed 0.3c. What is the volume of the asteroid as determined by an Earth-based observatory. (The volume of an ellipsoid with semi-axis a,b, and d is 4π*a*b*d/3).
Homework Answers
From the special theory of Relativity we know that when an object moves with velocity comparable to the speed of light its length which lies along the direction of motion contracts. So in this case one of the radius of the sphere will contract and the sphere will turn into an ellipsoid.
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A spherical asteroid with a radius of 11 km approaches Earth
with a speed 0.3c. What...
Consider a spherical asteroid with a radius of 20 km and a mass of 9.25 ✕...
Consider a spherical asteroid with a radius of 20 km and a mass of 9.25 ✕ 1015 kg. Assume the asteroid is roughly spherical. (a) What is the acceleration due to gravity on the surface of this asteroid? m/s2 (b) Suppose the asteroid spins about an axis through its center, like the Earth, with a rotational period T. What is the smallest value T can have before loose rocks on the asteroid's equator begin to fly off the surface? h
What is the escape speed on a spherical asteroid whose radius is 387 km and whose...
What is the escape speed on a spherical asteroid whose radius is 387 km and whose gravitational acceleration at the surface is 0.595 m/s2? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 568 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 2376 km above the surface?
(a) What is the escape speed on a spherical asteroid whose radius is 848 km and...
(a) What is the escape speed on a spherical asteroid whose radius is 848 km and whose gravitational acceleration at the surface is 1.78 m/s2? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 1390 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 1147 km above the surface? (a) Number 1737.5 Units m/s X (b) Number 827.29 Units 7 km...
What is the escape speed from a spherical asteroid of radius 15 km, whose mass density...
What is the escape speed from a spherical asteroid of radius 15 km, whose mass density is approximately half that of the Earth, or 2.8 g/cm3 16 m/s More information is needed. 11m/s 2300 m/s 19 m/s
need HELP ASAP (a) What is the escape speed on a spherical asteroid whose radius is 284 km and whose gravitational accel...
need HELP ASAP
(a) What is the escape speed on a spherical asteroid whose radius is 284 km and whose gravitational acceleration at the surface is 0.254 m/s2? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 310 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 1575 km above the surface? (a) Number Units (b) Number Units (c) Number Units
2. A strange spherical asteroid has a density of 5200. kg/m2 with an outer radius of...
2. A strange spherical asteroid has a density of 5200. kg/m2 with an outer radius of 200.0 km, Symmetricalily in the center of the asteroid is a spherical cavity 75.0 km in diameter. A 2500. kg spacecraft from Earth orbits the asteroic 25.0 km above its surface in a circular orbit. What is the orbital period (in hours) of the spacecraft? Ignore the gravity of all other bodies.
In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with...
In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 1.20×1016 kg and a radius of 8.20 km . part a) What is the speed of a satellite orbiting 6.00 km above the surface? part b) What is the escape speed from the asteroid?
Astronomers estimate that a 2.0-km-wide asteroid collides with the Earth once every million years. The collision...
Astronomers estimate that a 2.0-km-wide asteroid collides with the Earth once every million years. The collision could pose a threat to life on Earth. a) Assume a spherical asteroid has a mass of 3500 kg for each cubic meter of volume and moves toward the Earth at 14 km/s. How much destructive energy could be released when it embeds itself in the Earth? B)For comparison, a nuclear bomb could release about 4.0×1016 J . How many such bombs would have...
1. Ceres is the largest asteroid. Its mean radius is 476 km and its mass is...
1. Ceres is the largest asteroid. Its mean radius is 476 km and its mass is 9.4×10^20 kg. Using this, and G=6.67×10^−11 Nm^ 2 kg^−2, and approximating it as a sphere, compute the speed required to escape the gravity on the surface of Ceres. Speed= ___ m.s^−1. (to two significant figures, don't use scientific notation) 2. Consider the mechanical energy of a body in geostationary orbit above the Earth's equator, at rGS = 42000 km. Consider the mechanical energy of the...
need help on C. Conservation of angular momentum A spherical star with radius R1 7.96 x...
need help on C.
Conservation of angular momentum A spherical star with radius R1 7.96 x 10 km and rotating with angular speed (o 3,92 x 10s rad/s suddenly collapses into a neutron star. The neutron star emits a beam of X-rays directed radially outward that can be seen by an observatory on the earth r 4.55 x 104 km from the star. The X-ray beam sweeps past the earth with a tangential speed v 7.40 x 10 km/s each...
(a) What is the escape speed on a spherical asteroid whose radius is 848 km and whose gravitational acceleration at the surface is 1.78 m/s2? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 1390 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 1147 km above the surface? (a) Number 1737.5 Units m/s X (b) Number 827.29 Units 7 km...
need HELP ASAP
(a) What is the escape speed on a spherical asteroid whose radius is 284 km and whose gravitational acceleration at the surface is 0.254 m/s2? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 310 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 1575 km above the surface? (a) Number Units (b) Number Units (c) Number Units
2. A strange spherical asteroid has a density of 5200. kg/m2 with an outer radius of 200.0 km, Symmetricalily in the center of the asteroid is a spherical cavity 75.0 km in diameter. A 2500. kg spacecraft from Earth orbits the asteroic 25.0 km above its surface in a circular orbit. What is the orbital period (in hours) of the spacecraft? Ignore the gravity of all other bodies.
need help on C.
Conservation of angular momentum A spherical star with radius R1 7.96 x 10 km and rotating with angular speed (o 3,92 x 10s rad/s suddenly collapses into a neutron star. The neutron star emits a beam of X-rays directed radially outward that can be seen by an observatory on the earth r 4.55 x 104 km from the star. The X-ray beam sweeps past the earth with a tangential speed v 7.40 x 10 km/s each...
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