A satellite in a circular orbit around the earth with a radius
1.011 times the mean radius of the earth is hit by an incoming
meteorite. A large fragment (m = 81.0 kg) is ejected in the
backwards direction so that it is stationary with respect to the
earth and falls directly to the ground. Its speed just before it
hits the ground is 361.0 m/s. Find the total work done by gravity
on the satellite fragment. RE 6.37·103 km;...
A satellite in a circular orbit around the earth with a radius
1.011 times the mean radius of the earth is hit by an incoming
meteorite. A large fragment (m = 75.0 kg) is ejected in the
backwards direction so that it is stationary with respect to the
earth and falls directly to the ground. Its speed just before it
hits the ground is 359.0 m/s.
Find the total work done by gravity on the satellite fragment.
RE 6.37
A satellite moves in a circular earth orbit that has a radius of
7.49 x 106 m. A model airplane is flying on a 24.1-m guideline in a
horizontal circle. The guideline is nearly parallel to the ground.
Find the speed of the plane such that the plane and the satellite
have the same centripetal acceleration.
1.Consider a satellite of the earth in a circular orbit of
radius R. Let M and m be the mass of the earth and that of the
satellite, respectively. Show that the centripetal acceleration of
the satellite is aR =
-(v^2/R)*(r/r) where v = |v| is
the magnitude of the velocity V and
r/r is a unit vector in the radial direction.
2.Using Newton's second low of motion and the law of universal
gravitation, determine the speed v=|V| and the...
1. A certain satellite travels in an approximately circular
orbit of radius 7.5 × 106 m with a period of 6 h 27 min.
Calculate the mass of its planet from this information
2. (a) At what height above Earth's surface is
the energy required to lift a satellite to that height equal to the
kinetic energy required for the satellite to be in orbit at that
height? (b) For greater heights, which is greater,
the energy for lifting or...
A 150-kg satellite is in circular orbit of radius 7.3 Mm around
Earth. Determine:(a) potential, kinetic, and total mechanical
energies.(b) the orbital speed.(c) the escape velocity from this
altitude.
1-Why doesn't the force of gravity change the speed of a
satellite in circular orbit?
2-A circularly moving object requires a centripetal force. What
supplies this force for satellites that orbit the Earth?
3-A 'geosynchronous' Earth satellite can remain nearly directly
overhead in Singapore, but not in San Francisco. Why?
4-True or false: For orbits of greater altitude, the period is
longer.
5- Fill in the blank:
____(a)______gathered the data that were used to show that the
planets travel in...
A satellite is placed in an elongated elliptical (not circular)
orbit around the Earth. At the point in its orbit where it is
closest to the Earth, it is a distance of 1.00 × 10^6
m from the surface (not the center) of the Earth,
and is moving at a velocity of 5.14 km/s. At the
point in its orbit when it is furthest from the Earth it is a
distance of 2.00×10^6 m from the surface of the
Earth....
Two satellites are in circular orbits around the earth. The
orbit for satellite A is at a height of 555 km above the earth’s
surface, while that for satellite B is at a height of 778 km. Find
the orbital speed for (a) satellite A and (b) satellite B.
Two satellites are in circular orbits around the earth. The
orbit for satellite A is at a height of 458 km above the earth’s
surface, while that for satellite B is at a height of 732 km. Find
the orbital speed for (a) satellite A and
(b) satellite B.