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University Physics-1
Ch-13
NAME: _____________________________________________
HOMEWORK CHAPTER 13:
UNIVERSAL GRAVITATION
NOTE:
1
Hand in your solutions in class in the lecture period after which the chapter is completed.
2
Show the equations and calculations, and box your answer. Be sure to include the units.
3
You are required to solve all problems. Instructor will select and grade any four questions, and
the marks for this HW will be based on these only.
1.
Determine the gravitational force that you exert on another person 3.0 m away. State
the assumptions that you have made.
2.
Calculate the gravitational force of attraction between the Earth and the Sun, hence
calculate the acceleration of the Earth towards the sun. Verify if this is equal to earth’s
centripetal acceleration.
3.
When a falling meteoroid is at a distance above the Earth’s surface of 4.00 times the
Earth’s radius, what is its acceleration due to the Earth’s gravitation?
University Physics-1
Ch-13
4.
A synchronous satellite, which always remains above the same point on a planet’s
equator, is put in orbit around the Moon. Find the radius of its orbit.
5.
A 50-kg satellite is orbiting the Earth in an orbit with a radius of 12 x 106 m. What should be
its speed so that it remains in orbit?
6.
Three 5.0-kg masses are located at the vertices of an equilateral triangle of side 30 cm in
the xy plane. What is the magnitude of the resultant force (caused by the other two masses) on
the mass at the origin?
University Physics-1
7.
Ch-13
What is the escape speed from Earth, and the Moon?
8.
The figure below shows a planet traveling in a counterclockwise direction on an elliptical
path around a star located at one focus of the ellipse. When the planet is at point A its speed is
increasing, Give the reason for this.
9.
The planet Mars requires 5.94 x 107 s to orbit the sun, which has a mass M = 1.99 x 1030 kg,
Assume that the orbit is circular, calculate the radius of the orbit and the orbital speed of Mars as
it circles the sun.
10.
The Space shuttle is placed in a circular orbit about 170 mi above Earth. Determine (A)
the orbital speed of the satellite and (B) the time required for one complete revolution.