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PHYS-2325: University Physics-I
HOMEWORK CHAPTER 13:
Khalid Bukhari
Ch-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 order of magnitude of the gravitational force that you exert on
another person 2.0 m away. In your solution, state the quantities you measure /
estimate and their values.
2.
Two ocean liners, each with a mass of 40 000 metric tons, are moving on parallel
courses 100 m apart. What is the magnitude of the acceleration of one of the liners
toward the other due to their mutual gravitational attraction? Model the ships as
particles.
3.
When a falling meteoroid is at a distance above the Earth’s surface of 3.00 times
the Earth’s radius, what is its acceleration due to the Earth’s gravitation?
4.
A synchronous satellite, which always remains above the same point on a
planet’s equator, is put in orbit around Jupiter to study the famous red spot. Jupiter
rotates once every 9.84 h. Use the data of Table 13.2 to find the altitude of the satellite.
PHYS-2325: University Physics-I
Khalid Bukhari
Ch-13
5.
A 50-kg satellite circles planet Cruton every 5.6 h in an orbit with a radius of 12
106 m. What is the magnitude of the gravitational force on the satellite by planet
Cruton?
6.
Three 5.0-kg masses are located at points in the xy plane as shown in the figure.
What is the magnitude of the resultant force (caused by the other two masses) on the
mass at the origin?
7.
What is the escape speed from a planet of mass M and radius R if M = 3.2 x 1023
kg and R = 2.4 x 106 m?
PHYS-2325: University Physics-I
Khalid Bukhari
Ch-13
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,
a.
b.
c.
d.
e.
its speed is constant.
its speed is increasing.
its speed is decreasing.
its speed is a maximum.
its speed is a minimum.
9.
The planet Venus requires 225 days to orbit the sun, which has a mass M = 1.99
1030 kg, in an almost circular trajectory. Calculate the radius of the orbit and the orbital
speed of Venus as it circles the sun.
10.
The Solar Maximum Mission Satellite was placed in a circular orbit about 150 mi
above Earth. Determine (A) the orbital speed of the satellite and (B) the time required
for one complete revolution.