Download Name Date Per. ______ HW#35: Physics Standard 1e Gravitational

Name ______________________________ Date ____________________ Per. __________
HW#35: Physics Standard 1e Gravitational Force / Review
1.
The largest fish is the whale shark, which can have a mass of 2.04x104kg. The largest mammal,
and indeed the largest animal ever to have lived on Earth, is the blue whale, which can have a
mass of 1.81x105kg. If the distance between these two creatures is 1.5 m, how large is the
gravitational force between them?
2.
A gravimeter is a highly sensitive device that measures changes in the gravitational force in a
given area. These measurements reveal variations in the density of underground rock. This
information can be used to indicate whether resources like oil are possibly present. Suppose a
certain type of gravimeter has a test mass of 0.500 kg inside it. How large is the gravitational
force between this mass and a mountain that is 10.0 km away and that has a mass of
2.50x1012kg?
3.
The nearest galaxy with a size similar to that of the Milky Way is the so-called Andromeda
galaxy. By all appearances, this galaxy is very similar to our own. Suppose both the Milky Way
and Andromeda galaxies have identical masses equal to 500 billion solar masses, or 9.95x1041kg.
If the gravitational force between the two galaxies has a magnitude of 1.83x1029N, what is the
distance separating the galaxies?
4.
Comets from the Oort cloud do not frequently enter the solar system close to the sun. This
occurs only when they are perturbed by other masses, such as other nearby comets, or even the
closest stars. Suppose two comets in the Oort cloud interact with a gravitational force of just
125 N. If the masses of the comets are 4.5x1013 kg and 1.2x1014 kg, what is the distance
separating them?
5.
Jupiter’s largest moon, Ganymede, is also the eighth largest known object in the solar system.
The magnitude of the gravitational force between Ganymede and Jupiter is 1.636x1022N. Given
that Jupiter’s mass is 1.90x1027kg and the distance between Jupiter and Ganymede is
1.071x106km, calculate Ganymede’s mass.
6.
The largest known asteroid in the solar system is Ceres, which is located in an orbit between
Mars and Jupiter. Although the existence of Ceres has been known for two hundred years, its
mass is still not well determined. Suppose the magnitude of the gravitational force between the
sun and Ceres equals 1.17x1018 N. Given that the sun’s mass is 1.99x1030 kg and the distance
between the sun and Ceres is 4.12x1011 m, what is Ceres’ mass?
Review
1)
A ball is attached to a string. The ball is whirled around and around if the string breaks at the
point shown, what will be the path of the ball?
A
B
C
2) The correct path of the ball from problem 1 is due to_________________.
3) What provides the centripetal force for the moon’s orbit around Earth?
4) A 0.40-kg mass, attached to the end of a 0.75-m string, is whirled around in a circular horizontal
path. If the maximum tension that the string can withstand is 450 N, then what maximum speed
can the mass have if the string is not to break?
5) The distance from the center of a Ferris wheel to a passenger seat is 12 m. What centripetal
acceleration does a passenger experience when the wheel’s tangential velocity is 6m/s?
6) While on a merry-go-round you walk towards the center. You centripetal acceleration will
_____________ (increase/decrease) while your tangential velocity _______________
(increase/decrease).
7) A point on the rim of a 0.25-m-radius fan blade has centripetal acceleration of 0.20 m/s2. Find the
centripetal acceleration of a point 0.05 m from the center of the same wheel.
8) A bug on the rim of a disk rotates with a tangential velocity of 12.0 m/s and a centripetal
acceleration of 10.0 m/s2. What is the radius of the disk?
9) If the tangential speed of a space habitat doubles and the radius decrease by half the weight of
people inside
10) Which diagram best represents the gravitational forces, Fg, between the satellite, S, and the Earth?
11) If a planet has 4 times the radius of the Earth, but has the same mass as the Earth, what is the
gravitational acceleration at the surface of the planet? (g = 9.8 m/s2)
12) A planet has four times the mass of Earth. How much larger would the radius of the planet have
to be for the gravitational field strength, g, at the planet’s surface to be the same as on Earth’s
surface?
13) An Earth satellite is orbiting at a distance from the Earth’s surface equal to one Earth radius (4
000 miles). At this location, the acceleration due to gravity is what factor times the value of g at
the Earth’s surface?
14) An Earth satellite is orbiting at a distance from the Earth’s surface equal to one Earth radius
(4000 miles). At this location, the acceleration due to gravity is what factor times the value of g
at the Earth’s surface?
15) An object when orbiting the Earth at a height of three Earth radii from the center of the Earth
has a weight of 1.00 N. What is the object’s mass?