1. A rock tied to a string is traveling at a
constant speed of 4 m / s in a circle of radius 1.5 m. Calculate the magnitude
of the centripetal acceleration of the rock. What is the direction of the
acceleration? Answer
(35.0K)
2. A 1.3 m long fishing line rated as "10
lb test" that can stand a force of 10 lb (44.48 N) is attached to a rock
of mass 0.5 kg. Calculate
the maximum speed at which the rock can be rotated without breaking the line. Answer
(41.0K)
3. A rock tied to the end of a string moves
in a circle at a constant speed of 2.5 m / s and experiences an acceleration
of 4.0 m / s^{2}. What
is the radius of the circle of its motion? Answer
(39.0K)
4. A rock tied to the end of a string moves
in a circle of radius 1.2 m with a constant speed of 3.0 m / s. Calculate
the centripetal acceleration of the rock. Answer
(32.0K)
5. Calculate the gravitational attraction between
a person of mass 60 kg and a building of mass 10,000 kg when the person is
5 m from the building. Answer
(37.0K)
6. A satellite of mass 500 kg is placed in an
orbit of radius 5 times the radius of the Earth, i.e. the distance between
the satellite and the center of the Earth is equal to 5 Earth radii. Calculate
the centripetal force experienced by the satellite. The
radius of the Earth is 6.37 x 10^{6} m. Answer
(40.0K)
7. The distance from the Earth to the Sun is
1.5 x 10^{11} m (93 million miles), and the time for one complete
orbit of the Earth about the Sun is one year. How long would it take for
a planet located at twice this distance from the Sun
to complete one orbit? Answer
(49.0K)
8. A car of mass 1000 kg travels around a level
curve of radius 40 m. If the maximum frictional force that can be exerted
upon the car by the road (determined by the coefficient of friction between
the tires and the road) is 7000 N how fast can the car travel without "spinning
out?" Answer
(38.0K)
9. The mass of Mars is 6.37 x 10^{23} kg
and its radius is 3430 km. Calculate the value of g for Mars. Answer
(39.0K)
10. The Earth has a mass of 5.98 x 10^{24} kg,
the Moon has a mass of 7.34 x 10^{22} kg, and the distance from
the center of the Earth to the center of the Moon is
3.8 x 10^{5} km. Calculate the gravitational attractive force
between the Earth and the Moon. Answer
(38.0K)
