) If the torque required to loosen a nut that is holding a flat tire in place on a car has a magnitude of 40.0 Nm, what minimum force must be exerted by the mechanic at the end of a 30.0 cm lug wrench to accomplish the task?

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1.991 x
force exerted by the sun on the Earth? (mass sun =
5.98 x1024 kg, mass moon = 7.36 x 1022 kg) (Sun to earth = 1.496 x 10' m, earth
to moon = 3.84 x108 m)
1 " kg, mass earth
=
%3D
4) Use the data from the above problem to find the point between the Earth and the
Sun at which an object can be placed so that the net gravitational force exerted by
the Earth and the Sun on that object is zero.
5) Io, a satellite of Jupiter has an orbital period of 1.77 days and an orbital radius of
4.22 x 10 km. From these data, determine the mass of Jupiter.
6) Neutron stars are extremely dense objects that are formed from the remnants of
supernova explosions. Many rotate very rapidly. Suppose that the mass of a
certain spherical neutron star is twice the mass of the sun and its radius is 10.0
km. Determine the greatest possible angular speed the neutron star can have so
that the matter at its surface on the equator is just held in orbit by the gravitational
force.
7) If the torque required to loosen a nut that is holding a flat tire in place on a car has
a magnitude of 40.0 Nm, what minimum force must be exerted by the mechanic at
the end of a 30.0 cm lug wrench to accomplish the task?
8) A simple pendulum consists of a small mass 3.0 kg hanging at the end of a 2.0 m
long light string that is connected to a pivot point. Calculate the magnitude of the
torque (due to gravity) about this pivot point when the string makes an angle 5.0
with the vertical
Transcribed Image Text:1.991 x force exerted by the sun on the Earth? (mass sun = 5.98 x1024 kg, mass moon = 7.36 x 1022 kg) (Sun to earth = 1.496 x 10' m, earth to moon = 3.84 x108 m) 1 " kg, mass earth = %3D 4) Use the data from the above problem to find the point between the Earth and the Sun at which an object can be placed so that the net gravitational force exerted by the Earth and the Sun on that object is zero. 5) Io, a satellite of Jupiter has an orbital period of 1.77 days and an orbital radius of 4.22 x 10 km. From these data, determine the mass of Jupiter. 6) Neutron stars are extremely dense objects that are formed from the remnants of supernova explosions. Many rotate very rapidly. Suppose that the mass of a certain spherical neutron star is twice the mass of the sun and its radius is 10.0 km. Determine the greatest possible angular speed the neutron star can have so that the matter at its surface on the equator is just held in orbit by the gravitational force. 7) If the torque required to loosen a nut that is holding a flat tire in place on a car has a magnitude of 40.0 Nm, what minimum force must be exerted by the mechanic at the end of a 30.0 cm lug wrench to accomplish the task? 8) A simple pendulum consists of a small mass 3.0 kg hanging at the end of a 2.0 m long light string that is connected to a pivot point. Calculate the magnitude of the torque (due to gravity) about this pivot point when the string makes an angle 5.0 with the vertical
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