Q:
Sound intensity varies inversely as the square of the distance from
the sound source. If you are in a movie theater and you change your
seat to one that is twice as far from the speakers, how does the new
sound intensity compare with that of your original seat?
The sound intensity is \( \square \) of what it was originally.
(Type an integer or a fraction.)
Q:
Radiation machines used to treat tumors produce an intensity of
radiation that varies inversely as the square of the distance from the
machine. At 3 meters, the radiation intensity is 62.5 milliroentgens
per hour. What is the intensity at a distance of 1.9 meters?
The intensity is
tenth as needed.)
Q:
A body of 30 Newtons weight was placed on a rough inclined plane inclined
to the horizontal at an angle of measure \( \theta \). A force of magnitude \( 20 \sqrt{3} \)
Newtons. It was applied to it in the direction of the line of the greatest slope
of the plane upward, so the body was about to move upwards. Find the
measure of the angle \( \theta \) if it is known that the coefficient of static friction
between the body and the plane is \( \frac{\sqrt{3}}{3} \).
Q:
83 Una pallina viene lanciata verticalmente verso l'alto con una
fionda che le imprime una velocità pari a \( 15,0 \mathrm{~m} / \mathrm{s} \). Trova la
velocità che ha la pallina quando raggiunge l'altezza di \( 10,0 \mathrm{~m} \).
Q:
A body of weight 30 Newtons was placed on a rough inclined plane inclined
to the horizontal at an angle of measure 600 . A force of magnitude 10
Newtons was applied to it in the direction of the line of the greatest slope of
the plane upward, so the body was about to move downward. Find the
magnitude of the force if it is known that the coefficient of static friction
between the body and the plane is \( \frac{\sqrt{3}}{3} \)
Q:
A body of weight 30 Newtons was placed on a rough inclined plane inclined
to the horizontal at an angle of measure \( 60^{\circ} \). A force of magnitude 10
Newtons was applied to it in the direction of the line of the greatest slope of
the plane upward, so the body was about to move downward. Find the
magnitude of the force if it is known that the coefficient of static friction
between the body and the plane is \( \frac{\sqrt{3}}{2} \)
Q:
Selanci verso l'alto un mazzo di chiavi con una velocità di \( 10.0 \mathrm{~m} / \).
quale altezza massima raggiunge?
Q:
A body of weight 400 Newton was plated on a rough inclined plane inclined
to the horizontal at an angle of measure \( 30^{\circ} \). A force was applied to the
body in the direction of the line of the greatest slope of the plane upward,
so the body was about to move up the plane. If the coefficient of static
friction between the body and the plane was \( \frac{1}{\sqrt{3}} \).
Find the magnitude of the force.
Q:
(13) A body of weight 400 Newton was pla ed on a rough inclined plane inclined
to the horizontal at an angle of measure \( 30^{\circ} \). A force was applied to the
body in the direction of the line of the greatest slope of the plane upward,
so the body was about to move up the plane. If the coefficient of static
friction between the body and the plane was \( \frac{1}{\sqrt{3}} \).
Find the magnitude of the force.
(14) A body of weight 30 Newtons was placed on a rough inclined plane inclined
to the horizontal at an angle of measure \( 60^{\circ} \). A force of magnitude 10
Newtons was applied to it in the direction of the line of the greatest slope of
the plane upward, so the body was about to move downward. Find the
magnitude of the force if it is known that the coefficient of static friction
between the body and the plane is \( \frac{\sqrt{3}}{3} \)
(15) A body of 30 Newtons weight was placed on a rough inclined plane inclined
to the horizontal at an angle of measure \( \theta^{\circ} \). A force of magnitude \( 20 \sqrt{3} \)
Newtons. It was applied to it in the direction of the line of the greatest slope
of the plane upward, so the body was about to move upwards. Find the
measure of the angle \( \theta \) if it is known that the coefficient of static friction
between the body and the plane is \( \frac{\sqrt{3}}{3} \).
Q:
(11) A body of weight 60 Newtons was placed on a rough inclined plane inclined
to the horizontal at an angle whose sine \( =\frac{3}{5} \). It was observed that the body is
about to move under the action of its weight only. Find the coefficient of
static friction between the body and the plane.
(12) A body was placed on a rough inclined plane inclined to the horizontal at an
angle of measure \( 60^{\circ} \). The coefficient of static friction between the body and
the plane was \( \frac{\sqrt{3}}{2} \). Explain and state the reason why the body cannot remain
in equilibrium on the plane.
(13) A body of weight 400 Newton was pla ed on a rough inclined plane inclined
to the horizontal at an angle of measure \( 30^{\circ} \). A force was applied to the
body in the direction of the line of the greatest slope of the plane upward,
so the body was about to move up the plane. If the coefficient of static
friction between the body and the plane was \( \frac{1}{\sqrt{3}} \).
Find the magnitudc of the force.
(14) A body of weight 30 Newtons was placed on a rough inclined plane inclined
to the horizontal at an angle of measure \( 60^{\circ} \). A force of magnitude 10
Newtons was applied to it in the direction of the line of the greatest slope of
the plane upward, so the body was about to move downward. Find the
magnitude of the force if it is known that the coefficient of static friction
between the body and the plane is \( \frac{\sqrt{3}}{3} \)
(15) A body of 30 Newtons weight was placed on a rough inclined plane inclined
to the horizontal at an angle of measure \( \theta \). A force of magnitude \( 20 \sqrt{3} \)
Newtons. It was applied to it in the direction of the line of the greatest slope
of the plane upward, so the body was about to move upwards. Find the
measure of the angle \( \theta \) if it is known that the coefficient of static friction
between the body and the plane is \( \frac{\sqrt{3}}{3} \).
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