A :-) for this question , we should apply
F = GMm by d^2
( For making the calculation easy , first remove the decimals )
Given : G = 6.7 x 10^-11 Nm^2 / kg^2
= 67 x 10^-12 Nm^2 / Kg^2
M = 65 kg
m = 40 kg
d = 0.5 m
Solution -
F = GMm by d^2
F = 67 x 10^-12 x 65 x 40 by 0.5 x 0.5
F = 4355 x 40 x 10^-12 by 0.25
F = 174200 x 10^-12 by 0.25
F = 696800 x 10^-12
.:. The Gravitational force between mark and Katie is 696800 x 10^-12
Answer: There are 9 molecules.
Explanation: 3H2O has 6 hydrogen atoms and 3 oxygen atoms. Heres a diagram.
HHO + HHO + HHO = 3H2O
The difference between the measures of the intercepted arcs of the given circle is 45°.
A circle is defined as the set of points in a plane equidistant to each, such that it forms a closed two-dimensional figure, which is known as a circle.
- A line intersecting a circle at a minimum of two distinct points is known as a secant and the line touching the circle at only one point, is known as the tangent of a circle.
- The intercepted arc is the section of the circumference of a circle such that it is either encased by two chords or a line segment, meeting at a single point.
We are given that the angle subtended by secant and tangent, outside the circle is,

And angle measured inside the circle is,

So, the difference between the measures of the intercepted arcs is,

Thus, we can conclude that the difference between the measures of the intercepted arcs of the given circle is 45°.
learn more about the tangent here:
brainly.com/question/14022348
Answer:
Approximately
.
Explanation:
Fact: the angular velocity
of a simple harmonic oscillator is the ratio between the maximum velocity
and the maximum displacement
of this oscillator. In other words:
.
Derivation of the previous equation:
Let
denote the amplitude of this oscillation, and let
denote the angular velocity.
The displacement of the oscillator at time
would be:
.
The maximum displacement of this oscillator would be
.
The velocity of this oscillator at time
is the derivative of displacement with respect to time:
.
The maximum velocity of this oscillator would be
.
Notice that dividing
by
would give:
.
It is given that
while
. Therefore:
.
(Radians per second.)