Answer:
The done by the vertical component of force is zero.
Explanation:
Given data,
The mass of the textbook the women pushes horizontally, m = 3.2 kg
The displacement of the textbook, S = 3.5 m
Let the force of the women acts on the book horizontally,
Therefore, the horizontal component of force is maximum and the vertical component is zero.
If F is the force applied by the women, then the horizontal and vertical component of the force is,
Since the force is acting along with the horizontal x component, the vertical component of the force is zero.
Hence, the done by the vertical component of force is zero.
We have that the spring constant is mathematically given as
Generally, the equation for angular velocity is mathematically given by
Where
k=spring constant
And
Therefore
Hence giving spring constant k
Generally
Mass of earth
Period for on complete resolution of Earth around the Sun
Therefore
In conclusion
The effective spring constant of this simple harmonic motion is
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Answer:
about 19.6° and 73.2°
Explanation:
The equation for ballistic motion in Cartesian coordinates for some launch angle α can be written ...
y = -4.9(x/s·sec(α))² +x·tan(α)
where s is the launch speed in meters per second.
We want y=2.44 for x=50, so this resolves to a quadratic equation in tan(α):
-13.6111·tan(α)² +50·tan(α) -16.0511 = 0
This has solutions ...
tan(α) = 0.355408 or 3.31806
The corresponding angles are ...
α = 19.5656° or 73.2282°
The elevation angle must lie between 19.6° and 73.2° for the ball to score a goal.
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I find it convenient to use a graphing calculator to find solutions for problems of this sort. In the attachment, we have used x as the angle in degrees, and written the function so that x-intercepts are the solutions.
