Answer:
y = 5 cos 2πt
Explanation:
We will use the formula for simple harmonic motion curve where;
y = a cos ωt
Where;
a is amplitude
t is period
ω is angular frequency with the formula; ω = 2π/t
We are told that when the spring is compressed, the mass is located 5 cm above its rest position.
Thus;
a = 5 cm
it's highest point is 5 cm, but we are told that after 1/2 second of being released, it reaches its lowest point.
Since highest point is 5, then lowest point will be -5.
The difference in time between the highest and lowest point is ½ s. Which is half of the period.
Thus;
t/2 = ½
Thus, t = 1 s
Now, we know that;
t = 1/f = 2π/ω
Since t = 1, then 1 = 1/f
f = 1
Thus;
2π/ω = 1
Thus, ω = 2π
Thus, the equation is;
y = 5 cos 2πt
If the Sun were replaced by a 1-solar-mass black hole, then Earth wouldcontinue to orbit the black hole in precisely its present orbit. The planets would actually continue on in their orbits as if nothing had happened<span>.</span>
<u>Answer:</u>
A plant needing full sun can be placed from a fence 4.63 ft high at a distance of 10.75 meter if the lowest angle of elevation of the sun in winter is 23° 18'.
<u>Explanation:</u>
The given figure shows the arrangement of sun, 4.63 ft high and plant needing full sun.
By using trigonometric result, tan θ = Opposite side/Adjacent side.
Substituting
tan(23° 18') = 4.63 ft/x
x = 4.63 ft/ tan(23° 18') = 10.75 m
So that a plant needing full sun can be placed from a fence 4.63 ft high at a distance of 10.75 meter.
Answer:
Friction: When two surfaces slide against each other / make contact with each other
Force: A push or pull exerted on an object
Mechanical or Electromagnetic
