Answer:
The velocity when the ball hits the ground is obtained using v2. 2 = v1. 2 + 2 g Dy with v1=0 and Dy=h. Thus solving for v2 yields 17.1 m/s v2 = 2 g h =.
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Answer:
The maximum height the box will reach is 1.72 m
Explanation:
F = k·x
Where
F = Force of the spring
k = The spring constant = 300 N/m
x = Spring compression or stretch = 0.15 m
Therefore the force, F of the spring = 300 N/m×0.15 m = 45 N
Mass of box = 0.2 kg
Work, W, done by the spring =
and the kinetic energy gained by the box is given by KE = ![\frac{1}{2} mv^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20mv%5E2)
Since work done by the spring = kinetic energy gained by the box we have
=
therefore we have v =
=
=
= 5.81 m/s
Therefore the maximum height is given by
v² = 2·g·h or h =
=
= 1.72 m
<em>There are some placeholders in the expression, but they can be safely assumed</em>
Answer:
(a) ![f=1617.9\ Hz](https://tex.z-dn.net/?f=f%3D1617.9%5C%20Hz)
(b) ![T=0.618\ ms](https://tex.z-dn.net/?f=T%3D0.618%5C%20ms)
(c) ![A=20 \ Volts](https://tex.z-dn.net/?f=A%3D20%20%5C%20Volts)
(d) ![\varphi=60^o](https://tex.z-dn.net/?f=%5Cvarphi%3D60%5Eo)
Explanation:
<u>Sinusoidal Waves
</u>
An oscillating wave can be expressed as a sinusoidal function as follows
![V(t)&=A\cdot \sin(2\pi ft+\varphi )](https://tex.z-dn.net/?f=V%28t%29%26%3DA%5Ccdot%20%5Csin%282%5Cpi%20ft%2B%5Cvarphi%20%29)
Where
![A=Amplitude](https://tex.z-dn.net/?f=A%3DAmplitude)
![f=frequency](https://tex.z-dn.net/?f=f%3Dfrequency)
![\varphi=Phase\ angle](https://tex.z-dn.net/?f=%5Cvarphi%3DPhase%5C%20%20angle)
The voltage of the question is the sinusoid expression
![V(t)=20cos(5\pi\times 103t+60^o)](https://tex.z-dn.net/?f=V%28t%29%3D20cos%285%5Cpi%5Ctimes%20103t%2B60%5Eo%29)
(a) By comparing with the general formula we have
![f=5\pi\times 103=1617.9\ Hz](https://tex.z-dn.net/?f=f%3D5%5Cpi%5Ctimes%20103%3D1617.9%5C%20Hz)
![\boxed{f=1617.9\ Hz}](https://tex.z-dn.net/?f=%5Cboxed%7Bf%3D1617.9%5C%20Hz%7D)
(b) The period is the reciprocal of the frequency:
![\displaystyle T=\frac{1}{f}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20T%3D%5Cfrac%7B1%7D%7Bf%7D)
![\displaystyle T=\frac{1}{1617.9\ Hz}=0.000618\ sec](https://tex.z-dn.net/?f=%5Cdisplaystyle%20T%3D%5Cfrac%7B1%7D%7B1617.9%5C%20Hz%7D%3D0.000618%5C%20sec)
Converting to milliseconds
![\boxed{T=0.618\ ms}](https://tex.z-dn.net/?f=%5Cboxed%7BT%3D0.618%5C%20ms%7D)
(c) The amplitude is
![\boxed{A=20 \ Volts}](https://tex.z-dn.net/?f=%5Cboxed%7BA%3D20%20%5C%20Volts%7D)
(d) Phase angle:
![\boxed{\varphi=60^o}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cvarphi%3D60%5Eo%7D)
Explanation:
In order to find out if the keys will reach John or not, we can use the formula of projectile motion to find the maximum height reached by the keys:
H = V²Sin²θ/2g
where,
V = Launch Speed = 18 m/s
θ = Launch Angle = 40°
g = 9.8 m/s²
Therefore,
H = (18 m/s)²[Sin 40°]²/(2)(9.8 m/s²)
H = 6.83 m
Hence, the maximum height that can be reached by the projectile or the keys is greater than the height of John's Balcony(5.33 m).
Therefore, the keys will make it back to John.
The earth's liquid outer core is the major cause of the earth’s magnetic field.
<h3>
What is magnetic field?</h3>
The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, a vector field. A force acting on a charge while it travels through a magnetic field is perpendicular to both the charge's motion and the magnetic field. The magnetic field of a permanent magnet attracts or repels other magnets as well as ferromagnetic elements like iron. A magnetic field that varies with location will also exert a force on a variety of non-magnetic materials by changing the velocity of those particles' outer electrons. Electric currents, like those utilised in electromagnets, and electric fields that change over time produce magnetic fields that surround magnetised things.
To learn more about magnetic field,visit:
brainly.com/question/11514007
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