First, we will get the resultant force:
The direction of the force due to the person's weight is vertically down.
weight of person = 700 newton
Assume that the force exerted by the arms has a vertically upwards direction.
Force exerted by arms = 2*355 = 710 newtons
Therefore, the resultant force = 710 - 700 = 10 newtons (in the vertically upwards direction)
Now, we will get the mass of the person.
weight = 700 newtons
weight = mass * acceleration due to gravity
700 = 9.8*mass
mass = 71.428 kg
Then we will calculate the acceleration of the resultant force:
Force = mass*acceleration
10 = 71.428*acceleration
acceleration = 0.14 m/sec^2
Finally, we will use the equation of motion to get the final speed of the person.
V^2 = U^2 + 2aS where:
V is the final velocity that we need to calculate
U is the initial velocity = 0 m/sec (person starts at rest)
a is the person's acceleration = 0.14 m/sec^2
S is the distance covered = 25 cm = 0.25 meters
Substitute with the givens in the above equation to get the final speed as follows:
V^2 = U^2 + 2aS
V^2 = (0)^2 + 2(0.14)(0.25)
V^2 = 0.07
V = 0.2645 m/sec
Based on the above calculations:
The person's speed at the given point is 0.2645 m/sec
Answer
given,
mass of ball = 5.93 kg
length of the string = 2.35 m
revolve with velocity of 4.75 m/s
acceleration due to gravity = 9.81 m/s²
T cos θ = mg
T cos θ = ![5.93\times 9.81](https://tex.z-dn.net/?f=5.93%5Ctimes%209.81)
T cos θ = 58.17
![T sin \theta =\dfrac{mv^2}{r}](https://tex.z-dn.net/?f=T%20sin%20%5Ctheta%20%3D%5Cdfrac%7Bmv%5E2%7D%7Br%7D)
![T sin \theta =\dfrac{5.93\times 4.75^2}{2.35 sin \theta}](https://tex.z-dn.net/?f=T%20sin%20%5Ctheta%20%3D%5Cdfrac%7B5.93%5Ctimes%204.75%5E2%7D%7B2.35%20sin%20%5Ctheta%7D)
![T sin^2 \theta =56.93](https://tex.z-dn.net/?f=T%20sin%5E2%20%5Ctheta%20%3D56.93)
![sin^2 \theta = 1 - cos^2 \theta](https://tex.z-dn.net/?f=sin%5E2%20%5Ctheta%20%3D%201%20-%20cos%5E2%20%5Ctheta)
![T (1 - cos^2 \theta) =56.93](https://tex.z-dn.net/?f=T%20%281%20-%20cos%5E2%20%5Ctheta%29%20%3D56.93)
![T (1 - (\dfrac{58.17}{T})^2) =56.93](https://tex.z-dn.net/?f=T%20%281%20-%20%28%5Cdfrac%7B58.17%7D%7BT%7D%29%5E2%29%20%3D56.93)
T² - 56.93T - 3383.75 = 0
T = 93.22 N
![cos \theta = \dfrac{58.17}{93.22}](https://tex.z-dn.net/?f=cos%20%5Ctheta%20%3D%20%5Cdfrac%7B58.17%7D%7B93.22%7D)
θ = 51.39°
Yes, atoms need to be equal in protons and electrons
Answer: Wavelength is related to light and also related to energy. The shorter the wavelengths and the higher the frequency corresponds with greater energy. So the longer the wavelengths and lower the frequency results in lower energy. The energy equation is E = hν.
<span>it will be changed by changing the medium of the wave</span>