Answer:
P = 1333.33 N
Explanation:
The pressure exerted by the boy on the floor can be calculated by the following equation:
![P = \frac{F}{A}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7BF%7D%7BA%7D)
where,
P = Pressure exerted by the boy = ?
F = Force Applied = Weight of Boy = 40 kg = 40 N (since 1 kg = 1N)
A = Area of application of force = 2(Area of one show) = 2(6 cm x 25 cm)
A = 2(0.06 m x 0.25 m) = 0.03 m²
Therefore,
![P = \frac{40\ N}{0.03\ m^2}\\\\](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B40%5C%20N%7D%7B0.03%5C%20m%5E2%7D%5C%5C%5C%5C)
<u>P = 1333.33 N</u>
Complete Question
The complete question is shown on the first uploaded image
Answer:
The maximum emf is ![\epsilon_{max}= 26.8 V](https://tex.z-dn.net/?f=%5Cepsilon_%7Bmax%7D%3D%2026.8%20V)
The emf induced at t = 1.00 s is ![\epsilon = 24.1V](https://tex.z-dn.net/?f=%5Cepsilon%20%3D%2024.1V)
The maximum rate of change of magnetic flux is ![\frac{d \o}{dt}|_{max} =26.8V](https://tex.z-dn.net/?f=%5Cfrac%7Bd%20%5Co%7D%7Bdt%7D%7C_%7Bmax%7D%20%20%3D26.8V)
Explanation:
From the question we are told that
The number of turns is N = 44 turns
The length of the coil is ![l = 15.0 cm = \frac{15}{100} = 0.15m](https://tex.z-dn.net/?f=l%20%3D%2015.0%20cm%20%3D%20%5Cfrac%7B15%7D%7B100%7D%20%3D%200.15m)
The width of the coil is ![w = 8.50 cm =\frac{8.50}{100} =0.085 m](https://tex.z-dn.net/?f=w%20%3D%208.50%20cm%20%3D%5Cfrac%7B8.50%7D%7B100%7D%20%3D0.085%20m)
The magnetic field is ![B = 745 \ mT](https://tex.z-dn.net/?f=B%20%3D%20745%20%5C%20mT)
The angular speed is ![w = 64.0 rad/s](https://tex.z-dn.net/?f=w%20%3D%2064.0%20rad%2Fs)
Generally the induced emf is mathematically represented as
![\epsilon = \epsilon_{max} sin (wt)](https://tex.z-dn.net/?f=%5Cepsilon%20%3D%20%5Cepsilon_%7Bmax%7D%20sin%20%28wt%29)
Where
is the maximum induced emf and this is mathematically represented as
![\epsilon_{max} = N\ B\ A\ w](https://tex.z-dn.net/?f=%5Cepsilon_%7Bmax%7D%20%3D%20N%5C%20B%5C%20A%5C%20w)
Where
is the magnetic flux
N is the number of turns
A is the area of the coil which is mathematically evaluated as
![A = l *w](https://tex.z-dn.net/?f=A%20%3D%20l%20%2Aw)
Substituting values
![A = 0.15 * 0.085](https://tex.z-dn.net/?f=A%20%3D%200.15%20%2A%200.085)
![= 0.01275m^2](https://tex.z-dn.net/?f=%3D%200.01275m%5E2)
substituting values into the equation for maximum induced emf
![\epsilon_{max} = 44* 745 *10^{-3} * 0.01275 * 64.0](https://tex.z-dn.net/?f=%5Cepsilon_%7Bmax%7D%20%3D%2044%2A%20745%20%2A10%5E%7B-3%7D%20%2A%200.01275%20%2A%2064.0)
![\epsilon_{max}= 26.8 V](https://tex.z-dn.net/?f=%5Cepsilon_%7Bmax%7D%3D%2026.8%20V)
given that the time t = 1.0sec
substituting values into the equation for induced emf ![\epsilon = \epsilon_{max} sin (wt)](https://tex.z-dn.net/?f=%5Cepsilon%20%3D%20%5Cepsilon_%7Bmax%7D%20sin%20%28wt%29)
![\epsilon = 26.8 sin (64 * 1)](https://tex.z-dn.net/?f=%5Cepsilon%20%3D%2026.8%20sin%20%2864%20%2A%201%29)
![\epsilon = 24.1V](https://tex.z-dn.net/?f=%5Cepsilon%20%3D%2024.1V)
The maximum induced emf can also be represented mathematically as
![\epsilon_{max} = \frac{d \o}{dt}|_{max}](https://tex.z-dn.net/?f=%5Cepsilon_%7Bmax%7D%20%3D%20%5Cfrac%7Bd%20%5Co%7D%7Bdt%7D%7C_%7Bmax%7D)
Where
is the magnetic flux and
is the maximum rate at which magnetic flux changes the value of the maximum rate of change of magnetic flux is
![\frac{d \o}{dt}|_{max} =26.8V](https://tex.z-dn.net/?f=%5Cfrac%7Bd%20%5Co%7D%7Bdt%7D%7C_%7Bmax%7D%20%20%3D26.8V)
Answer:
all of the above
Explanation:
- a build up of electric charge
- the force and motion of electrically charged particles
- an electric current
are three different ways to describe electricity.
So the answer is all of the above.
All of the elements are made up of atoms. Every atom is made up of 3 subatomic particles known as the electrons, protons and neutrons. Electrons are negatively charged particles while the protons are the positively-charged particles. Lastly, neutrons do not have any charge.