1: a machine makes our work easier
2: a machine can help us find important information
3: a machine can help us transport from a place to another
Answer:
(a) E= 3.36×10−2 V +( 3.30×10−4 V/s3 )t3
(b) 
Explanation:
Given:
- radius if the coil,

- no. of turns in the coil,

- variation of the magnetic field in the coil,

- resistor connected to the coil,

(a)
we know, according to Faraday's Law:

where:
change in associated magnetic flux

where:
A= area enclosed by the coil
Here




So, emf:
![emf= 520\times \frac{d}{dt} [((1.2\times 10^{-2})t+(3.45\times 10^{-5})t^4)\times 0.0049]](https://tex.z-dn.net/?f=emf%3D%20520%5Ctimes%20%5Cfrac%7Bd%7D%7Bdt%7D%20%5B%28%281.2%5Ctimes%2010%5E%7B-2%7D%29t%2B%283.45%5Ctimes%2010%5E%7B-5%7D%29t%5E4%29%5Ctimes%200.0049%5D)
![emf= 520\times 0.0049\times \frac{d}{dt} [(1.2\times 10^{-2})t+(3.45\times 10^{-5})t^4)]](https://tex.z-dn.net/?f=emf%3D%20520%5Ctimes%200.0049%5Ctimes%20%5Cfrac%7Bd%7D%7Bdt%7D%20%5B%281.2%5Ctimes%2010%5E%7B-2%7D%29t%2B%283.45%5Ctimes%2010%5E%7B-5%7D%29t%5E4%29%5D)
![emf= 2.548\times [0.012+(13.8\times 10^{-5})t^3)]](https://tex.z-dn.net/?f=emf%3D%202.548%5Ctimes%20%5B0.012%2B%2813.8%5Ctimes%2010%5E%7B-5%7D%29t%5E3%29%5D)

(b)
Given:

Now, emf at given time:

∴Current



Ina vacuum, it is a constant value that does not depend on the observer.
Her displacement is 41m. First, she walks 32m to the right, then 12m to the left. I subtract 12 from 32 to get 20m. She walks 28m to the right. Add 28 to 20 and you get 48. Finally, she walks 7m to the left. Subtract 7, then you get 41m.
Answer:
<em>709.5 cal</em>
<em></em>
Explanation:
masa m de la barra de aluminio = 100 g
temperatura ambiente = 27 ° C
<em>Asumiremos que la barra de aluminio está en equilibrio térmico con el ambiente.
</em>
Esto significa que la temperatura inicial de la barra es de 27 ° C
temperatura final a la que la barra debe calentarse = 60 ° C
el aumento de temperatura ΔT será
ΔT = 60 ° C - 27 ° C = 33 ° C
capacidad calorífica específica c del aluminio = 0.215 cal/g°C
Calor C requerido = mcΔT
<em>C = 100 x 0.215 x 33 = 709.5 cal</em>