A square conducting wire, in a plane with an infinitely-long current-carrying wire, is oriented with one of its sides parallel to the long wire. The square is equipped with an ideal battery (which doesn't contribute to the physical dimensions of the square) and exhibits a fixed resistance. It is pulled at a constant speed directly away from the long wire, while remaining in the same plane. The grid lines give an indication of how the dimensions of the square compares to the position of the square relative to the wire at a single moment in time.

aceleración es el cambio de velocidad respecto al cambio de tiempo, esto es: \( =\frac{\Delta v}{\Delta t}=\frac{v-v_{0}}{t-t_{0}} \) Como \( v_{0} \) es la velocidad inicial, en nuestro caso es cero por estar en repos nbién \( t_{0} \) representa el tiempo inicial el cual es de 0 segundos. Por lo anterior la aceleració \( =\frac{v}{t} \quad v=a t \) el caso anterior vimos que la distancia se determina con la fórmula. stancia \( =\int_{a}^{b} v d t \quad \) como \( v=a t \) stancia \( =\int_{0}^{8} a t d t \) pero \( a=\frac{40 \frac{m}{s}}{8 s}=5 \frac{m}{s^{2}} \) entonces distancia \( =\int_{0}^{8} 5 \frac{m}{s^{2}} t d t \) suelve la integral y encuentra la distancia recorrida en ese intervalo de tiempo. Ialmente, en la gráfica comprueba que la distancia recorrida representa el área bajo la rec ea= (base)(altura)/2.

4. Un auto adquiere una velocidad de \( 50 \mathrm{~km} / \mathrm{h} \) al poniente en 3.5 s . ¿Cuál es aceleración en \( \mathrm{m} / \mathrm{s}^{2} \) ?

Andrea corre i 100 m col tempo di \( (13450 \pm 8) \mathrm{ms} \). Il suo tempo di reazione ai blocchi di partenza è \( (0,26 \pm 0,03) \mathrm{s} \). Calcola il tempo effettivo impiegato da Andrea per coprire la distanza di 100 m .

Find the current through section \( P Q \) of length \( a=62.0 \mathrm{~cm} \) shown in Figure P31.11. The circuit is located in a magnetic field whose magnitude varies with time according to the expression \( B=\left(1.00 \times 10^{-3} \mathrm{~T} / \mathrm{s}\right) t \). Assume the resistance per length of the wire is \( 0.098 \Omega / \mathrm{m} \). Magnitude

To monitor the breathing of a hospital patient, a thin belt is girded around the patient's chest. The belt is a 200-turn coil. When the patient inhales, the area encircled by the coil increases by \( 45.0 \mathrm{~cm}^{2} \). The magnitude of the Earth's magnetic field is \( 50.0 \mu \mathrm{~T} \) and makes an angle of \( 28.0^{\circ} \) with the plane of the coil. Assuming a patient takes 1.89 s to inhale, find the average induced emf in the coil during this time interval. 21.02