Examen de Física II URV 2022 · Physics Laboratory Exam 2022-2023

Question 1 (Pract 2). Elastic Limit and Maximum Supported Weight

Consider an unextended spring with an initial length of $1\text{ m}$ and a spring constant of $2\text{ N/m}$ (indicated as $2\text{ N/C}$ in the laboratory notes). Determine the maximum weight that this spring can hold without losing its elastic behavior, given that its elastic limit is reached when it experiences an elongation of $50\%$ of its original length.

Question 2 (Pract 3). Experimental Resonance and Spring Constant Variation

Transcribe the experimental values of period ($T$), angular frequency ($\omega$), and oscillation amplitude recorded during the laboratory session, clearly specifying the resonance angular frequency corresponding to the elongation of the mechanical oscillator. In addition, deduce the new value of the resonance angular frequency if the spring constant were doubled. Justify your answer quantitatively by showing the appropriate expressions.

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Question 3 (Pract 4). Experimental Setup Diagram

Draw the complete schematic diagram representing the experimental setup used during Practice 4.

Question 4 (Pract 5). Error Analysis in Determining Liquid Density

Using the data obtained in the laboratory, justify quantitatively whether the experimental uncertainty related to the weight measurement or that of the diameter measurement has a greater influence when calculating the density of a liquid. Furthermore, determine the additional relative error introduced if $\pi$ is approximated by $3.14$.

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Two point charges, $q_1 = 2\ \mu\text{C}$ and $q_2 = -3\ \mu\text{C}$, are placed at coordinates $(1, 0)\text{ m}$ and $(-1, 0)\text{ m}$, respectively.

Question 5.a - Electric potential

a. Calculate the electric potential at the origin of coordinates $(0, 0)$.

Two point charges, $q_1 = 2\ \mu\text{C}$ and $q_2 = -3\ \mu\text{C}$, are placed at coordinates $(1, 0)\text{ m}$ and $(-1, 0)\text{ m}$, respectively.

Question 5.b - Electric field

b. Find the point along the x-axis (abscissa line) where the net electric field is zero.

Question 6 (Pract 7). Laboratory Circuit Diagram Completion

Complete the circuit diagram corresponding to the setup constructed during Practice 7 in the laboratory.