**Wire Problem:**

Wire A has length [tex]L_a[/tex] and cross-sectional area [tex]A_a[/tex]. Wire B has length [tex]L_b[/tex] and cross-sectional area [tex]A_b[/tex]. They are made of the same material, but wire A has a smaller spring constant. Which one of the following is not possible?

A. [tex]L_a > L_b[/tex] and [tex]A_a < A_b[/tex]
B. [tex]L_a < L_b[/tex] and [tex]A_a > A_b[/tex]
C. [tex]L_a > L_b[/tex] and [tex]A_a = A_b[/tex]
D. [tex]L_a = L_b[/tex] and [tex]A_a < A_b[/tex]
E. [tex]\frac{A_a}{L_a} < \frac{A_b}{L_b}[/tex]

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**Thermal Contact Problem:**

Solid substance X has mass [tex]m_x[/tex], mass-specific heat capacity [tex]c_x[/tex], and initial temperature 300 K. Solid substance Y has mass [tex]m_y[/tex], mass-specific heat capacity [tex]c_y[/tex], and initial temperature 350 K. When they come into thermal contact, the final equilibrium temperature is 310 K. No change of phase occurs. Which one of the following is not possible?

A. [tex]m_x > m_y[/tex] and [tex]c_x > c_y[/tex]
B. [tex]m_x < m_y[/tex] and [tex]c_x > c_y[/tex]
C. [tex]m_x = m_y[/tex] and [tex]c_x > c_y[/tex]
D. [tex]m_x < m_y[/tex] and [tex]c_x[/tex]
E. [tex]m_x > m_y[/tex] and [tex]c_x = c_y[/tex]

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**Motion Problem:**

An object of mass 2.00 kg is moving horizontally in the positive x direction. The initial position is [tex]x_0 = 55.0 \, \text{m}[/tex], initial velocity is [tex]v_0 = 5.00 \, \text{m/s}[/tex], and final velocity is [tex]v_1 = 3.00 \, \text{m/s}[/tex]. During this time, 4.00 J are transferred to the air by drag, and a constant force [tex]F = -0.200 \, \text{N}[/tex] (i.e., magnitude 0.200 N in the negative x direction) is applied. Find the final position [tex]x_1[/tex].