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The figure shows a top view of a 50 kg horizontal uniform disk with a radius of 2 m that can rotate about a vertical axis through its center. The disk is initially at rest. A 20 kg point mass is moving at a speed of 30 m/s along a path that is tangent to the rim of the disk. At a certain moment, the point mass contacts the rim at point P and becomes attached to the disk. Determine the linear (tangential) speed of the point mass immediately after it becomes attached. Express your answer in m/s.

Box A with mass 2 kg, initially moving along a straight line with a velocity of +5 m/s, experiences an impulse due to an external force. The graph below shows the magnitude of the force applied to the box as a function of time. F2 = 100 N, F3 = 40 N, t2 = 0.2 s, and t3 = 0.5 s. Determine the final speed of the box after the force has been applied. Express your answer in meters per second (m/s).

Objects A and B are made of the same material with a density of [rho1] kg/m³. Object A is fully submerged in an unknown liquid, and object B is placed on top of A such that only a fraction [f] of object B is submerged. Given that the density of the unknown liquid is [rho2] kg/m³ and the volume of object B is [vB] m3, determine the volume (in m³) of object A.

A string is stretched between two fixed points, producing transverse waves when plucked. The string has a length of 8 m and a mass of [m] kg. The figure displays a segment of the wave along the x-y plane at t = 0. A = 0.5 m and x3= [x3] m. If the string oscillates at a frequency of [f] Hz, determine the tension in the string in newtons. [Hint: the wavelength can be determined from the x-y graph.]

A frictionless pulley has the shape of a uniform solid disk with a mass of 4 kg and a radius of 0.2 m. A box of mass 4 kg is attached to a very light string that is wrapped around the rim of the pulley. The system is released from rest. Determine the magnitude of the linear acceleration of the box in m/s².

A 0.45 kg mass is resting on a vertically oscillating platform. The platform undergoes simple harmonic motion. The displacement-time graph of the platform’s motion is shown in the figure. t2= [t2] s. Determine the maximum oscillation amplitude that allows the mass to stay in contact with the platform at all times. [Hint: the supporting (normal) force becomes zero when the mass is about to lose contact with the platform. Consider that the maximum force in SHM is Fmax = m × amax.]

An enclosed container is filled with an unknown gas, an unknown liquid, and water. h1= [h1] m and h2 = [h2] m. Given that the density of the unknown liquid is 780 kg/m³, the density of water is 1000 kg/m³, and the pressure of the gas is Pgas = [Pgas] × 104 Pa, determine the pressure at the bottom of the container in Pa.

What emotion primarily drove Douglass’s desire to learn how to read?

How did Douglass characterize the institutional religion among slaveholders?

Who was Mr. Covey?