Hello! I have a 10-question multiple-choice homework that's super quick. I'd appreciate your help on it.

Answer each multiple-choice question (questions 1 & 2 are together) Question 1. Mass Hanger A group of students must study the oscillatory motion of a pendulum. One end of a light string is attached to the ceiling, and the other end of the string is attached to a mass hanger so that small disks of various masses may be stacked on the hanger, as shown in the figure. The students perform four experiments, as described. Experiment 1: Determine the relationship between the mass of the pendulum and the period of oscillation. Experiment 2: Determine the relationship between the displacement of the pendulum and the period of oscillation. Experiment 3: Determine the relationship between the period of oscillation and the length of the pendulum. Experiment 4: Determine the relationship between the vertical release height of the hanger-disk system and its speed at the lowest point of its arc. The students collect data to create the graph that is shown, but the horizontal and vertical axes are not labeled. Which experiments could be represented by the graph? A.Experiment 1 and Experiment 2 B. Experiment 1 and Experiment 3 C. Experiment 2 and Experiment 3 D. Experiment 3 and Experiment 4 Question 2: Mass Hanger A group of students must study the oscillatory motion of a pendulum. One end of a light string is attached to the ceiling, and the other end of the string is attached to a mass hanger so that small disks of various masses may be stacked on the hanger, as shown in the figure. The students want to determine how the length of the pendulum affects the period of the pendulum. Which of the following procedures should the students use to conduct the experiment? A. Measure the length of the string with a meterstick. Place two disks on the hanger. Raise the hanger-disk system to a vertical position above its lowest point. Release the system from rest. Use a stopwatch to determine how long it takes the system to make ten oscillations. Repeat the experiment for different vertical heights. B. Measure the length of the string with a meterstick. Place two disks on the hanger. Raise the hanger-disk system to a vertical position above its lowest point. Release the system from rest. Use a stopwatch to determine how long it takes the system to make ten oscillations. Repeat the experiment for different string lengths. C. Measure the length of the string with a meterstick. Place two disks on the hanger. Raise the hanger-disk system to a vertical position above its lowest point. Release the system from rest. Use a stopwatch to determine how long it takes the system to make ten oscillations. Repeat the experiment for different vertical heights and string lengths. D. Measure the length of the string with a meterstick. Place two disks on the hanger. Raise the hanger-disk system to a vertical position above its lowest point. Release the system from rest. Use a stopwatch to determine how long it takes the system to make ten oscillations. Repeat the experiment for different string lengths and number of disks attached to the hanger. Question 3: Three different experiments are conducted that pertain to the oscillatory motion of a pendulum. For each experiment, the length of the pendulum and the mass L of the pendulum are indicated. In all experiments, the pendulum is released from w the same angle with respect to the vertical. Experiment 1 If the students collect data about the kinetic energy of the pendulum as a function of time for each experiment, which of the following claims is true? A. The data collected from Experiment 1 will be the same as the data collected L from Experiment 2. o B. The data collected from Experiment 1 will be the same as the data collected , en 2 from Experiment 3. C. The data collected from Experiment 2 will be the same as the data collected from Experiment 3. D. The data collected from each experiment will be different 2L M Experiment 3 Vertical Position (m) Q. = = R o v o v o Question 4: GRAPH 1 + + + + + + + + + 0.5 1.0 15 2.0 25 3.0 3.5 4.0 45 5.0 55 6.0 65 7.0 Speed (m/s) Time (s) GRAPH 2 0.5 + + 1.0 1.5 Vertical Position (m) 2.0 25 A rope hangs from a tree that is on Earth's surface. Student X holds on to the end of a rope and hangs from rest. Student Y exerts a force onto student X so that student X undergoes simple harmonic motion while hanging onto the rope. Air resistance is considered to be negligible. Graph 1 shows the vertical position of student X as a function of time. Graph 2 shows the speed of student X as a function of the student's vertical position. What is the approximate length of the rope and the mass of the student if the maximum gravitational potential energy of the student-Earth system is 2000 J? Length of Rope (m) 25 Mass of Student (kg) 4 Length of Rope (m) 25 Length of Rope (m) 31 Length of Rope (m) 31 Mass of Student (kg) 82 Mass of Student (kg) M Mass of Student (kg) 82 Question 5: A student must determine how the mass of a block affects the period of oscillation when the block is attached to a vertical spring. The value of the spring constant is known. The student writes the following experimental procedure. Use an electronic balance to measure the mass of the block. Attach the block to the vertical spring. Displace the block from the system's equilibrium position to a new vertical position. Release the block from rest. Use a meterstick to measure the vertical displacement of the center of mass of the block from the system's equilibrium position to its maximum vertical position above the equilibrium position. Use a stopwatch to measure the time it takes for the system to make ten complete oscillations. Repeat the experiment for different vertical displacements and block masses. Which of the following steps of the procedure should the student revise to make the determination? Justify your selection. A. Step 3, because the student must specify whether the new vertical position should be above or below the system's equilibrium position. B. Step 5, because the meterstick should be used to measure total displacement of the system from its lowest vertical position to its highest vertical position. C. Step 6, because the stopwatch should be used only to measure the time it takes for the system to make 1 complete oscillation. D. Step 7, because the experiment should not be repeated for different vertical displacements and block masses. Horizontal Position (m) Velocity (m/s) 10 Question 6: 5 A block on a horizontal surface is attached to a horizontal spring of negligible mass. The other end of the spring is attached to a wall, and there is negligible friction between the block and the horizontal surface. The block-spring system is then placed into simple 10 | { | | | harmonic motion. The figure shows a graph of the 0 . velocity of the block as a function of time. At which of the following times does the block-spring system have maximum spring potential energy? Time (s) A.15s B.20s C.358 D.45s Question 7: " Ablock of mass 0.3 kg on a horizontal surface is attached to a horizontal spring of negligible mass. The other end of the spring is attached to a wall, and there is negligible friction between the block and the horizontal surface. The block-spring system is Time (s) released from rest and undergoes simple harmonic motion. The graph shows the horizontal position of the block as a function of time. How could the student estimate the total mechanical energy of the system by using the graph and the known information about the system? A. Determine the slope of the curve between 0.0 s and 1.0 s. This value represents the average speed of the block between these instants in time. Then use K = /2 mv/2 B. Determine the slope of the curve between 0.2 s and 0.8 s. This value represents the average speed of the block between these instants in time. Then use K = /2 mv/2 C. Determine the slope of the curve between 0.4 s and 0.6 s. This value represents the average speed of the block between these instants in time. Then use K = 72 mv/2 D. Determine the slope of the curve between 0.45 s and 0.55 s. This value represents the average speed of the block between these instants in time. Then use K = /2 mvA2 Question 8 One end of a string is attached to an object of mass M, and the other end of the string is secured so that the object is at rest as it hangs from the string. When the object is raised to a position X that is a height H above its lowest point and released from rest, the object undergoes simple harmonic motion. When the object passes through the equilibrium position Y, it has a speed vo- Which of the following methods could a student use to determine the total mechanical energy E at position Y, and why? Select two answers. E = %]\\Iv;", MgH, because energy changes from kinetic energy to gravitational potential energy as the pendulum swings from position X to position Y. E = MgH %A[v;l,, because energy changes from gravitational potential energy to kinetic energy as the pendulum swings from position X to position Y. E= %J\\Iv, because this equation represents the maximum kinetic energy of the pendulum at position Y if the system has zero gravitational potential energy at position Y. E = MgH, because this equation represents the maximum gravitational potential energy of the system at position X if the system has zero gravitational potential energy at position Y. Question 9: A student attaches a block to a vertical spring of unknown spring constant ko so that the block-spring system will oscillate if the block-spring system is released from rest at a vertical position that is not the system's equilibrium position. The student varies the object's mass and vm (kg) uses a stopwatch to determine the time it takes the object to make one oscillation. The student creates the graph that is shown. The slope of the line of best fit is equal to which of the following quantities? 0.5 1.0 1.5 27!'](50 21k % Question 10: One end of a string is attached to an object of mass 0.5 kg, and the other end of the string is secured so that the object is at rest as it hangs from the string 1.5 m above the ground, as shown in the figure. The object is then pulled to an unknown height above the ground. The object is then released from rest. The speed of the pendulum at the position shown in the figure is 2.0 m/s when it undergoes simple harmonic motion. What is the approximate change in the gravitational potential energy of the pendulum-Earth system from the pendulum's maximum height to the position where its speed is 2.0 m/s? A 1.0J B.2.0J C.75J D.85J