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Instructions: This exam is based on the three previous labs. It has multiple cho
Instructions: This exam is based on the three previous labs. It has multiple choice questions, data collection, and data analysis.
• The exam is designed to be completed in a single file. The file should be saved as a PDF and submitted through Canvas in the usual way. The file name should be your name.
• The exam should be completed between 2:00 pm – 6:00 pm today, and submitted via Canvas. Late submissions will not be accepted passed 6:30 pm. Please write your full name on the report.
• This is a take home exam. You can use any materials you like, but you are not allowed to communicate with anyone about the exam.
Multiple choice questions:
1. Which of the following statements true about projectiles? Choose all that apply (2 pts)
a. At any point while in the air the horizontal acceleration is 9.8 m/s2.
b. At any point while in the air the vertical acceleration is zero.
c. Projectiles vertical velocity changes at a constant rate.
d. Projectile’s horizontal acceleration is zero.
2. Increasing the difference in mass in Atwood’s machine while keeping the total mass constant and dropping then from the same height, results in: Please choose all that apply (2 pts)
a. A longer time to fall.
b. A larger final velocity.
c. A smaller acceleration of the system.
d. A larger acceleration of the system.
3. You use a ballistic pendulum with a mass of to determine the initial velocity of a steel ball, causing the pendulum to raise from to . Determine the initial velocity of the ball? (3pts)
4. While using the Atwood’s machine with 50g and 100g masses, you dropped the 100g mass from 1m above the floor. How long did it take to reach the floor? (3pts)
5. Measuring the period of oscillations and the spring constant. (20 points total)
Go to the Mass on the Spring Simulation (click the name to access link) and choose the option “Lab”.
• Set the mass to 50g.
• Click on “Unstretched Length” and “Resting Position.”
• Choose the ruler and stopwatch.
• Precision of your measurements will influence your exam score.
Complete the following steps:
Part A Determining the spring constant. (10 pts)
1. For 6 different masses in increments of between 20 and 50g measure the increased in length of the spring . (2 pts)
2. Determine the force by the spring on the mass from the equilibrium condition. (Use (2pts)
Make a table of illustrating these three quantities with masses in kg, increase in length in meters and force by the spring in Newtons. (2 pts)
Insert the table here
3. Make a scatter plot of your Force vs. increase in length in SI units. (2 pts)
Insert your graph here.
4. Obtain the equation for the best fit line, show it in the graph and write it. (1pts)
Equation:
5. From the equation determine the spring constant K in N/kg. (1 pts)
Spring Constant:
Part B. Verifying the value of the spring constant from the period of oscillation. (10 pts)
6. Use the stop watch provide and for the same six masses that you use above measure the time for 5 oscillations. (1pts)
7. Use the time measured above and determine the Period of oscillation for each mass. (1pt)
8. Square the period of oscillation for each mass. (1pt)
9. Create a table showing masses in kg, time for five oscillations and period in seconds and period squared in second squares. (2 pt.)
10. Create a scatter plot of period squared vs. mass, obtain the equation of the best fit line. (2 pts)
11. Determine the spring constant from the slope and its absolute error (2pts)
12. Determine the % difference with the value obtained in part A. (1pts)
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