Determining a Spring Constant Gizmo

2025/5/10 15:59  Determining a Spring Constant Gizmo : ExploreLearning ASSESSMENT QUESTIONS: Print Page SELINA M Q1 Q2 Q3 Q4 Q5 SCORE Current Results NOT      5/5 Saved You have already taken this assessment Questions & Answers 1. The two diagrams below show a spring, first with no masses hanging from it and then with the pan and mass D hanging from it. How much is the spring stretched by the addition of the pan and mass D? A. 1.6 cm B. 5 cm C. 6.6 cm D. 11.6 cm Correct Answer: A. 1.6 cm Explanation: When the spring has no masses hanging from it, the end of the spring is at 5 cm on the ruler. With the pan and mass D hanging from it, the end of the spring is at about 6.6 cm. The difference is 1.6 cm. 1/5 2025/5/10 15:59 Determining a Spring Constant Gizmo : ExploreLearning 6.6 cm − 5 cm = 1.6 cm You answered this question correctly! 2. The two diagrams below show a spring that is unstretched and one with a mass of 40 grams hanging from it. How far will the spring stretch with a mass of 80 grams hanging from it? A. 1.09 cm B. 2.18 cm C. 4.36 cm D. 12.18 cm Correct Answer: B. 2.18 cm Explanation: For an ideal spring there is a linear relationship between the mass and the distance stretched. When 40 grams are added to this spring, the length of the spring increases from 5.0 cm to just over 6.0 cm. Therefore the total stretch with 40 grams of mass is just over one cm. When the mass is doubled to 80 grams, the spring will stretch twice as much, which will be a stretch of just over two cm. You answered this question correctly! 2/5 2025/5/10 15:59 Determining a Spring Constant Gizmo : ExploreLearning 3. Which of the following graphs represents the stiffest spring? A. Graph A B. Graph B C. Graph C D. There is not enough information to determine this. Correct Answer: C. Graph C Explanation: The steeper the slope is on a graph of force vs. stretch, the stiffer the spring is. Graph C has the steepest slope. Therefore it represents the stiffest spring. Another way to think of this is, how much force does it take to stretch each spring 1 cm? Estimating from the graphs, you can see that, in Graph A, it would require a force of about 0.1 N to stretch the spring 1 cm. In Graph B, it would require a force of about 0.3 N to stretch the spring 1 cm. In Graph C, it would require a force of about 0.75 N to stretch the spring 1 cm. Since the spring represented in Graph C requires the most force to cause a stretch of 1 cm, it must be the stiffest spring. (Therefore, it would also have the largest spring constant.) You answered this question correctly! 4. The graph below represents the stretch of a spring under different amounts of force. How much force would have to be applied to the spring to cause it to stretch a distance of 3 cm from its resting position? 3/5 2025/5/10 15:59 Determining a Spring Constant Gizmo : ExploreLearning A. 0.2 N B. 0.5 N C. 1 N D. 1.5 N Correct Answer: D. 1.5 N Explanation: The line represents the relationship between force and stretch for this spring. The point on this line where stretch is equal to 3 cm corresponds to a force of 1.5 N. This corresponds with the point (3, 1.5) on the graph. You answered this question correctly! 5. What mass would have to be hung from the spring represented by the graph below to stretch it a distance of 6 cm? (Remember, mass in grams can be converted to force in Newtons by multiplying the mass by 0.0098 N/g.) Assume that the blue arrow is pointing to the point (6, 0.98). 4/5 2025/5/10 15:59 Determining a Spring Constant Gizmo : ExploreLearning A. 1 g B. 70 g C. 100 g D. 160 g Correct Answer: C. 100 g Explanation: Referring to the graph, you can determine that it takes a force of just less than 1 N (exact value is 0.98 N) to stretch the spring by 6 cm. If force and mass are related by the equation: F = (0.0098)m then mass is given by the following equation: m = F 0.0098 The mass, then, must be equal to about 100 g. m = 0.98 0.0098 = 100 You answered this question correctly! 5/5