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LAB 8 QUIZ-WORK AND ENERGY Answer each question in the space provided below. Sho

ID: 1778078 • Letter: L

Question

LAB 8 QUIZ-WORK AND ENERGY Answer each question in the space provided below. Show all work for partial credit. blank provided. Do not forget to include proper units! Write your solution in the You perform an experiment similar to the lab using a spring cart. The mass of the cart is 0.5 kg. the spring constant is 50.0 N/m, and the distance the spring is displaced is 5 cm. The spring is first used to propel the cart horizontally as in Activity 8.2 and then up an incline as in Activity 8.3. . What is the energy stored in the spring? 2. How much work is required to compress the spring? Hint: Use the work-energy principle! 3. If the spring is used to propel the cart horizontally, what will be the speed of the cart? Hint: Use conservation of energy 4. If the cart were to roll up an inclined track, what would be the change in elevation? Assume g 10 N/kg (ie, 10 m/s) Hint: Use conservation of energy. 5. Now consider an experiment similar to the Activity 8.5, where the spring is used to launch the cart against a friction block. If the cart pushes the block a distance of 20 cm before stopping, what is the average force of kinetic friction? 6. If the spring were to be compressed only have as much (2.5cm), how rmuch energy would be stored? (CO.GNIm) 0.25 m) 2

Explanation / Answer

1. U = k x^2 /2

= (50)(0.05^2) / 2

= 0.0625 J

2. W = 0.0625 J


3. 0.0625 = m v^2 / 2

v = sqrt(2 x 0.0625 / 0.5) = 0.50 m/s


4. 0.0625 = m g h

h = 0.0625 / (0.50 x 9.8)

h = 0.013 m Or 1.3 cm


5. Work done by friction + work done by gravity = change in KE

- 0.20 f + 0.0625 = 0 - 0

f = 0.312 N


6. U = 0.0156 J