Question

When a 50 g mass is attached to a vertical spring, the spring's length is 35 cm. When an 85 g mass is attached to the spring, its length is 45 cm. (a) What is the unstretched length of the spring? (b) What is the stiffness constant k of the spring?

Name: when a 50 g mass is attached to a vertical spring the springs length is 35 cm when a 85 g mass is attached to the spring its length is 45 cm a what is the unstretched length of the spring b 27285
Uploaded: 2022-09-11T07:11:14-08:00
Duration: 3 min 29 s
Channel: Prabhu Ramji
Description: when a 50 g mass is attached to a vertical spring the springs length is 35 cm when a 85 g mass is attached to the spring its length is 45 cm a what is the unstretched length of the spring b 27285

          When a 50 g mass is attached to a vertical spring, the spring's length is 35 cm. When an 85 g mass is attached to the spring, its length is 45 cm. (a) What is the unstretched length of the spring? (b) What is the stiffness constant k of the spring?

Added by Hugo J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Prabhu Ramji

09/11/2022

Step 1

35 \, m\) \(m_1 = 50 \, g = 0.05 \, kg\) \(g = 9.8 \, m/s^2\) \(k = 3.43 \, N/m\) Plugging in the values: \(l_0 = \frac{0.35 - 0.05 \cdot 9.8}{3.43}\) \(l_0 = \frac{0.35 - 0.49}{3.43}\) \(l_0 = \frac{-0.14}{3.43}\) \(l_0 \approx -0.0408 \, m\) Show more…

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When a 50 g mass is attached to a vertical spring, the spring's length is 35 cm. When an 85 g mass is attached to the spring, its length is 45 cm. (a) What is the unstretched length of the spring? (b) What is the stiffness constant k of the spring?