Question

Q. A 12 kg box slides 4.0 m down the frictionless ramp shown in the figure, then collides with a spring whose spring constant is 260 N/m. (a) What is the maximum compression of the spring? (b) At what compression of the spring does the box have its maximum speed? (Hint: This is a calculus problem) 4.0 m 30°

Name: Q. A 12 kg box slides 4.0 m down the frictionless ramp shown in the figure, then collides with a spring whose spring constant is 260 N/m. (a) What is the maximum compression of the spring? (b) At what compression of the spring does the box have its maximum speed? (Hint: This is a calculus problem) 4.0 m 30°
Uploaded: 2022-04-21T14:10:23-08:00
Duration: 3 min 12 s
Channel: Supratim Pal
Description: Q. A 12 kg box slides 4.0 m down the frictionless ramp shown in the figure, then collides with a spring whose spring constant is 260 N/m. (a) What is the maximum compression of the spring? (b) At what compression of the spring does the box have its maximum speed? (Hint: This is a calculus problem) 4.0 m 30°

          Q. A 12 kg box slides 4.0 m down the frictionless ramp shown in the figure, then collides with a spring whose spring constant is 260 N/m. (a) What is the maximum compression of the spring? (b) At what compression of the spring does the box have its maximum speed? (Hint: This is a calculus problem) 4.0 m 30°

Q. A 12 kg box slides 4.0 m down the frictionless ramp shown in the figure, then collides with a spring whose spring constant is 260 N/m. (a) What is the maximum compression of the spring? (b) At what compression of the spring does the box have its maximum speed? (Hint: This is a calculus problem) 4.0 m 30°

Added by Jose Antonio S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Supratim Pal

04/21/2022

Step 1

Given: Mass of the block, m = 12 kg Height of the ramp, h = 2 m Spring constant, k = 260 N/m Potential energy at the top = Spring potential energy at maximum compression mgh = (1/2)kx^2 Substitute the values: 12 * 9.8 * 2 = (1/2) * 260 * x^2 235.2 = 130x^2 x^2 Show more…

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Q. A 12 kg box slides 4.0 m down the frictionless ramp shown in the figure, then collides with a spring whose spring constant is 260 N/m. (a) What is the maximum compression of the spring? (b) At what compression of the spring does the box have its maximum speed? (Hint: This is a calculus problem)