A 0.25 kg block is released from rest on a frictionless ramp from a height of 2.0 m above the 4. ground. At the bottom of the ramp at ground level the block runs into and compresses a spring with spring constant k = 10.0 N/m. (a) How far does the spring compress upon the block's collision? (b) How far would the spring compress if instead the block were to lose 10% of its original mechanical energy due to friction with the ramp?
A 0.25 kg block is released from rest on a frictionless ramp from a height of 2.0 m above the 4. ground. At the bottom of the ramp at ground level the block runs into and compresses a spring with spring constant k = 10.0 N/m. (a) How far does the spring compress upon the block's collision? (b) How far would the spring compress if instead the block were to lose 10% of its original mechanical energy due to friction with the ramp?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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Transcribed Image Text:**Problem Statement:**
A 0.25 kg block is released from rest on a frictionless ramp from a height of 2.0 m above the ground. At the bottom of the ramp at ground level, the block runs into and compresses a spring with a spring constant \( k = 10.0 \, \text{N/m} \).
(a) How far does the spring compress upon the block's collision?
(b) How far would the spring compress if instead the block were to lose 10% of its original mechanical energy due to friction with the ramp?
**Diagram Explanation:**
The diagram illustrates a curved frictionless ramp with a block positioned at the top. At the base of the ramp, there is a horizontal spring. The block will descend the ramp and compress the spring upon collision. The ramp is curved, indicating a smooth path of descent for the block to the spring located at the ground level at the end of the ramp.
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