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
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F641d9a25-3d87-485c-a80f-61e7f09f1b46%2Ffe3de2d7-d657-467c-8ed1-e53306ecc0b0%2Fwm3qhlj_processed.jpeg&w=3840&q=75)
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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