Concept explainers
Spring drive!
context
A block is placed at the end of a compressed spring (without being attached to it). We release the block, it is propelled towards a rough surface. What total distance (from its initial position) will the block travel before stopping?
Information
The mass of the block is known.
The block is initially at rest.
There is no friction up to a distance D.
From a distance D, the ground becomes rough: the coefficient of kinetic friction is known.
The spring constant is known.
The initial compression of the spring is known.
Schematization
Represents the initial and final states of the system, identifying an upward y+ axis for the block.
Modelization
Creates a model for the distance traveled by the block, based on known parameters only.
Then test your model with the following values:
Block mass: 18.1 kg
Distance before rough part (D): 3.4 m
Kinetic coefficient of friction: 0.24
Spring constant (k): 84 N/m
Initial spring compression: 0.5 m
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