A spring lift (I) context You are working on a prototype spring lift. A block is placed at the end of a compressed spring (without being attached to it). The mechanism is triggered, which propels the block up the ramp, towards a roller conveyor. You want to start by testing the effect of the spring. What is the total distance (from its initial position) the block will travel before stopping? Information The mass of the block is known. The block is initially at rest. The angle of inclination of the ramp is known. There is friction between the block and the ramp: the kinetic coefficient of friction is known. The spring constant is known. The initial compression of the spring is known. Schematization Represent the initial and final states of the system, identifying an upward y+ axis for the block. Modelization Creates a model for the distance travelled by the block, based on known parameters only. Then test your model with the following values: Block mass: 10.2 kg Ramp tilt angle: 11 degrees Kinetic coefficient of friction: 0.1 Spring constant (k): 673 N/m Initial spring compression: 0.75 m
A spring lift (I)
context
You are working on a prototype spring lift. A block is placed at the end of a compressed spring (without being attached to it). The mechanism is triggered, which propels the block up the ramp, towards a roller conveyor. You want to start by testing the effect of the spring. What is the total distance (from its initial position) the block will travel before stopping?
Information
The mass of the block is known.
The block is initially at rest.
The angle of inclination of the ramp is known.
There is friction between the block and the ramp: the kinetic coefficient of friction is known.
The spring constant is known.
The initial compression of the spring is known.
Schematization
Represent the initial and final states of the system, identifying an upward y+ axis for the block.
Modelization
Creates a model for the distance travelled by the block, based on known parameters only.
Then test your model with the following values:
Block mass: 10.2 kg
Ramp tilt angle: 11 degrees
Kinetic coefficient of friction: 0.1
Spring constant (k): 673 N/m
Initial spring compression: 0.75 m
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