Final velocity of the mass on an incline?

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To find the final velocity of a 9 kg mass sliding down a frictional incline, the spring's potential energy must first be calculated using its spring constant and compression distance. The incline's height and angle, along with the gravitational acceleration, are also critical for determining the potential energy conversion to kinetic energy. The frictional force acting over the 0.5 m section must be factored in, as it will reduce the mass's final velocity. Relevant equations include energy conservation principles and friction calculations. The final velocity can be determined by solving these equations systematically.
titolydia
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A spring with a spring-constant 3.4 N/cm
is compressed 27 cm and released. The 9 kg
mass skids down the frictional incline of height
13 cm and inclined at a 17◦ angle.
The acceleration of gravity is 9.8 m/s2 .
The path is frictionless except for a dis-
tance of 0.5 m along the incline which has a
coefficient of friction of 0.2.


What is the final velocity vf of the mass?
 
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titolydia said:
A spring with a spring-constant 3.4 N/cm
is compressed 27 cm and released. The 9 kg
mass skids down the frictional incline of height
13 cm and inclined at a 17◦ angle.
The acceleration of gravity is 9.8 m/s2 .
The path is frictionless except for a dis-
tance of 0.5 m along the incline which has a
coefficient of friction of 0.2.


What is the final velocity vf of the mass?
What have you tried thus far? What are the relevant equations?

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