Final velocity of the mass on an incline?

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SUMMARY

The discussion focuses on calculating the final velocity (vf) of a 9 kg mass sliding down a frictional incline. The incline has a height of 13 cm and an angle of 17°, with a coefficient of friction of 0.2 over a distance of 0.5 m. The mass is initially propelled by a spring with a spring constant of 3.4 N/cm, compressed by 27 cm. The acceleration due to gravity is 9.8 m/s², and the calculations involve applying energy conservation principles and frictional force equations.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with energy conservation principles
  • Knowledge of frictional force calculations
  • Basic proficiency in algebra and trigonometry
NEXT STEPS
  • Calculate the potential energy of the mass at the height of 13 cm
  • Determine the work done against friction over the 0.5 m distance
  • Apply the conservation of energy principle to find the final velocity
  • Explore the effects of varying the coefficient of friction on final velocity
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone interested in understanding the dynamics of motion on inclined planes with friction.

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?

We have a homework template for a reason, please use it!
 

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