Solve Block on an Incline: Net Force, Accel, Speed in 9 m/s

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SUMMARY

The discussion focuses on a physics problem involving an 11.4-kg block released from rest on a frictionless incline at a 47° angle. The net force acting on the block is calculated using Newton's second law, resulting in a force of approximately 80.4 N. The acceleration of the block is determined to be 7.0 m/s². Finally, it takes approximately 1.29 seconds for the block to reach a speed of 9 m/s.

PREREQUISITES
  • Newton's Second Law of Motion
  • Basic trigonometry for calculating forces on an incline
  • Understanding of acceleration and kinematics
  • Concept of frictionless surfaces in physics
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  • Study the application of Newton's laws in different scenarios
  • Learn about inclined plane problems in classical mechanics
  • Explore kinematic equations for uniformly accelerated motion
  • Investigate the effects of friction on inclined planes
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Students of physics, educators teaching mechanics, and anyone interested in solving problems related to forces and motion on inclined planes.

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[SOLVED] Block on an incline

A 11.4-kg block is released from rest on a frictionless track inclined at an angle of 47°. (a) What is the net force on the block after it is released? (b) What is the acceleration of the block? (c) If the block is released from rest, how long will it take for the block to attain a speed of 9 m/s?

I have been working on this problem but for some reason I must have an error somewhere, can anyone show me the correct answers.
 
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If you show us your solution we can maybe find the error.
 

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