Help me solve this equation please -- Roller Coaster Motion

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SUMMARY

The discussion focuses on solving a physics problem involving a sled with a mass of 100 kg descending a frictionless ramp from a height of 12.2 m to a height of 4.58 m. The key concept is the conservation of energy, where potential energy is converted into kinetic energy. The correct speed of the sled at point 3 is determined to be 6.77 m/s, corresponding to option (A). Resources provided include links to educational materials on potential energy and kinetic energy.

PREREQUISITES
  • Understanding of conservation of energy principles in physics
  • Knowledge of potential energy and kinetic energy equations
  • Familiarity with gravitational acceleration (g = 10.0 m/s²)
  • Basic kinematics concepts related to velocity
NEXT STEPS
  • Study the conservation of energy in mechanical systems
  • Learn how to calculate potential energy and kinetic energy
  • Explore problems involving energy conversion in physics
  • Investigate the effects of friction on energy conservation
USEFUL FOR

Students studying physics, educators teaching energy concepts, and anyone interested in solving mechanics problems related to energy conservation.

Purpleshinyrock
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Homework Statement
I need help understanding this exercise
Relevant Equations
dont know
Hello. Can someone tell me what area of phisics should I study to better understand this exercise( I ve been looking at kinematics since it asks for the velocity but I can't seem to find where it talks about different points like this) and also what should I do to solve this exercise please?
A sled with a mass equal to 100 kg departs from rest at point 1 ( h 1 = 12.2 m) and descends figure ramp, without friction.
Screenshot_2021-04-01 M23 - Fis_Qui_Aluno_int_ProvaModelo_vfinal pdf.png

What is the speed of the sled when it reaches point 3, at a height h 3 = 4.58m?

(Use g = 10.0 m ∙ s -2 ).

□ (A) v 3 = 6.77 m ∙ s -1

□ (B) v 3 = 8.73 m ∙ s -1

□ (C) v 3 = 12.35 m ∙ s -1

□ (D) v 3 = 15.62 m ∙ s -1

□ (E) v 3 = 152.40 m ∙ s -1
 
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Conservation of energy
 
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pasmith said:
Conservation of energy
thank you Sir
 

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