text: Work Energy Theorem
  Question
  
  # A sphere of mass 2 kg is moving on a frictionless horizontal table with velocity v. It strike with a spring of constant 1 N/m and compresses it by 4 m. The velocity (v) of the sphere is :
  
  Moderate
  Solution
  
  ## As per work energy theorem  ${\mathrm{w}}_{\mathrm{sp}}=\mathrm{\Delta K}.\mathrm{E}$$⇒\frac{1}{2}{\mathrm{Kx}}^{2}=\frac{1}{2}{\mathrm{mv}}^{2}$$⇒\mathrm{v}=\sqrt{\frac{\mathrm{K}}{\mathrm{m}}}\mathrm{x}$$=\sqrt{\frac{1}{2}}.4=2\sqrt{2}\text{\hspace{0.17em}}\mathrm{m}/\mathrm{s}$
  
  Get Instant Solutions
explanation: The document contains a physics problem related to the Work Energy Theorem. It presents a question about the velocity of a sphere after compressing a spring, followed by a detailed solution to the problem.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Work Energy Theorem
  Question
  
  # A sphere of mass 2 kg is moving on a frictionless horizontal table with velocity v. It strike with a spring of constant 1 N/m and compresses it by 4 m. The velocity (v) of the sphere is :
  
  Moderate
  Solution
  
  ## As per work energy theorem  ${\mathrm{w}}_{\mathrm{sp}}=\mathrm{\Delta K}.\mathrm{E}$$⇒\frac{1}{2}{\mathrm{Kx}}^{2}=\frac{1}{2}{\mathrm{mv}}^{2}$$⇒\mathrm{v}=\sqrt{\frac{\mathrm{K}}{\mathrm{m}}}\mathrm{x}$$=\sqrt{\frac{1}{2}}.4=2\sqrt{2}\text{\hspace{0.17em}}\mathrm{m}/\mathrm{s}$
  
  Get Instant Solutions
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a physics problem related to the Work Energy Theorem. It presents a question about the velocity of a sphere after compressing a spring, followed by a detailed solution to the problem.
  
  Label: question-and-answer