#### Impulse & Momentum

Momentum is related to force.  An object with mass m, gains or loses momentum, depending on the direction of the forse, when a force acts on it for a very brief period of time

Mathematically from Newton's Second Law

• The left side of the above  equation is known as the impulse (symbol "J").
• The impulse of an object can be described as the force (that caused the object to change its state of motion) acting on the object for a given period of time.
• Note that impulse is a vector quantity.
• Thus one must also take into account its direction as well as its magnitude.

The unit of j  is the N.s

• The right side of the equation is known as the change in momentum.
• The change in momentum of an object is given the symbol ∆p.
• Momentum is also a vector quantity and can be defined as the mass-velocity product.
• Momentum is sometimes used as an indicator for the inertia of an object.

The unit of ∆p  is the Kg.m/s

In general, for an object in motion, we can say the the impulse is equal to the change in momentum.
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://clickandlearn.org/index.php/courses-2/physics-12-c/56-courses/applied-physics/motion-mechanical-energy/185-impulse-and-momentum", "fetch_time": 1685396566000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2023-23/segments/1685224644913.39/warc/CC-MAIN-20230529205037-20230529235037-00451.warc.gz", "warc_record_offset": 196483003, "warc_record_length": 6287, "token_count": 249, "char_count": 1053, "score": 3.65625, "int_score": 4, "crawl": "CC-MAIN-2023-23", "snapshot_type": "longest", "language": "en", "language_score": 0.9427446126937866, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00055-of-00064.parquet"}