Car A of mass 1200kg traveling at 10m/s , collided in too the back of the car B, which is stationary. Following the collision,. The two cars

Question

Car A of mass 1200kg traveling at 10m/s , collided in too the back of the car B, which is stationary. Following the collision,. The two cars stick together and travel at 6m/s. What is the mass of a car B?

in progress 0
6 months 2021-08-04T13:08:52+00:00 2 Answers 0 views 0

Explanation:

Caraofmass1200kg

Car B has a mass of 800 kg.

General Formulas and Concepts:

Momentum

Law of Conservation of Momentum:

Explanation:

Step 1: Define

Identify variables

[Given] m₁ = 1200 kg

[Given] v₁i = 10 m/s

[Solve] m₂

[Given] v₂i = 0 m/s

[Given] vf = 6 m/s

Step 2: Solve for m₂

1. Substitute in variables [Law of Conservation of Momentum]:                       (1200 kg)(10 m/s) + m₂(0 m/s) = (1200 kg + m₂)(6 m/s)
2. Multiply:                                                                                                             12000 kg · m/s = (1200 kg + m₂)(6 m/s)
3. Isolate m₂ term:                                                                                                2000 kg = 1200 kg + m₂
4. Isolate m₂:                                                                                                         800 kg = m₂
{"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://documen.tv/question/car-a-of-mass-1200kg-traveling-at-10m-s-collided-in-too-the-back-of-the-car-b-which-is-stationar-23659944-82/", "fetch_time": 1653416428000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2022-21/segments/1652662573189.78/warc/CC-MAIN-20220524173011-20220524203011-00598.warc.gz", "warc_record_offset": 267552696, "warc_record_length": 16281, "token_count": 348, "char_count": 1300, "score": 4.25, "int_score": 4, "crawl": "CC-MAIN-2022-21", "snapshot_type": "longest", "language": "en", "language_score": 0.40962743759155273, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00057-of-00064.parquet"}