{"id":339300,"date":"2023-01-06T10:53:33","date_gmt":"2023-01-06T05:23:33","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/the-work-required-to-be-done-to-stop-a-car-of-1500-kg-moving-at-a-velocity-of-60-km-h-is-1-j\/"},"modified":"2025-06-26T18:08:03","modified_gmt":"2025-06-26T12:38:03","slug":"the-work-required-to-be-done-to-stop-a-car-of-1500-kg-moving-at-a-velocity-of-60-km-h-is-1-j","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-work-required-to-be-done-to-stop-a-car-of-1500kg-moving\/","title":{"rendered":"The work required to be done to stop a car of 1500\u00a0kg moving at a velocity of 60\u00a0km\/h\u00a0is [[1]] J"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"The work required to be done to stop a car of 1500\u00a0kg moving at a velocity of 60\u00a0km\/h\u00a0is [[1]] J","custom_permalink":"question\/physics\/the-work-required-to-be-done-to-stop-a-car-of-1500kg-moving\/"},"categories":[],"acf":{"question":"

The work required to be done to stop a car of <\/span>1500<\/mn> kg<\/mi><\/math> moving at a velocity of <\/span>60<\/mn> km<\/mi>\/<\/mo>h <\/mi><\/math>is [[1]] <\/span>J<\/mi><\/math><\/p>

<\/p>

<\/p><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal;font-size:12pt\"><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal;font-size:12pt\">","options":null,"solution":"The work required to be done to stop a car of <\/span>1500<\/mn> kg<\/mi><\/math> moving at a velocity of <\/span>60<\/mn> km<\/mi>\/<\/mo>h <\/mi><\/math>is <\/span>208333<\/mn>.<\/mo>3<\/mn> J<\/mi><\/math>.<\/span>
Given: <\/span>
Mass of the car <\/span>(<\/mo>m<\/mi>)<\/mo><\/math> is <\/span>=<\/mo> <\/mi>1500<\/mn> kg<\/mi><\/math>
The initial velocity of the car <\/span>(<\/mo>u<\/mi>)<\/mo> <\/mi>=<\/mo> <\/mi>60<\/mn> km<\/mi>\/<\/mo>h<\/mi><\/math>
Converting velocity to m\/s:<\/span>
    <\/mi>=<\/mo>60<\/mn>\u00d7<\/mo>1000<\/mn><\/mrow>60<\/mn>\u00d7<\/mo>60<\/mn><\/mrow><\/mfrac><\/math> <\/span>\u21d2<\/mo>=<\/mo>50<\/mn><\/mrow>3<\/mn><\/mrow><\/mfrac>m<\/mi>\/<\/mo>s<\/mi><\/math>
Since the car stops the final velocity of it <\/span>v <\/mi>=<\/mo> <\/mi>0<\/mn> m<\/mi>\/<\/mo>s<\/mi><\/math>
Using the formula <\/span>v<\/mi><\/mrow>2<\/mn><\/mrow><\/msup>=<\/mo>u<\/mi><\/mrow>2<\/mn><\/mrow><\/msup>+<\/mo>2<\/mn>as<\/mi><\/math>
where, acceleration is <\/span>a<\/mi><\/math> and <\/span>s<\/mi><\/math> is displacement<\/span>
 <\/mi>0<\/mn><\/mrow><\/mfenced><\/mrow>2<\/mn><\/mrow><\/msup>=<\/mo>50<\/mn><\/mrow>3<\/mn><\/mrow><\/mfrac>m<\/mi>\/<\/mo>s<\/mi><\/mrow><\/mfenced><\/mrow>2<\/mn><\/mrow><\/msup>+<\/mo>2<\/mn>as<\/mi><\/math>
 <\/mi>2<\/mn>as<\/mi>=<\/mo> <\/mi>-<\/mo>2500<\/mn><\/mrow>9<\/mn><\/mrow><\/mfrac>m<\/mi><\/mrow>s<\/mi><\/mrow><\/mfrac><\/mrow><\/mfenced><\/mrow>2<\/mn><\/mrow><\/msup><\/math>
 as<\/mi>=<\/mo> <\/mi>-<\/mo>2500<\/mn><\/mrow>18<\/mn><\/mrow><\/mfrac>m<\/mi><\/mrow>s<\/mi><\/mrow><\/mfrac><\/mrow><\/mfenced><\/mrow>2<\/mn><\/mrow><\/msup><\/math>
To calculate the work done<\/span>
 W<\/mi>=<\/mo>F <\/mi>\u00d7<\/mo>s<\/mi><\/math>
Where, <\/span>F<\/mi>=<\/mo> force applied<\/mi><\/math>
As <\/span>       F <\/mi>=<\/mo> mass <\/mi>\u00d7<\/mo>acceleration<\/mi><\/math>
 W <\/mi>=<\/mo>m<\/mi>\u00d7<\/mo>a<\/mi><\/mrow><\/mfenced>\u00d7<\/mo>s<\/mi><\/math>
\u21d2<\/mo>W <\/mi>=<\/mo>m <\/mi>\u00d7<\/mo>a<\/mi>\u00d7<\/mo>s<\/mi><\/mrow><\/mfenced><\/math>
\u21d2<\/mo>W<\/mi>=<\/mo>1500<\/mn> kg <\/mi>\u00d7<\/mo>-<\/mo>2500<\/mn><\/mrow>18<\/mn><\/mrow><\/mfrac><\/mrow><\/mfenced>m<\/mi><\/mrow>s<\/mi><\/mrow><\/mfrac><\/mrow><\/mfenced><\/mrow>2<\/mn><\/mrow><\/msup><\/math>
  <\/span> W<\/mi>=<\/mo> <\/mi>-<\/mo>208333<\/mn>.<\/mo>3<\/mn> J<\/mi><\/math>
Negative sign indicates that the direction of work is opposite to the direction of the displacement of the car.<\/span>
 <\/span>","subject":""},"yoast_head":"\nThe work required to be done to stop a car of 1500\u00a0kg moving at a velocity of 60\u00a0km\/h\u00a0is [[1]] J - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"The work required to be done to stop a car of 1500\u00a0kg moving at a velocity of 60\u00a0km\/h\u00a0is [[1]] J\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-work-required-to-be-done-to-stop-a-car-of-1500kg-moving\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The work required to be done to stop a car of 1500\u00a0kg moving at a velocity of 60\u00a0km\/h\u00a0is [[1]] J - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"The work required to be done to stop a car of 1500\u00a0kg moving at a velocity of 60\u00a0km\/h\u00a0is [[1]] J\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-work-required-to-be-done-to-stop-a-car-of-1500kg-moving\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:modified_time\" content=\"2025-06-26T12:38:03+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1008\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"The work required to be done to stop a car of 1500\u00a0kg moving at a velocity of 60\u00a0km\/h\u00a0is [[1]] J - 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