{"id":338742,"date":"2023-01-06T10:34:23","date_gmt":"2023-01-06T05:04:23","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/the-cricket-ball-of-mass-70-g-moving-with-velocity-of-0-5-m-s-is-stopped-by-a-player-in-0-5-second-what-will-be-the-force-applied-by-the-player-to-stop-the-ball\/"},"modified":"2025-06-30T11:01:55","modified_gmt":"2025-06-30T05:31:55","slug":"the-cricket-ball-of-mass-70-g-moving-with-velocity-of-0-5-m-s-is-stopped-by-a-player-in-0-5-second-what-will-be-the-force-applied-by-the-player-to-stop-the-ball","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-cricket-ball-of-mass-70g-moving-with-velocity-of-05m\/","title":{"rendered":"The cricket ball of mass 70\u00a0g moving with velocity of 0.5\u00a0m\/s is stopped by a player in 0.5\u00a0second. What will be the force applied by the player to stop the ball?"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"The cricket ball of mass 70\u00a0g moving with velocity of 0.5\u00a0m\/s is stopped by a player in 0.5\u00a0second. What will be the force applied by the player to stop the ball?","custom_permalink":"question\/physics\/the-cricket-ball-of-mass-70g-moving-with-velocity-of-05m\/"},"categories":[],"acf":{"question":"<p style=\"margin-top:0pt; margin-bottom:0pt; line-height:normal; font-size:12pt\"><span>The cricket ball of mass <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>70<\/mn><mi mathvariant=\"italic\">&nbsp;g<\/mi><\/math><span> moving with velocity of <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>.<\/mo><mn>5<\/mn><mi mathvariant=\"italic\">&nbsp;m<\/mi><mo>\/<\/mo><mi>s<\/mi><\/math><span> is stopped by a player in <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>.<\/mo><mn>5<\/mn><mi mathvariant=\"italic\">&nbsp;second<\/mi><\/math><span>. What will be the force applied by the player to stop the ball?<\/span><\/p><br><pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal;font-size:12pt\"><spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><p><\/p><pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal;font-size:12pt\"><spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><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\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal;font-size:12pt\">","options":[{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>.<\/mo><mn>07<\/mn><mi mathvariant=\"italic\">&nbsp;N<\/mi><\/math>","correct":true},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>.<\/mo><mn>7<\/mn><mi mathvariant=\"italic\">&nbsp;N<\/mi><\/math>","correct":false},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>1<\/mn><mi mathvariant=\"italic\">&nbsp;N<\/mi><\/math>","correct":false},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>2<\/mn><mi mathvariant=\"italic\">&nbsp;N<\/mi><\/math><span>&nbsp;<\/span>","correct":false}],"solution":"<span>The cricket ball of mass <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>70<\/mn><mi mathvariant=\"italic\">&nbsp;g<\/mi><\/math><span> moving with velocity of <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>.<\/mo><mn>5<\/mn><mi mathvariant=\"italic\">&nbsp;m<\/mi><mo>\/<\/mo><mi>s<\/mi><\/math><span> is stopped by a player in <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>.<\/mo><mn>5<\/mn><mi mathvariant=\"italic\">&nbsp;second<\/mi><\/math><span>. The force acting on the cricket ball is <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>.<\/mo><mn>07<\/mn><mi mathvariant=\"italic\">&nbsp;N<\/mi><\/math><span>.<\/span><br><span>Given data in the problem, <\/span><br><span>Velocity of the cricket ball, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"italic\">u&nbsp;<\/mi><mo>=<\/mo><mi>&nbsp;<\/mi><mn>0<\/mn><mo>.<\/mo><mn>5<\/mn><mi mathvariant=\"italic\">&nbsp;m<\/mi><mo>\/<\/mo><mi>s<\/mi><\/math><br><span>Time, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"italic\">t&nbsp;<\/mi><mo>=<\/mo><mi>&nbsp;<\/mi><mn>0<\/mn><mo>.<\/mo><mn>5<\/mn><mi mathvariant=\"italic\">&nbsp;s<\/mi><\/math><br><span>Mass of the cricket ball, <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"italic\">m&nbsp;<\/mi><mo>=<\/mo><mi>&nbsp;<\/mi><mn>70<\/mn><mi mathvariant=\"italic\">&nbsp;g<\/mi><\/math><br><span>And <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>70<\/mn><mi mathvariant=\"italic\">&nbsp;g&nbsp;<\/mi><\/math><span>can be written as<\/span><span>&nbsp; <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>.<\/mo><mn>07<\/mn><mi mathvariant=\"italic\">&nbsp;kg<\/mi><\/math><br><span>Assuming <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"italic\">v&nbsp;<\/mi><mo>=<\/mo><mi>&nbsp;<\/mi><mn>0<\/mn><\/math><br><span>By using the first equation of motion<\/span><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"italic\">v&nbsp;<\/mi><mo>=<\/mo><mi mathvariant=\"italic\">&nbsp;u&nbsp;<\/mi><mo>+<\/mo><mi mathvariant=\"italic\">&nbsp;at<\/mi><\/math><span> <\/span><span>Where,<\/span><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"italic\">v&nbsp;<\/mi><mo>=<\/mo><mi mathvariant=\"italic\">&nbsp;final velocity<\/mi><\/math><span> <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"italic\">u&nbsp;<\/mi><mo>=<\/mo><mi mathvariant=\"italic\">&nbsp;initial velocity<\/mi><\/math><span> <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"italic\">a&nbsp;<\/mi><mo>=<\/mo><mi mathvariant=\"italic\">&nbsp;acceleration<\/mi><\/math><span> <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"italic\">t&nbsp;<\/mi><mo>=<\/mo><mi mathvariant=\"italic\">&nbsp;time<\/mi><\/math><span> <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><mn>0<\/mn><mo>=<\/mo><mn>0<\/mn><mo>.<\/mo><mn>5<\/mn><mo>+<\/mo><mi mathvariant=\"italic\">a&nbsp;<\/mi><mo>\u00d7<\/mo><mi>&nbsp;<\/mi><mn>0<\/mn><mo>.<\/mo><mn>5<\/mn><\/math><span> <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><mi>a<\/mi><mo>=<\/mo><mo>-<\/mo><mfrac><mrow><mn>0<\/mn><mo>.<\/mo><mn>5<\/mn><\/mrow><mrow><mn>0<\/mn><mo>.<\/mo><mn>5<\/mn><\/mrow><\/mfrac><\/math><span> <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><mi mathvariant=\"italic\">a&nbsp;<\/mi><mo>=<\/mo><mo>-<\/mo><mn>1<\/mn><mi mathvariant=\"italic\">&nbsp;m<\/mi><msup><mrow><mi>s<\/mi><\/mrow><mrow><mo>-<\/mo><mn>2<\/mn><\/mrow><\/msup><\/math><span> (Negative sign shows that the acceleration is in negative or say retardation)<\/span><br><span>so, the force exerted in the cricket ball is given by<\/span><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"italic\">Force<\/mi><mo>=<\/mo><mi mathvariant=\"italic\">mass&nbsp;<\/mi><mo>\u00d7<\/mo><mi mathvariant=\"italic\">&nbsp;acceleration&nbsp;<\/mi><\/math><span> <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><mi>F<\/mi><mo>=<\/mo><mn>0<\/mn><mo>.<\/mo><mn>07<\/mn><mi>&nbsp;<\/mi><mo>\u00d7<\/mo><mi>&nbsp;<\/mi><mo>(<\/mo><mn>1<\/mn><mo>)<\/mo><\/math><span> <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u21d2<\/mo><mi>F<\/mi><mo>=<\/mo><mn>0<\/mn><mo>.<\/mo><mn>07<\/mn><\/math><span> <\/span><span>The force acting on the cricket ball is <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>0<\/mn><mo>.<\/mo><mn>07<\/mn><mi mathvariant=\"italic\">&nbsp;N<\/mi><\/math><span>.<\/span><br><a name=\"_s3c78icurlo8\"><\/a><span>&nbsp;<\/span>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The cricket ball of mass 70\u00a0g moving with velocity of 0.5\u00a0m\/s is stopped by a player in 0.5\u00a0second. 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