{"id":338817,"date":"2023-01-06T10:36:59","date_gmt":"2023-01-06T05:06:59","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-bullet-of-10-g-strikes-a-sand-bag-at-speed-of-103-m-s-and-gets-embedded-after-travelling5-cm-the-time-taken-by-the-bullet-to-stop-is-1-sec\/"},"modified":"2025-06-26T17:55:01","modified_gmt":"2025-06-26T12:25:01","slug":"a-bullet-of-10-g-strikes-a-sand-bag-at-speed-of-103-m-s-and-gets-embedded-after-travelling5-cm-the-time-taken-by-the-bullet-to-stop-is-1-sec","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-bullet-of-10g-strikes-a-sand-bag-at-speed-of-103ms-and\/","title":{"rendered":"A bullet of 10\u00a0g strikes a sand-bag at speed of 103\u00a0m\/s, and gets embedded after travelling5\u00a0cm. The time taken by the bullet to stop is [[1]] sec."},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A bullet of 10\u00a0g strikes a sand-bag at speed of 103\u00a0m\/s, and gets embedded after travelling5\u00a0cm. The time taken by the bullet to stop is [[1]] sec.","custom_permalink":"question\/physics\/a-bullet-of-10g-strikes-a-sand-bag-at-speed-of-103ms-and\/"},"categories":[],"acf":{"question":"

A bullet of <\/span>10<\/mn> g<\/mi><\/math> strikes a sand-bag at speed of <\/span>10<\/mn><\/mrow>3<\/mn><\/mrow><\/msup> m<\/mi>\/<\/mo>s<\/mi>,<\/mo><\/math> and gets embedded after travelling<\/span>5<\/mn> cm<\/mi><\/math>. The time taken by the bullet to stop is [[1]] <\/span>sec<\/mi><\/math>.<\/span><\/p>

<\/p>

<\/p><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;page-break-after:avoid;line-height:normal;font-size:12pt\"><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;page-break-after:avoid;line-height:normal;font-size:12pt\">","options":null,"solution":"A bullet of <\/span>10<\/mn>g<\/mi><\/math> strikes a sand-bag at speed of <\/span>10<\/mn><\/mrow>3<\/mn><\/mrow><\/msup> m<\/mi>\/<\/mo>s<\/mi><\/math> and gets embedded after travelling<\/span>5<\/mn> cm<\/mi><\/math>. The time taken by the bullet to stop is <\/span>0<\/mn>.<\/mo>0001<\/mn> sec<\/mi><\/math>.<\/span>
Mass of bullet <\/span>m<\/mi>=<\/mo>10<\/mn><\/mrow>1000<\/mn><\/mrow><\/mfrac>=<\/mo>0<\/mn>.<\/mo>01<\/mn> kg<\/mi><\/math>, <\/span>u<\/mi>=<\/mo>10<\/mn><\/mrow>3<\/mn><\/mrow><\/msup> m<\/mi>\/<\/mo>s<\/mi><\/math>, displacement <\/span>s<\/mi>=<\/mo>5<\/mn><\/mrow>100<\/mn><\/mrow><\/mfrac>=<\/mo>0<\/mn>.<\/mo>05<\/mn> m<\/mi><\/math>.<\/span>
Third law of motion,<\/span>
\u21e8<\/span>      <\/span><\/span>v\u00b2<\/mi>-<\/mo>u\u00b2<\/mi>=<\/mo>2<\/mn>as<\/mi><\/math>
The final velocity will be zero,<\/span>
\u21e8<\/span>      <\/span><\/span>0<\/mn><\/mrow>2<\/mn><\/mrow><\/msup>-<\/mo>10<\/mn><\/mrow>3<\/mn><\/mrow><\/msup><\/mrow><\/mfenced><\/mrow>2<\/mn><\/mrow><\/msup>=<\/mo>2<\/mn>\u00d7<\/mo>a<\/mi>\u00d7<\/mo>0<\/mn>.<\/mo>05<\/mn><\/math>
\u21e8<\/span>      <\/span><\/span>-<\/mo>10<\/mn><\/mrow>6<\/mn><\/mrow><\/msup>=<\/mo>0<\/mn>.<\/mo>1<\/mn> <\/mi>\u00d7<\/mo>a<\/mi><\/math>
\u21e8<\/span>      <\/span><\/span>a<\/mi>=<\/mo>-<\/mo>10<\/mn><\/mrow>7<\/mn><\/mrow><\/msup>m<\/mi>\/<\/mo>s\u00b2<\/mi><\/math>
The resistive force is equal to,<\/span>
\u21e8<\/span>      <\/span><\/span>F<\/mi>=<\/mo>ma<\/mi><\/math>
\u21e8<\/span>      <\/span><\/span>F<\/mi>=<\/mo>0<\/mn>.<\/mo>01<\/mn>\u00d7<\/mo>-<\/mo>10<\/mn><\/mrow>7<\/mn><\/mrow><\/msup><\/mrow><\/mfenced><\/math>
\u21e8<\/span>      <\/span><\/span>F<\/mi>=<\/mo>-<\/mo>10<\/mn><\/mrow>5<\/mn><\/mrow><\/msup> N<\/mi><\/math>
The resistive force is equal to <\/span>-<\/mo>10<\/mn><\/mrow>5<\/mn><\/mrow><\/msup> N<\/mi><\/math>.<\/span>
By the first law of motion,<\/span>
\u21e8<\/span>      <\/span><\/span>v<\/mi>=<\/mo>u<\/mi>+<\/mo>at<\/mi><\/math>
\u21e8<\/span>      <\/span><\/span>t<\/mi>=<\/mo>v<\/mi>-<\/mo>u<\/mi><\/mrow>a<\/mi><\/mrow><\/mfrac><\/math>
\u21e8<\/span>      <\/span><\/span>t<\/mi>=<\/mo>0<\/mn>-<\/mo>10<\/mn><\/mrow>3<\/mn><\/mrow><\/msup><\/mrow>-<\/mo>10<\/mn><\/mrow>7<\/mn><\/mrow><\/msup><\/mrow><\/mfrac><\/math>
\u21e8<\/span>      <\/span><\/span>t<\/mi>=<\/mo>-<\/mo>10<\/mn><\/mrow>3<\/mn><\/mrow><\/msup><\/mrow>-<\/mo>10<\/mn><\/mrow>7<\/mn><\/mrow><\/msup><\/mrow><\/mfrac><\/math>
\u21e8<\/span>      <\/span><\/span>t<\/mi>=<\/mo>10<\/mn><\/mrow>3<\/mn>-<\/mo>7<\/mn><\/mrow><\/msup><\/math>
=<\/mo>10<\/mn><\/mrow>-<\/mo>4<\/mn><\/mrow><\/msup>s<\/mi><\/math>
=<\/mo>0<\/mn>.<\/mo>0001<\/mn> s<\/mi><\/math>.<\/span>
 <\/span>","subject":""},"yoast_head":"\nA bullet of 10\u00a0g strikes a sand-bag at speed of 103\u00a0m\/s, and gets embedded after travelling5\u00a0cm. The time taken by the bullet to stop is [[1]] sec. - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"A bullet of 10\u00a0g strikes a sand-bag at speed of 103\u00a0m\/s, and gets embedded after travelling5\u00a0cm. The time taken by the bullet to stop is [[1]] sec.\" \/>\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\/a-bullet-of-10g-strikes-a-sand-bag-at-speed-of-103ms-and\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A bullet of 10\u00a0g strikes a sand-bag at speed of 103\u00a0m\/s, and gets embedded after travelling5\u00a0cm. 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