{"id":338724,"date":"2023-01-06T10:33:49","date_gmt":"2023-01-06T05:03:49","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-truck-of-mass-m-is-moved-under-a-force-f-if-the-truck-is-loaded-with-an-object-equal-to-the-mass-of-the-truck-and-the-driving-force-is-halved-then-the-acceleration-changes-by-1-of-previous-acc\/"},"modified":"2025-06-26T18:23:06","modified_gmt":"2025-06-26T12:53:06","slug":"a-truck-of-mass-m-is-moved-under-a-force-f-if-the-truck-is-loaded-with-an-object-equal-to-the-mass-of-the-truck-and-the-driving-force-is-halved-then-the-acceleration-changes-by-1-of-previous-acc","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-truck-of-mass-m-is-moved-under-a-force-f-if-the-truck-is\/","title":{"rendered":"A truck of mass m is moved under a force F. If the truck is loaded with an object equal to the mass of the truck and the driving force is halved, then the acceleration changes by [[1]] of previous acceleration."},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A truck of mass m is moved under a force F. If the truck is loaded with an object equal to the mass of the truck and the driving force is halved, then the acceleration changes by [[1]] of previous acceleration.","custom_permalink":"question\/physics\/a-truck-of-mass-m-is-moved-under-a-force-f-if-the-truck-is\/"},"categories":[],"acf":{"question":"

A truck of mass <\/span>m<\/mi><\/math> is moved under a force <\/span>F<\/mi><\/math>. If the truck is loaded with an object equal to the mass of the truck and the driving force is halved, then the acceleration changes by [[1]] of previous acceleration.<\/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 truck of mass <\/span>m<\/mi><\/math> is moved under a force <\/span>F<\/mi><\/math>. If the truck is loaded with an object equal to the mass of the truck and the driving force is halved, then the acceleration changes by<\/span>  <\/span>1<\/mn><\/mrow>4<\/mn><\/mrow><\/mfrac><\/math>  <\/span>of the previous accelerations.<\/span>
Given, <\/span>
The initial mass,<\/span> <\/mi>m<\/mi><\/mrow>1<\/mn><\/mrow><\/msub>=<\/mo>M<\/mi><\/math>, <\/span>
the initial force, <\/span>F<\/mi><\/mrow>1<\/mn><\/mrow><\/msub>=<\/mo>F<\/mi><\/math>,<\/span>
The new mass is equal <\/span>m<\/mi><\/mrow>2<\/mn><\/mrow><\/msub>=<\/mo>M<\/mi>+<\/mo>M<\/mi><\/math> <\/span>=<\/mo>2<\/mn>M<\/mi><\/math> <\/span>and the new force, <\/span>F<\/mi><\/mrow>2<\/mn><\/mrow><\/msub>=<\/mo>F<\/mi><\/mrow>2<\/mn><\/mrow><\/mfrac><\/math>,<\/span>
Acceleration is,<\/span>
a<\/mi>=<\/mo>F<\/mi><\/mrow>m<\/mi><\/mrow><\/mfrac><\/math>
Change in acceleration is,<\/span>
a<\/mi><\/mrow>1<\/mn><\/mrow><\/msub><\/mrow>a<\/mi><\/mrow>2<\/mn><\/mrow><\/msub><\/mrow><\/mfrac>=<\/mo>F<\/mi><\/mrow>1<\/mn><\/mrow><\/msub><\/mrow>F<\/mi><\/mrow>2<\/mn><\/mrow><\/msub><\/mrow><\/mfrac>\u00d7<\/mo>m<\/mi><\/mrow>2<\/mn><\/mrow><\/msub><\/mrow>m<\/mi><\/mrow>1<\/mn><\/mrow><\/msub><\/mrow><\/mfrac><\/math> <\/span>\u21e8<\/span>      <\/span><\/span>a<\/mi><\/mrow>1<\/mn><\/mrow><\/msub><\/mrow>a<\/mi><\/mrow>2<\/mn><\/mrow><\/msub><\/mrow><\/mfrac>=<\/mo>2<\/mn>F<\/mi><\/mrow>F<\/mi><\/mrow><\/mfrac>\u00d7<\/mo>2<\/mn>M<\/mi><\/mrow>M<\/mi><\/mrow><\/mfrac><\/math>
\u21e8<\/span>      <\/span><\/span>a<\/mi><\/mrow>1<\/mn><\/mrow><\/msub><\/mrow>a<\/mi><\/mrow>2<\/mn><\/mrow><\/msub><\/mrow><\/mfrac>=<\/mo>4<\/mn><\/math>
\u21e8<\/span>      <\/span><\/span>a<\/mi><\/mrow>1<\/mn><\/mrow><\/msub>=<\/mo>4<\/mn>a<\/mi><\/mrow>2<\/mn><\/mrow><\/msub><\/math>
\u21e8<\/span>      <\/span><\/span>a<\/mi><\/mrow>2<\/mn><\/mrow><\/msub>=<\/mo>a<\/mi><\/mrow>1<\/mn><\/mrow><\/msub><\/mrow>4<\/mn><\/mrow><\/mfrac><\/math>
The new acceleration is one-fourth of previous acceleration.<\/span>
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