Bài 1: Lực và gia tốc
Lý thuyết Lực và Gia tốc
<p style="font-weight: 400; text-align: center;"><strong>L&yacute; thuyết Vật l&iacute; 10: Lực v&agrave; gia tốc</strong></p> <ol> <li style="font-weight: 400;"><strong><span data-toc-lv="1"> Li&ecirc;n hệ giữa gia tốc với lực v&agrave; khối lượng</span></strong></li> </ol> <ul> <li style="font-weight: 400;">Lực c&oacute; thể l&agrave;m thay đổi độ nhanh chậm hoặc hướng của chuyển động. Ta n&oacute;i rằng lực c&oacute; thể g&acirc;y ra gia tốc cho vật.</li> </ul> <p><img src="https://vietjack.me/storage/uploads/images/257/13-1660410935.png" /></p> <p><em>V&iacute; dụ khảo s&aacute;t: Sử dụng xe c&oacute; khối lượng kh&ocirc;ng đổi m = 0,334 (kg), thay đổi gi&aacute; trị F của lực t&aacute;c dụng l&ecirc;n xe v&agrave; x&aacute;c định gi&aacute;&nbsp;</em></p> <p>&nbsp;trị a của gia tốc xe.</p> <p style="padding-left: 40px;"><img 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" width="486" height="153" /></p> <p>- Kết quả th&iacute; nghiệm: <img class="wscnph" style="max-width: 100%;" src="https://static.colearn.vn:8413/v1.0/upload/library/12072023/screenshot_1689126436-nQIcMZ.png" /></p> <p><img src="https://vietjack.me/storage/uploads/images/257/15-1660410980.png" alt="" width="374" height="186" /></p> <p><em>- V&iacute; dụ</em>: Sử dụng xe c&oacute; khối lượng kh&aacute;c nhau, kết quả đo gi&aacute; trị a của gia tốc khi lực c&oacute; gi&aacute; trị</p> <p>như nhau ta được bảng:</p> <p><img src="https://vietjack.me/storage/uploads/images/257/16-1660410996.png" alt="" width="384" height="133" /></p> <p><img class="wscnph" style="max-width: 100%;" src="https://static.colearn.vn:8413/v1.0/upload/library/26052023/screenshot_1685070389-oscOSS.png" /></p> <p>Kết luận:</p> <p><em>- Độ lớn gia tốc của một vật c&oacute; khối lượng x&aacute;c định tỉ lệ thuận với độ lớn của lực g&acirc;y ra gia tốc cho vật.</em></p> <p><em>- Một lực c&oacute; độ lớn x&aacute;c định g&acirc;y ra cho c&aacute;c vật c&oacute; khối lượng kh&aacute;c nhau c&aacute;c gia tốc c&oacute; độ lớn tỉ lệ nghịch</em></p> <p><em> với khối lượng của mỗi vật.</em></p> <p><strong><span id="anchor-item-1" class="toc-heading toc-lv-1" data-toc-lv="1">II. Đơn vị cơ bản v&agrave; đơn vị dẫn suất</span></strong></p> <p style="font-weight: 400;">- Mọi ph&eacute;p đo phải được thực hiện tr&ecirc;n c&ugrave;ng một hệ đơn vị.</p> <p>Trong hệ SI c&oacute; 7 đơn vị l&agrave; đơn vị cơ bản.</p> <p><img src="https://vietjack.me/storage/uploads/images/257/17-1660411028.png" /></p> <p style="font-weight: 400;">- C&aacute;c đơn vị kh&aacute;c đều c&oacute; thể được biểu diễn qua c&aacute;c đơn vị cơ bản v&agrave; được gọi l&agrave; đơn vị dẫn xuất.</p> <p>- Đơn vị dẫn xuất để đo một đại lượng được x&aacute;c định bằng c&aacute;ch sử dụng định nghĩa hoặc biểu thức t&iacute;nh</p> <p>của đại lượng đ&oacute;.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</p> <ol> <li style="font-weight: 400;"><strong><span data-toc-lv="1">Định nghĩa đơn vị lực.</span></strong></li> </ol> <p>- Một Niuton l&agrave; độ lớn của một lực g&acirc;y ra gia tốc 1m/s<sup>2</sup>&nbsp;cho vật c&oacute; khối lượng 1kg.</p> <p>Do đ&oacute; 1N = 1kg. 1m/s<sup>2</sup>&nbsp;= 1kg.m/s<sup>2</sup></p> <p><sup>CoLearn.vn</sup></p> <div class="box-adv text-center mb-2">&nbsp;</div>
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