{"id":11612,"date":"2024-11-14T13:08:18","date_gmt":"2024-11-14T13:08:18","guid":{"rendered":"https:\/\/fisicaevestibular.com.br\/novo\/?page_id=11612"},"modified":"2024-12-03T14:47:10","modified_gmt":"2024-12-03T14:47:10","slug":"sistema-de-unidades-analise-dimensional-resolucao-en","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/enem\/sistema-de-unidades-analise-dimensional\/sistema-de-unidades-analise-dimensional-resolucao-en\/","title":{"rendered":"System of Units \u2013 Dimensional Analysis – Resolution – EN"},"content":{"rendered":"

Commented Resolution<\/p>\n

System of Units \u2013 Dimensional Analysis<\/p>\n

01-\u00a0Using a rule of three \u2014 8s \u2013 10\u00a0-2<\/sup>\u00a0km\u00a02<\/sup>\u00a0\u00a0 \u2014 32.10\u00a06<\/sup>\u00a0s \u2013 n km\u00a02<\/sup>\u00a0\u00a0 \u2014 n = 32.10\u00a06<\/sup>\u00a0.10\u00a0-2<\/sup>\u00a0\/8 \u2014 n = 4.10\u00a04<\/sup>\u00a0km\u00a02<\/sup>\u00a0= 40,000 km\u00a02<\/sup>\u00a0.<\/p>\n

R- And<\/p>\n

02-\u00a0The light year is a unit of length \u2014 it corresponds to the space traveled by a ray of light in 1 year, in a vacuum, at a speed of 3.10\u00a08<\/sup>\u00a0m\/s \u2014<\/p>\n

R- D\u00a0\u2014 Note: This is too large a measurement for our common applications here on Earth.<\/p>\n

\"\"<\/p>\n

This unit is used to measure distances in cosmic space, between stars in the same galaxy or between different galaxies. It is useful for astronomers.<\/p>\n

03\u00a0\u2013 This is the Torricelli equation, V\u00a02<\/sup>\u00a0\u00a0= V\u00a0o\u00a0<\/sub>2<\/sup>\u00a0\u00a0+ 2.ah \u2014 with V = 0 \u2014 whose deduction is made from V\u00a0m<\/sub>\u00a0= \u0394S\/\u0394t \u2014 where \u2014 V\u00a0m<\/sub>\u00a0= (V + V\u00a00<\/sub>\u00a0)\/2=h\/t \u2014 h=(V + V\u00a0o<\/sub>\u00a0)t\/2 \u2014 h=V\u00a0m<\/sub>\u00a0.t\/2 \u2014 note in this equation that h is proportional to V\u00a0m<\/sub>\u00a0\u00a0eat \u2014\u00a0\u00a0\u00a0R- E<\/p>\n

04- Calories correspond to the unit of energy, which in SI is measured in joules (J) \u2014\u00a0\u00a0\u00a0R- D<\/p>\n

05-\u00a01 nanogram=10\u00a0-9<\/sup>\u00a0\u00a0g \u2014\u00a0\u00a0\u00a0R- B\u00a0\u00a0\u00a0\u2014 see table below<\/p>\n

\"\"<\/p>\n

06-\u00a01kW is equivalent to 10\u00a03<\/sup>\u00a0W \u2014 1h is equivalent to 3.6.10\u00a03<\/sup>\u00a0s \u2014 relationship between Joule and ws \u2014 1J = 1w.s \u2014<\/p>\n

1kWh = 10\u00a03<\/sup>\u00a0W . 3.6.10\u00a03<\/sup>\u00a0s = 3.6.10\u00a06<\/sup>\u00a0W.s \u2014 1kWh = 3.6.10\u00a06<\/sup>\u00a0J \u2014\u00a0\u00a0\u00a0R- D<\/p>\n

07-\u00a0According to the text, the diameter of a strand of hair can measure approximately<\/p>\n

100,000nm = 10\u00a05<\/sup>\u00a0nm=10\u00a05<\/sup>\u00a0.10\u00a0-9<\/sup>\u00a0m =10\u00a04<\/sup>\u00a0m =10\u00a02<\/sup>\u00a0.10\u00a0-6<\/sup>\u00a0m =100.10\u00a0-6<\/sup>\u00a0m=100mm \u2014\u00a0\u00a0\u00a0R- E<\/p>\n

08\u00a0\u00a0\u00a0\u2013 1. Correct \u2014 6 m\u00a02<\/sup>\u00a0\u00a0= 6 (100 cm)\u00a02<\/sup>\u00a0\u00a0= 6.10\u00a04<\/sup>\u00a0\u00a0cm\u00a02<\/sup>\u00a0\u00a0= 60,000 cm\u00a02<\/sup>\u00a0.<\/p>\n

2. Correct \u2014 216 \u200b\u200bkm\/h = 216\/3.6\u00a0\u00a0\"\"m\/s = 60 m\/s.<\/p>\n

3. Wrong \u2014 3,000 m\u00a03<\/sup>\u00a0\u00a0= 3,000 (1,000 L) = 3,000,000 L.<\/p>\n

4. Correct \u2014 7,200 s = 7,200\/3,600h = 2 h.<\/p>\n

5. Correct \u2014 2.5 10\u00a05<\/sup>\u00a0\u00a0g =\u00a0\u00a0\"\"2.5.10\u00a02<\/sup>\u00a0\u00a0kg = 250 g<\/p>\n

R-B<\/p>\n

09-\u00a0Energy of a truck \u2014 E\u00a01<\/sub>\u00a0= 10kWh = 10.10\u00a03<\/sup>\u00a0Wh = 10\u00a04<\/sup>\u00a0Wh \u2014 Total energy \u2014 E\u00a0t<\/sub>\u00a0= 200.000.MWh = 200.10\u00a03<\/sup>\u00a0.10\u00a06<\/sup>\u00a0Wh = 2.10\u00a011<\/sup>\u00a0Wh \u2014 rule of three \u2014 1 kg of coal \u2013 10\u00a04<\/sup>\u00a0Wh \u2014 M of coal \u2013 2.10\u00a011<\/sup>\u00a0Wh \u2014 M = 2.10\u00a011<\/sup>\u00a0\/ 10\u00a04<\/sup>\u00a0\u00a0 \u2014 M = 2.10\u00a07<\/sup>\u00a0\u00a0kg of coal \u2014 another rule of three \u2014 1 truck \u2013 1 ton = 10\u00a04<\/sup>\u00a0kg \u2014 n trucks \u2013 2.10\u00a07<\/sup>\u00a0kg \u2014 n = 2.10\u00a07<\/sup>\u00a0\/ 10\u00a04<\/sup>\u00a0\u00a0 \u2014 n = 2.10\u00a03<\/sup>\u00a0\u00a0trucks \u2014\u00a0\u00a0\u00a0R – D<\/p>\n

10-\u00a0Carlos has 10 minutes out of every 30 to travel on BOMPASSEIO and 20 minutes out of every 30 to travel on ANDABEM.<\/p>\n

Thus, considering that the expression \u201ctwice as large\u201d means twice as much, the probability of Carlos traveling on a bus from the company ANDABEM is twice as large as the probability of him traveling on a bus from the company BOMPASSEIO.<\/p>\n

R-D<\/p>\n

11-\u00a0Note that Pedro’s measurement has 4 significant digits while Gabriel’s has 3 \u2014\u00a0\u00a0\u00a0R- B<\/p>\n

12-\u00a0V\u00a0total<\/sub>\u00a0l = 1,000,000,000km\u00a03<\/sup>\u00a0= 10\u00a09<\/sup>\u00a0. 10\u00a09<\/sup>\u00a0m\u00a03<\/sup>\u00a0\u00a0 \u2014 V\u00a0total<\/sub>\u00a0l = 10\u00a018<\/sup>\u00a0m\u00a03<\/sup>\u00a0\u00a0 \u2014 V\u00a0fish<\/sub>\u00a0= 100 \u00d7 100,100 \u2014 V\u00a0fish<\/sub>\u00a0= 10\u00a06<\/sup>\u00a0m\u00a03<\/sup>\u00a0\u00a0 \u2014 V\u00a0total<\/sub>\u00a0\/ V\u00a0fish<\/sub>\u00a0= 10\u00a018<\/sup>\u00a0m\u00a03<\/sup>\u00a0\/ 10\u00a06<\/sup>\u00a0m\u00a03<\/sup>\u00a0\u00a0 \u2014 V\u00a0total<\/sub>\u00a0\/ V\u00a0fish<\/sub>\u00a0= 10\u00a012<\/sup>\u00a0\u00a0kisses \u2014\u00a0\u00a0\u00a0R- B<\/p>\n

13-\u00a0E=1354kWh=1,354.10\u00a03<\/sup>\u00a0.10\u00a03<\/sup>\u00a0W.3,6.10\u00a03<\/sup>\u00a0s \u2014 E=4,9.10\u00a09<\/sup>\u00a0Ws \u2014 OG=10.10\u00a09<\/sup>\u00a0=10\u00a010<\/sup>\u00a0\u00a0J \u2014\u00a0\u00a0\u00a0R- A<\/p>\n

14-\u00a0\u00a0Earth’s surface area \u2014 STEarth=\u03c0.r\u00a02<\/sup>\u00a0=3.14.(6.4.10\u00a03<\/sup>\u00a0)\u00a02<\/sup>\u00a0\u00a0 \u2014 S\u00a0Earth<\/sub>\u00a0=129.10\u00a06<\/sup>\u00a0\u00a0km\u00a02<\/sup>\u00a0\u00a0 \u2014 year 2000 \u2014 S\u00b4=5% of 129.10\u00a06<\/sup>\u00a0\u00a0 \u2014 S’= 0.05\u00d7129.10\u00a06<\/sup>\u00a0\u00a0 \u2014 S’=6.45.10\u00a06<\/sup>\u00a0\u00a0 \u2014 6.45>3.16 \u2014 OG=10.10\u00a06<\/sup>\u00a0\u00a0 \u2014 OG=10\u00a07<\/sup>\u00a0\u00a0km\u00a02<\/sup>\u00a0\u00a0 \u2014\u00a0\u00a0\u00a0R- C<\/p>\n

15-<\/p>\n

\"\"<\/p>\n

Back to exercises<\/span><\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"

Commented Resolution System of Units \u2013 Dimensional Analysis 01-\u00a0Using a rule of three \u2014 8s \u2013 10\u00a0-2\u00a0km\u00a02\u00a0\u00a0 \u2014 32.10\u00a06\u00a0s \u2013 n km\u00a02\u00a0\u00a0 \u2014 n = 32.10\u00a06\u00a0.10\u00a0-2\u00a0\/8 \u2014 n = 4.10\u00a04\u00a0km\u00a02\u00a0= 40,000 km\u00a02\u00a0. R- And 02-\u00a0The light year is a unit of length \u2014 it corresponds to the space traveled by a ray of light in 1 year, in a vacuum,<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":3573,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-11612","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/11612","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/comments?post=11612"}],"version-history":[{"count":2,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/11612\/revisions"}],"predecessor-version":[{"id":12146,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/11612\/revisions\/12146"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3573"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=11612"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}