1- جاهای خالی را با کلمات مناسب پرکنید.
الف) در یک بلندگو، انرژی .................، به انرژی ...................... تبدیل می شود.
ب) در لامپ روشنایی، انرژی الکتریکی به انرژی ..................... تبدیل می شود.
پ)در کتری برقی، انرژی الکتریکی به انرژی ......................... تبدیل می شود.
ت)در رادیو، انرژی ...................... به انرژی .............................. تبدیل می شود.
2- با خوردن چند کیلوگرم مرغ (KJ/g 6) انرژی 8 ساعت خوابیدن (KJ /min 5) تأمین می شود؟
3- انرژی شیمیایی نهفته در بستنی و شیر به ترتیب KJ/g 3/9 و KJ/g 7/2 است. 12 گرم شیر معادل چند گرم بستنی انرژی دارد؟
4- شخصی با خوردن 100 گرم شیر (KJ/g 3) و 100 گرم شکلات ( kJ/g20) چند دقیقه میتواند دوچرخه سواری (KJ /min40) کند؟ ( بازده بدن شخص را 25 درصد درنظر بگیرید.)
5- شخصی میخواهد 1/3ساعت شنا کند. برای انجام این فعالیت مقداری شکلات و دو برابرآن شیر و تخم مرغ مصرف می کند ( به مقدار مساوی). در صورتیکه بازده ی بدن شخص 35 % باشد، ابتدا تعیین کنید چه مقدار انرژی بر حسب کیلوکالری نیاز دارد سپس جرم هریک از مواد مصرفی را بدست آورید.
6- انرژی جنبشی جسمی به جرم kg 10 برابر kJ 2 است. اندازه ی سرعت جسم چند متر بر ثانیه است؟
7- شخصی با سرعت m/s 2 و اتومبیلی با سرعت m/s 30 در حرکتاند. اگر جرم اتومبیل به همراه رانندهی آن 20 برابر جرم شخص باشد، انرژی جنبشی شخص چند درصد انرژی جنبشی اتومبیل است؟
8- انرژی جنبشی جسم A و جسم B یکسان است. اگر جرم جسم A ،یک چهارم جرم جسم B باشد، سرعت جسم A چند برابر سرعت جسم B است؟
9- گلولهای به جرم g 10 با سرعت m/s 200 به صورت افقی به تنهی درختی برخورد کرده و از طرف دیگر آن با سرعت m/s 50 خارج میشود. در عبور این گلوله از درخت انرژی درونی گلوله و درخت چقدر افزایش یافته است؟
10- گلولهای با سرعت m/s 20 مطابق شکل به دیوار قائمی برخورد میکندو با سرعت m/s 10 در همان راستا باز میگردد. چند درصد از انرژی جنبشیاولیه ی جسم در اثر این برخورد تلف شده است؟
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11- با خوردن یک گرم کشمش kJ 13 انرژی جذب بدن میشود. شخصی به جرم kg 65، g 200 کشمش میخورد. اگر بدن بتواند از تمام این انرژی برای بالا رفتن استفاده کند، این شخص میتواند چند کیلومتر از کوهی بالا رود؟ (ارتفاع عمودی مورد نظر است، m/s2 8/9 = g)
12- سنگی به جرم 2 kg از پنجرهای به ارتفاع 45 m بالاتر از سطح زمین رها میشود.
الف) انرژی پتانسیل آن در لحظهی شروع (نسبت به سطح زمین) چند ژول است؟
ب) در لحظهی برخورد با زمین، انرژی جنبشی آن چند ژول است؟
پ)سنگ با چه سرعتی به زمین میرسد؟ اگر جرم سنگ 3 kg میبود، سرعت برخورد آن با زمین چه تفاوتی میکرد؟
13-کودکی از سرسره ی پارک با اصطکاک ناچیز مطابق شکل به پایین میلغزد. سرعت او در پایین سرسره چند m/s است؟ (g=10 m/s2)
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)
14- سه جرم مشابه به جرم m از ارتفاع یکسانی نسبت به سطح زمین مطابق شکل از سه مسیر متفاوت از حال سکون شروع به حرکت میکنند. سرعت جسمها را در سطح زمین با هم مقایسه کنید. اگر جرم سه جسم متفاوت باشد، سرعت آنها را با هم مقایسه کنید. ( از اصطکاک صرفنظر شود.)