1.

8. A girl is travelling on her bike at a speed 2.54 m/s. If thegirl and her bike have a kinetic energy of 193 J, what is the combined mass of the girl and her bike? Show allyour work.

Answer» <html><body><h3><u>Given</u><u>:</u><u>-</u></h3><p></p><p></p><ul><li>Velocity ,<a href="https://interviewquestions.tuteehub.com/tag/v-722631" style="font-weight:bold;" target="_blank" title="Click to know more about V">V</a> = 2.54 m/s²</li></ul><p></p><ul><li><a href="https://interviewquestions.tuteehub.com/tag/kinetic-533291" style="font-weight:bold;" target="_blank" title="Click to know more about KINETIC">KINETIC</a> <a href="https://interviewquestions.tuteehub.com/tag/energy-15288" style="font-weight:bold;" target="_blank" title="Click to know more about ENERGY">ENERGY</a> ,KE = 193 J</li></ul><p></p><p></p><h3><u>T</u><u>o</u><u> </u><u>Find</u><u>:</u><u>-</u></h3><p></p><ul><li>Combined mass of girl and bike ,m</li></ul><p></p><p></p><h3><u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u><u>-</u></h3><p></p><p>As we <a href="https://interviewquestions.tuteehub.com/tag/know-534065" style="font-weight:bold;" target="_blank" title="Click to know more about KNOW">KNOW</a> that the energy posses by body due to its motion is called Kinetic Energy.</p><p></p><p>•<strong> </strong><strong>KE</strong><strong> </strong><strong>=</strong><strong> </strong><strong>1</strong><strong>/</strong><strong>2</strong><strong>m</strong><strong>v</strong><strong>²</strong></p><p></p><p>Where,</p><p></p><p>KE is the Kinetic Energy </p><p>m is the mass</p><p>v is the velocity</p><p></p><p>Substitute the value we get</p><p></p><p>→ 193 = 1/2×m × 2.54²</p><p></p><p>→ 193 = 1/2×m × 6.45</p><p></p><p>→ 193×2 = m×6.45</p><p></p><p>→ 386 = m × 6.45</p><p></p><p>→ m = 386/6.45</p><p></p><p>→ m = 59.83 ≈ 60 kg</p><p></p><p>Therefore, <strong><u>the</u></strong><strong><u> </u></strong><strong><u>comb</u></strong><strong><u>ined</u></strong><strong><u> </u></strong><strong><u>mass</u></strong><strong><u> </u></strong><strong><u>of</u></strong><strong><u> </u></strong><strong><u>the</u></strong><strong><u> </u></strong><strong><u>girl</u></strong><strong><u> </u></strong><strong><u>and</u></strong><strong><u> </u></strong><strong><u>her</u></strong><strong><u> </u></strong><strong><u>bik</u></strong><strong><u>e</u></strong><strong><u> </u></strong><strong><u>is</u></strong><strong><u> </u></strong><strong><u>6</u></strong><strong><u>0</u></strong><strong><u> </u></strong><strong><u>Kg</u></strong><strong><u>.</u></strong></p></body></html>


Discussion

No Comment Found

Related InterviewSolutions