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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» ANSWER :
⠀ Explanation :We are given with the velocity of a bike as well as kinetic energy of her bike, that is,
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⠀ We have to find out the combined mass of the girl and her bike ⠀ As we are given with the velocity of bike and kinetic energy of her bike, we know that if we're given with velocity and kinetic energy, we know the REQUIRED formula, that is, → K.E = ½mv². ⠀ Substituting the given values in the formula : → 193 = ½ × m × (2.54)² → 193 = ½ × m × 6.45 → 193 × 2 = 1 × m × 6.45 → 686 = 1 × m × 6.45 → 686 = m × 6.45 → m = 686 ÷ 6.45 → m = 59.83 → m ≈ 60 kg ⠀ Hence, the combined mass of the girl and her bike is 59.83 kg or 60 kg. |
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