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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»

Given:-

  • Velocity ,V = 2.54 m/s²

To Find:-

  • Combined mass of girl and bike ,m

Solution:-

As we KNOW that the energy posses by body due to its motion is called Kinetic Energy.

KE = 1/2mv²

Where,

KE is the Kinetic Energy

m is the mass

v is the velocity

Substitute the value we get

→ 193 = 1/2×m × 2.54²

→ 193 = 1/2×m × 6.45

→ 193×2 = m×6.45

→ 386 = m × 6.45

→ m = 386/6.45

→ m = 59.83 ≈ 60 kg

Therefore, the combined mass of the girl and her bike is 60 Kg.



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