A bullet of mass 25g strikes a wooden target with the velocity of 100 m/s and emerges with the velocity of 20 m/s. Find the loss in energy during the process of penetration.
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Explanation:
Given :
- Mass of a bullet (m) = 25 g ⇒ 0.025 kg
- Initial velocity (u) = 100 m/s
- Final velocity (v) = 20 m/s
To Find :
- The loss in energy during the process of penetration.
Formula to be used :
- K.E = 1/2 × mu² and K.E = 1/2 × mv².
Solution :
★Initial kinetic energy,
K.Eᵢ = 1/2 × mu²
⇒ K.Eᵢ = 1/2 × 0.025 × (100)²
⇒ K.Eᵢ = 0.5 × 0.025 × 10000
⇒K.Eᵢ = 125 J
★Final kinetic energy,
K.Eբ = 1/2 × mv²
⇒ K.Eբ= 1/2 × 0.025 × (20)²
⇒ K.Eբ = 0.5 × 0.025 × 400
⇒K.Eբ = 5 J
★Loss in kinetic energy,
K.Eᵢ - K.Eբ
⇒ 125 - 5
⇒ 120 J
Hence, The loss in energy during the process of penetration is 120 J.
Anushka786:
Excellent!!
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