Question
A bullet having a mass of 10g and moving with a speed of 1.5m/s penetrates a thick wooden plank of mass 90g. The plank was initially at rest. The bullet gets embedded in the plank and both moves together. Determine their velocity
Answers
momentum is conserved
10 * 1.5 = (90 + 10) * v
10 * 1.5 = (90 + 10) * v
O.15m/s
0.15m/s
Jsjdh
0.15
I want the answer step wise...
0.15m/s
0.15m/s
Ans. Data: m, 10 g=10 x 10-3 kg, u, -1.5 m/s, m2=90 g = 90 × 10-3 kg. u, 0 m/s, v₁ = v₂ =v=?
=
By the law of conservation of momentum,
m,u,+m,u,m,v,+m₂v₂
As u₁ = 0 m/s and v₁ = v₁ =v, we have
m,u,(m, +m₂) v
..U = mu, m+m₂
10 x 10 kg x 1.5 m/s 10 x 10 kg +90 x 10 kg
110 x 1.5 100 m/s = 0.15 m/s
The speed with which the plank containing the bullet moves = 0.15 m/s
=
By the law of conservation of momentum,
m,u,+m,u,m,v,+m₂v₂
As u₁ = 0 m/s and v₁ = v₁ =v, we have
m,u,(m, +m₂) v
..U = mu, m+m₂
10 x 10 kg x 1.5 m/s 10 x 10 kg +90 x 10 kg
110 x 1.5 100 m/s = 0.15 m/s
The speed with which the plank containing the bullet moves = 0.15 m/s
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