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Basic formula required for the calculation :
Momentum(M) = Mass(m) × Velocity (v)
M¹ = mv
a.) When velocity is doubled :
Ans. M² = m×2×v
M² = 2(M¹)
Then, momentum is also doubled.
b.) When velocity is doubled and mass is halved :
Ans. M³ = ½×m×2×v
M³ = mv
M³ = M¹
Then, momentum remains same.
c.) When both velocity and mass is halved :
Ans. M⁴ = ½×m×½×v
M⁴ = ¼× mv
M⁴ = ¼(M¹)
Then, momentum becomes one - fourth.
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