IF KE OF A BODY INCREASED BY 0.1%,THE PERCENTAGE INCREASE IN ITS MOMENTUM WILL BE?
1. 0.05%
2. 0.1%
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Kinetic energy and momentum are related as
K = p²/(2m)
For an object of mass m
K ∝ p²
From above,
ΔK/K = 2 Δp/p
Δp/p = 1/2 × ΔK/K
= 1/2 × 0.1%
= 0.05%
∴ Percentage increase in its momentum is 0.05%
K = p²/(2m)
For an object of mass m
K ∝ p²
From above,
ΔK/K = 2 Δp/p
Δp/p = 1/2 × ΔK/K
= 1/2 × 0.1%
= 0.05%
∴ Percentage increase in its momentum is 0.05%
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