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If KE of a body increases by `300%`, by what `%` will the linear momentum of the body increase?A. 0.2B. 0.5C. 1D. 2 |
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Answer» (c ) Final kinetic energy `(K_f) = "initial kinetic energy" (K_i) + 300 %` of` K_i` ` = K_i + ((300)/(100))K_i = 4 K_i` Clearly, `K_f| K_i = 4` As `P prop sqrtK, (P_f)/(P_i) = sqrt((K_f)/(K_i)) = sqrt4 = 2 or P_f = 2p_i or p_f - p_i = 2p_i - p_i = p_i` Thus % age increases in momentum `= (P-f - p_i)/(p_i)xx 100 = 100%` |
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