%3Cp%3E%3Cspan%20class%3D%0A%22c1%22%3EA%200.00739-kg%26nbsp%3Bbullet%26nbsp%3Bi

Question

%3Cp%3E%3Cspan%20class%3D%0A%22c1%22%3EA%200.00739-kg%26nbsp%3Bbullet%26nbsp%3Bis%26nbsp%3Bfired%26nbsp%3Bstraight%26nbsp%3Bup%26nbsp%3Bat%26nbsp%3Ba%26nbsp%3Bfalling%26nbsp%3Bwooden%26nbsp%3Bblock%26nbsp%3Bthat%26nbsp%3Bhas%26nbsp%3Ba%26nbsp%3Bmass%26nbsp%3Bof%26nbsp%3B4.54%26nbsp%3Bkg.%26nbsp%3BThe%26nbsp%3Bbullet%26nbsp%3Bhas%26nbsp%3Ba%26nbsp%3Bspeed%26nbsp%3Bof%26nbsp%3B870%26nbsp%3Bm%2Fs%26nbsp%3Bwhen%26nbsp%3Bit%26nbsp%3Bstrikes%26nbsp%3Bthe%26nbsp%3Bblock.%26nbsp%3BThe%26nbsp%3Bblock%26nbsp%3Boriginally%26nbsp%3Bwas%26nbsp%3Bdropped%26nbsp%3Bfrom%26nbsp%3Brest%26nbsp%3Bfrom%26nbsp%3Bthe%26nbsp%3Btop%26nbsp%3Bof%26nbsp%3Ba%26nbsp%3Bbuilding%26nbsp%3Band%26nbsp%3Bhad%26nbsp%3Bbeen%26nbsp%3Bfalling%26nbsp%3Bfor%26nbsp%3Ba%26nbsp%3Btime%26nbsp%3B%3C%2Fspan%3E%3Ci%3Et%3C%2Fi%3E%3Cspan%3E%26nbsp%3Bwhen%26nbsp%3Bthe%26nbsp%3Bcollision%26nbsp%3Bwith%26nbsp%3Bthe%26nbsp%3Bbullet%26nbsp%3Boccurs.%26nbsp%3BAs%26nbsp%3Ba%26nbsp%3Bresult%26nbsp%3Bof%26nbsp%3Bthe%26nbsp%3Bcollision%2C%26nbsp%3Bthe%26nbsp%3Bblock%26nbsp%3B(with%26nbsp%3Bthe%26nbsp%3Bbullet%26nbsp%3Bin%26nbsp%3Bit)%26nbsp%3Breverses%26nbsp%3Bdirection%2C%26nbsp%3Brises%2C%26nbsp%3Band%26nbsp%3Bcomes%26nbsp%3Bto%26nbsp%3Ba%26nbsp%3Bmomentary%26nbsp%3Bhalt%26nbsp%3Bat%26nbsp%3Bthe%26nbsp%3Btop%26nbsp%3Bof%26nbsp%3Bthe%26nbsp%3Bbuilding.%26nbsp%3BFind%26nbsp%3Bthe%26nbsp%3Btime%26nbsp%3B%3C%2Fspan%3E%3Ci%3Et%3C%2Fi%3E%3Cspan%3E.%3C%2Fspan%3E%3C%2Fp%3E%0A

Explanation / Answer

here KE of the bullet = PE of block

Mgx=0.5*0.00739*870*870

x=62.85m

suppose block travels a distance of x m

x=ut+4.9t^2

t=3.58s

take u=0

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