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Ender and Shen are flying at each other during a battle in space. Ender moves with a velocity v1 of 12 m/s and Shen, with a mass of 45 kg, moves at a velocity v2 of 9.0 m/s. When the two collide, they hold on to each other and move with a velocity v3 of 6.4 m/s. What is Ender’s mass, in kg?

1 Answer

4 votes

Answer:

Ender's mass = 2.25 kg

Step-by-step explanation:

using law of conservation of momentum .

since there is inelastic collision

given.


let \ \ m_(1) = m \\m_(2) = 45 kg \\v_(1) = 12 m/s \\v_(2) = 9 m/s \\\\V_(3) =6.4 m/s\\using \ \ \\m_(1)v_(1) + m_(2)v_(2) = (m_(1) +m_(2))V\\m*12 + 45*9 = (m+45)*6.4\\64m -12m = 405 -288\\52m =117\\m =(117)/(52)\\m =2.25kg

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