Question

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?

Answer 1

Answer:

Ender's mass = 2.25 kg

Explanation:

using law of conservation of momentum .

since there is inelastic collision

given.

$let \ \ m_{1} = m \\m_{2} = 45 kg \\v_{1} = 12 m/s \\v_{2} = 9 m/s \\\\V_{3} =6.4 m/s\\using \ \ \\m_{1}v_{1} + m_{2}v_{2} = (m_{1} +m_{2})V\\m\times12 + 45\times9 = (m+45)\times6.4\\64m -12m = 405 -288\\52m =117\\m =\frac{117}{52}\\m =2.25kg$

Answer 2

Ender’s mass, in kg, is mathematically given as

m =2.25kg

What is Ender’s mass, in kg?

Question Parameter(s):

m2 = 45 kg

v1 = 12 m/s

v_2 = 9 m/s

Generally, the equation for the conservation of enegry   is mathematically given as

m_{1}v_{1} + m_{2}v_{2} = (m_{1} +m_{2})

Therefore

m*12 + 45*9  = (m+45)*6.4

64m -12m= 405 -288

52m =117

m =2.25kg

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