Two objects collide head-on (see figure below). The first object is moving with

Question

Two objects collide head-on (see figure below). The first object is moving with an initial speed of 7.91 m/s and the second object is moving with an initial speed of v 10.00 m/s. Assuming the collision is elastic, m-5.14 kg, and m2 -6.28 kg, determine the final velocity of each object. (Indicate the direction with the sign of your answer. Positive is to the right, and negative is to the left. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) Your response differs from the correct answer by more than 10%. Double check your calculations. m/s Your response differs from the correct answer by more than 10%, Double check your calculations. m/s 12

Explanation / Answer

For elastic collision,

v1f = ((m1-m2)/(m1+m2))v1i + (2m2/(m1+m2))v2i

v2f = ((2m1)/(m1+m2))v1i + ((m2-m1)/(m1+m2))v2i

v1i = 7.91 m/s
v2i = 10 m/s
m1 = 5.14 kg
m2 = 6.28 kg

v1f = ((m1-m2)/(m1+m2))v1i + (2m2/(m1+m2))v2i
=> v1f = ((5.14-6.28)/(5.14+6.28))7.91 + ((2*6.28)/(5.14+6.28))10
=> v1f = 10.21 m/s

v2f = ((2m1)/(m1+m2))v1i + ((m2-m1)/(m1+m2))v2i
=> v2f = ((2*5.14)/(5.14+6.28))7.91 + ((6.28-5.14)/(5.14+6.28))10
=> v2f = 8.12 m/s

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