06: Two crates are moving towards each other. Crate 1 has a mass of 8kg and Crat
ID: 2030603 • Letter: 0
Question
06: Two crates are moving towards each other. Crate 1 has a mass of 8kg and Crate 2 has a mass of 16kg. Crate 1 is initially moving East at 4m/sec and Crate 2 is moving at 4m/sec West. They collide. After the collision, Crate 2 is observed to have stopped. The collision lasts for O.1sec. Fli in the matrix and round to NO MORE THAN 1 decimal. DO NOT PUT UNITS OF MEASUREMENT INSIDE THE MATRIX AS THEY ARE LISTED AT THE TOP.-30 ponts Before After Impulse ts)(N-S) O.1 ms O.2 32 total 2A Ka AKE () Work totalExplanation / Answer
Using conservation of momentum,
m1v1-inital + m2v2-initial = m1v1-final + m2v2-final
as crate 2 stopped after collision, v2-final = 0, so
8*4 + 16*-4 = 8*v1-final
32 - 64 = 8*v1-final
v1-final = -4 m/s
so p' = -32 kgm/s (object 1)
p' = 0 (object 2)
delta v = final v - initial v = -4-4 = - 8 m/s (object 1)
delta v = 0-(-4) = 4 m/s (object 2)
delta p = change in momentum = 0 (for object 1)
for object 2 = 64
a = delta v / t = -8 / 0.1 = -80 m/s2 (object 1)
similarly, find for object 2,
F = ma (do this for object 1 and 2)
Impulse = change in momentum
K.E = 1/2*m*v2
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