Two clumps of clay shown below are on a collision course: clump 1 has a mass m,

Question

Two clumps of clay shown below are on a collision course: clump 1 has a mass m, and

clump 2 has a mass of 3m. They both have the same speed of 0.755 m/s coming into the

collision; if they stick together what is their speed and angle relative to the dotted line after

Two clumps of clay shown below are on a collision course: clump 1 has a mass m, and clump 2 has a mass of 3m. They both have the same speed of 0.755 m/s coming into the collision; if they stick together what is their speed and angle relative to the dotted line after the collision?

Explanation / Answer

By conservation of momentum along x,

m1v1ix + m2v2ix = (m1 + m2)vx

As

m1 = m
v1ix = -0.755cos30 m/s
m2 = 3m
v2ix = -0.755 m/s

Then, solving for vx,

vx = -0.7297 m/s

By conservation of momentum along y,

m1v1iy + m2v2iy = (m1 + m2)vy

As

m1 = m
v1iy = -0.755sin30 m/s
m2 = 3m
v2iy = 0 m/s

Then, solving for vy,

vy = -0.094375 m/s

Getting the resultant of vx and vy,

v = 0.736 m/s   [ANSWER, speed]
Angle = 7.37 degrees below the dotted line   [ANSWER, angle]

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