Table Speed
How high above the table should the granite cube be released to give the steel cube a speed of 190 ?
A 100 g granite cube slides down a frictionless 40 degree incline. At the bottom, just after it exits onto a horizontal table, the granite collides with a 260 g steel cube at rest.
Assuming an elastic collision,
Vcm = 100*Vg1/(100 + 200) = Vg1/3 cm/sec
Us = Vg1/3 cm/sec
Vs = Vcm+Us = 2*Vg1/3 = 190 cm/sec →
Vg1 = 285 cm/sec
y = Vg1²/2g = 285²/(2*981) = 41.4 cm
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