a meter stick is held vertically with one end on thefloor and is then allowed to

Question

a meter stick is held vertically with one end on thefloor and is then allowed to fall. find the speed of theother end when it makes a 45 degree angle with the floor, assumingthat the end on the floor does not slip. an alpha particle, m=4 collides elastically with a calciumatom, m=20, at rest. the initial velocity of the alphaparticle is Vi m/s. after collision the alpha particle has avelocity 10i-5j m/s. is the velocity os the calcium atomafter collision is vxi=vyj. find all the unknowns in theproblem. a meter stick is held vertically with one end on thefloor and is then allowed to fall. find the speed of theother end when it makes a 45 degree angle with the floor, assumingthat the end on the floor does not slip. an alpha particle, m=4 collides elastically with a calciumatom, m=20, at rest. the initial velocity of the alphaparticle is Vi m/s. after collision the alpha particle has avelocity 10i-5j m/s. is the velocity os the calcium atomafter collision is vxi=vyj. find all the unknowns in theproblem.

Explanation / Answer

According to conservation of energy we have          K + U = K ' + U '          0 + 0.5mgL = 0.5 I2 + 0 ==> 0.5 mgL = 0.5 (mL2 /3)2 ==> = 3g/L Therefore          V = Lcos = [3g / L] * L * cos45            = 3.834 m/s

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