Two blocks are free to slide along a frictionless wooden track ABC as shown in F

Question

Two blocks are free to slide along a frictionless wooden track ABC as shown in Figure P9.20. The block of mass m _1 = 4.95 kg is released from A. Protruding from its front end is the north pole of a strong magnet, repelling the north pole of an identical magnet embedded in the back end of the block of mass m _2 = 9.10 kg, initially at rest. The two blocks never touch. Calculate the maximum height to which m _1 rises after the elastic collision. 0.14916 Your response differs from the correct answer by more than 10%. Double check your calculations. m Two blocks are free to slide along a frictionless wooden track ABC as shown in Figure P9.20. The block of mass m _1 = 4.95 kg is released from A. Protruding from its front end is the north pole of a strong magnet, repelling the north pole of an identical magnet embedded in the back end of the block of mass m_2= 9.10 kg, initially at rest. The two blocks never touch. Calculate the maximum height to which m _1 rises after the elastic collision. 0.14916

Explanation / Answer

Kinetic energy and momentum are conserved in elastic collision. As a result, the relative speed of the two bodies

has the same magnitude and the opposite direction or sign.

v1i = sqrt(2gh) = 9.9045 m/s, v2i = 0.

vreli = v1i-v2i = 9.9045 m/s

vrelf = - vreli

vCM = v1i*m1/(m1+m2) = 3.4895 m/s

v1f = vCM+vrelf*m2/(m1+m2) = -2.9255 m/s

h = v1f^2/(2g) = 0.4362 m

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