(a) What is the ratio of the kinetic energy after the collision to the kinetic energy before the collision? (answer: 1/16) (b) What is the ratio of the mass of the more massive object to the mass of the less massive object? (answer: 5/3)
(1) A car with mass 996 kg moving at 28 m/s hits a giant bag of marshmallows. The bag slows the car down, but it is unable to completely stop it because it ruptures at Dt = 1.8 s after the car hits, scattering marshmallows all over the countryside. Suppose the bag exerts a force on the car that depends on time (t) given by
F = -At2; A = 7.2 x 103 N/s2 when t is in seconds
(2) Two objects, moving towards each other with speed v, collide head on, stick together, and then move on with speed v/4 after the collision.
(a) What is the ratio of the kinetic energy after the collision to the kinetic energy before the collision? (answer: 1/16)
(b) What is the ratio of the mass of the more massive object to the mass of the less massive object? (answer: 5/3)
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