Kofi, with mass 42.00 kg, is riding a skateboard with a mass of 2.00 kg and traveling at 1.20 m/s. Kofi jumps off and the skateboard stops dead in its tracks. In what direction and with what velocity did he jump

Respuesta :

He jumped off with a velocity of 1.26 m/s in the same direction as the skateboard .

Conservation of linear momentum

According to the principle of conservation of linear momentum, the total momentum of a system is constant. Hence;

Total momentum before = (42.00 kg + 2.00 kg)  1.20 m/s = 52.8 Kgm/s

Total momentum after = (42.00 kg × v) + (2.00 kg × 0) = 42.00 v Kgm/s

Applying the law of conservation of linear momentum;

52.8 Kgm/s =  42.00 v Kgm/s

v = 52.8/42.00

v = 1.26 m/s

He jumped off with a velocity of 1.26 m/s in the same direction as the skateboard .

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