A 1.0 kg book initially at rest falls from a height of 1.5 mto the floor. (a) Ta

Question

A 1.0 kg book initially at rest falls from a height of 1.5 mto the floor. (a) Take the origin of your coordinate system atthe starting point, 1.5 m above the floor, and calculatethe initial gravitational potential energy, the final gravitationalpotential energy (just before the book hits the floor),and the change in the gravitational potential energy. Show yourwork. A 1.0 kg book initially at rest falls from a height of 1.5 mto the floor. (a) Take the origin of your coordinate system atthe starting point, 1.5 m above the floor, and calculatethe initial gravitational potential energy, the final gravitationalpotential energy (just before the book hits the floor),and the change in the gravitational potential energy. Show yourwork.

Explanation / Answer

as the origin is at the starting point the potential energy at thispoint (initial)point is 0 we have from work energy theorem thatUi-Uf=work done by the conservative force Ui=0J hence -Uf=1*1.5*9.8 =work done bygravitational force=change in gravitational potential energy Uf=final potential energy =-14.7J

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