Calculating Force of a Falling Book: Mass, Velocity, and Impact Time"

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To calculate the force of a falling book on the floor, apply the impulse equation F · Δt = m · Δv. The mass of the book is 1.5 kg, with an initial velocity of 3 m/s before impact and a final velocity of 1 m/s after bouncing. The change in velocity (Δv) is 2 m/s, occurring over a time period (Δt) of 0.3 seconds. By substituting these values into the equation, the force can be determined. This analysis effectively demonstrates the application of Newton's second law in calculating impact force.
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a book falls off a bookshelf and hits the floor. given this info calculate the force of the book on the floor.
mass of the book 1.5kg the book touched the floor for .3 sec. the velocity of the book the moment the book hit the floor 3m/s.
the velocity of the book when it bounced off the floor 1m/s.
 
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Apply Newton's second law in the impulse form.

F \cdot \Delta t = m \Delta v
 
Further explanation: This formula can be called the impulse equation. It says that a Force acting over some period of Time \Delta t will create a change in momentum or velocity \Delta v.

Analyze the situation:
What is the change in the velocity of the book before and after impact?
How much time did it take for this change in velocity to happen?
Mass is given.

Can we then solve for force?
 

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