Understanding the Concepts
* Impulse: The change in momentum of an object. It's calculated as the force applied multiplied by the time interval the force acts.
* Momentum: A measure of an object's mass in motion. It's calculated as mass multiplied by velocity.
* Impulse-Momentum Theorem: States that the impulse acting on an object equals the change in its momentum.
Calculations
1. Calculate the Impulse:
* Impulse (J) = Force (F) * Time (Δt)
* J = 150 N * 0.02 s = 3 Ns
2. Apply the Impulse-Momentum Theorem:
* Impulse (J) = Change in Momentum (Δp)
* Δp = Final Momentum (p_f) - Initial Momentum (p_i)
* Since the book is initially at rest, p_i = 0
* Therefore, J = p_f
3. Calculate the Final Velocity:
* Momentum (p) = mass (m) * velocity (v)
* 3 Ns = 0.3 kg * v
* v = 3 Ns / 0.3 kg = 10 m/s
Answer: The final velocity of the book is 10 m/s.
