Rec09-ImpulseMomentum-SP23

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Phys 211 IMPULSE & MOMENTUM Readings: OpenStax Ch 9 An object’s momentum ( 𝑝𝑝⃗ ) depends on its mass and velocity: 𝑝𝑝⃗ = 𝑚𝑚𝑣𝑣 ⃗ An object’s momentum will not change unless a net force acts on the object. Whenever a force acts on an object over s ome �me, the force imparts an impuls e ( 𝐽𝐽 ⃗ ). The impulse imparted by a force 𝐹𝐹 ⃗ which acts on an object from �me 𝑡𝑡 𝑖𝑖 to 𝑡𝑡 𝑓𝑓 is: 𝐽𝐽 ⃗ = ∫ 𝐹𝐹 ⃗ d 𝑡𝑡 𝑡𝑡 𝑓𝑓 𝑡𝑡 𝑖𝑖 = 𝐹𝐹 ⃗ 𝑎𝑎𝑎𝑎𝑎𝑎 Δ𝑡𝑡 The net impulse imparted by the net force ac�ng on an object is the change of the object’s momentum: Δ𝑝𝑝⃗ = 𝐽𝐽 ⃗ 𝑛𝑛𝑛𝑛𝑡𝑡 Similarly, the momentum of a system will not change unless a net force acts on the system: this is the Conserva�on of Momentu m and will hold for all isolated systems. The momentum of a system is the vector summa�on of all of the momenta of the individual objects making up the system. Conserva�on of Momentum can also be writen in terms of the net, external force ac�ng on the system: 𝐹𝐹 ⃗ 𝑛𝑛𝑛𝑛𝑡𝑡 = d𝑝𝑝 ⃗ 𝑠𝑠𝑠𝑠𝑠𝑠 d𝑡𝑡 If there is not net force ac�ng on the system, the deriva�ve of the momentum with respect to �me is zero: this means the momentum of the system is constant. Sec�on #______________ Names: ____________________________ ____________________________ ____________________________
PHYS 211 RECITATION 2 Problem 1 . A baseball bat hits a 149 g baseball. The velocity of the ball is shown below for before & after the bat-ball collision, which lasted 0.02 seconds. 1) What was the change in momentum of the ball? 2) What was the impulse on the ball? 3) What was the impulse on the bat? 4) What was the average force exerted on the ball? BEFORE 40 m / s AFTER 60 m/s
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