Question:A 1.5 kg mass is traveling to the left at 6.0 m/s. It then experiences an impulse represented in the F vs T graph. Find the following1) What is the total impulse given to the ball?2) What is the change in momentum of the ball?3) What is the final velocity of the ball?

QuestionA 15 kg mass is traveling to the left at 60 ms It then experiences an impulse represented in the F vs T graph Find the following1 What is the total impu class=

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ANSWER

(1) 20 N*s

(2) 20 N*s

(3) 19.3 m/s

EXPLANATION

The impulse experienced by an object equals the change of momentum of the object. From the F-t graph, the change in momentum is the area under the curve. The curve shown is a trapezium, so the area is,

[tex]J=\Delta p=\frac{1}{2}h(B+b)=\frac{1}{2}\cdot50N\cdot(0.3+0.5)s=20N\cdot s[/tex]

The impulse or change in momentum of an object is given by,

[tex]\Delta p=m\cdot\Delta v=m\cdot(v_f-v_i)[/tex]

Solving for vf,

[tex]v_f=\frac{\Delta p}{m}+v_i[/tex]

The impulse, as found before, is 20N*s, the mass of the ball is 1.5kg and the initial velocity is 6m/s,

[tex]v_f=\frac{20N\cdot s}{1.5kg}+6m/s\approx19.3m/s[/tex]