Question 23 of 37 Incorrect Incorrect Sapling Learning macmillan learming Mapa A

Question

Question 23 of 37 Incorrect Incorrect Sapling Learning macmillan learming Mapa A 7.41-kg object constrained to move along the x-axis is subjected to a time-varying force as shown on the graph below. Find the change in the object's velocity over the specified time intervals a) Between t 0 s and = 5.11 s Force vs. Time Number 15 12 v = | | 8.28 m/ s b) Between t = 4.71 s and t-10 s (N) Number v= | | 5.29 m/ s 12 4 10 12 16 18 20 c) Between = 10 s and t-17.3 s t (s) Incorrect Remember that the area of a triangle is given by Number m/s × base × height You can use this to find the area between the curve and the axis in parts b) and c) Previous Give Up & View Solution Try Again Next t] Exit

Explanation / Answer

a)

ti=0 s to ti=5.11s ,Here change in momentum is given by

dP=(5.11-0)*(12-0)=61.32 Kg-m/s

Change in object velocity is

dV=dP/m =61.32/7.41

dV=8.28 m/s

b)

dP=(7-4.71)*12+(10-7)*12=63.48 kg-m/s

dV=63.48/7.41=8.57 m/s

c)

dP=(1/2)*(-6)*(14-10)+(1/2)(-6-3)*(17.3-14)=-26.85 Kg-m/s

dV=-26.85/7.41=-3.63 m/s

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