STC 6% ? webassign.net A puck of mass 0.510 kg is attached to the end of a cord

Question

STC 6% ? webassign.net A puck of mass 0.510 kg is attached to the end of a cord 1.30 m long. The puck moves in othe cince, a horizontal circle as shown in the figure. If the cord can withstand a maximum tension of 40.0 N, what is the maximum speed at which the puck carn move before the cord breaks? Assume the string remains horizontal during the motion A fonce Conceptualize It makes sense that the stronger the cord, the faster the puck can move before the cord breaks. Also, we expect a more massive puck to break the cord at a lower speed. (Imagine whirling a bowling ball on the cord!) Categorize Because the puck moves in a circular path, we model it as a particle in uniform circular motion. ncorporate the econd law Selve for v have, which correspends to the maximu ension the SD kg can withstand Finalize Equation (1) shows that v increases with T and decreases with larger m, as we expected from our conceptualization of the problem. Calculate the tension in the cord if the speed of the object is 7.0 m/s. Need Help? ?l_ii Show My Work (Required) What steps or reasoning did you use? Your work counts owards your score. You can submit show my work an unlimited number of Nos to Deplay

Explanation / Answer

Vmax = sqrt (Tmax x r/ m) = sqrt (40 x 1.30/ 0.510) = 10.10 m/s

Tension, T = mv2/r = (0.51 x 7 x 7)/1.30 = 19.22 N

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