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10:51 AM webassign.net ..il T-Mobile (b) How much mechanical energy is lost in t

ID: 1791967 • Letter: 1

Question

10:51 AM webassign.net ..il T-Mobile (b) How much mechanical energy is lost in the collision? Your response differs from the correct answer by more than 10%. Double check your calculations. Account for this loss in energy. Score: 5 out of 5 Comment: Need Help?M A 0.440-kg pendulum bob passes through the lowest part of its path at a speed of 3.06 m/s. (a) What is the magnitude of the tension in the pendulum cable at this point if the pendulum is 78.0 cm long? (b) When the pendulum reaches its highest point, what angle does the cable make with the vertical? (Enter your answer to at least one decimal place.) Your response differs from the correct answer by more than 100%. (c) What is the magnitude of the tension in the pendulum cable when the pendulum reaches its highest point? Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. N Need Help? A 0.50-kg ball that is tied to the end of a 1.4-m light cord is revolved in a horizontal plane, with the cord making a30 angle with the vertical. See the figure below.

Explanation / Answer

(a)
T = mg + mv²/r
T = m(g + v²/r)
T = (0.440 kg)[(9.81 m/s²) + (3.06 m/s)²/(0.78m)]
T = 9.59 N

(b)
(1/2)mv² = mgy
(1/2)v² = gy
(1/2)(3.06 m/s)² = (9.81 m/s²)(y)
y = 0.4772 m

cos = (L - y)/L
cos = (0.78 - 0.4772 m) / (0.78 m)
= 67.2°

(c)
T = mgcos
T = (0.440 kg)(9.81 m/s²)cos67.2°
T = 1.67 N

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