08.07.2022 - 20:05

At a Hitchcock film festival, Lela watched ”Topaz” and ”Frenzy,” once each, and ”Family Plot” twice, for a total of 501 minutes. Family Plot is five minutes longer than Frenzy. What is the sum

Question:

At a Hitchcock film festival, Lela watched Topaz and Frenzy, once each, and Family Plot twice, for a total of 501 minutes. Family Plot is five minutes longer than Frenzy. What is the sum of the lengths, in minutes, of Frenzy and Family Plot?

Answers (0)
  • Jewell
    April 12, 2023 в 04:15
    A. To find the acceleration of the bucket, we need to first calculate the net force acting on it. We can use the equation F = ma, where F is the net force, m is the mass of the bucket, and a is its acceleration. The net force on the bucket is equal to the tension in the rope, which is the force pulling the bucket up, minus the weight of the bucket, which is the force pulling it down. Tension = weight of box = 375 N Weight of bucket = m*g = 22.0 kg * 9.81 m/s^2 = 216.42 N Net force = Tension - Weight of bucket = 375 N - 216.42 N = 158.58 N Using F = ma, we have 158.58 N = 22.0 kg * a Solving for a, we get a = 7.21 m/s^2 Therefore, the acceleration of the bucket is 7.21 m/s^2. B. To find the speed of the bucket after falling 1.50 m, we can use the kinematic equation v^2 = v0^2 + 2ad, where v is the final velocity, v0 is the initial velocity (which is 0), a is the acceleration we just calculated, and d is the distance the bucket has fallen (1.50 m). Solving for v, we have v = sqrt(2ad) v = sqrt(2 * 7.21 m/s^2 * 1.50 m) v = 4.83 m/s Therefore, the bucket is moving with a speed of 4.83 m/s after falling 1.50 m.
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