Question 1 5 pts A crane is being used to lift a container onto a cargo ship. Th

Question

Question 1 5 pts A crane is being used to lift a container onto a cargo ship. The crane initially lifts the container up with a constant positive (upwards is positive) acceleration, alift. The crane then reduces the tension in the cable so that the container slows to a stop with a constant negative (downward) acceleration, astop =-2 alift. Assume the acceleration goes directly from upwards to downwards with no time between the two. The container has a mass of 588.6 kg, the total distance the container is lifted is 9.1 m, and the tension in the cable lifting the container is 6238 N while the container is accelerating upwards. What is the largest velocity of the container during the entire lift? Give you answer in m/s to at least three digits. You are not graded on the number of significant digits, this is just to avoid being counted wrong due to rounding errors. Do not include units in your answer.

Explanation / Answer

Acceleration of container = (T - mg)/m = (6238 - 588.6×9.8)/588.6 = 0.798 m/sec2

Lift = 9.1 m

Using third equation of motion

V2 = u2 +2aH

V2 = 2×0.798×9.1 = 14.5236

V = 3.81 m/sec

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.