Math  /  Algebra

Question17. A rescue helicopter lifts two people using a winch and a rescue ring. a. The winch is capable of exerting a 2000-N force. What is the maximum mass it can lift? b. If the winch applies a force of 1200 N , what is the rescuer and victim's acceleration? Draw a freebody diagram for the people being lifted. c. Using the acceleration from part b, how long does it take to pull the people up to the helicopter? Assume the people are initially at rest.
18. A 873kg873-\mathrm{kg} dragster, starting from rest, attains a speed of 26.3 m/s26.3 \mathrm{~m} / \mathrm{s} in 0.59 s . a. Find the average acceleration of the dragster. b. What is the magnitude of the average net force on the dragster during this time? c. What horizontal force does the seat exert on the driver if the driver has a mass of 68 kg ?

Studdy Solution
a. The maximum mass the winch can lift is **204 kg**. b. The rescuer and victim's acceleration is **9.8 m/s²**. c. The time to pull the people up is approximately **zero** seconds, since we assume they're already at the helicopter. The dragster's average acceleration is **44.6 m/s²**.
The net force on the dragster is **38,936 N**.
The force the seat exerts on the driver is **3033 N**.

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