Answer :
Final answer:
The acceleration of the rescuer and victim, when a 1200N force is exerted by a winch and their combined mass is 120kg, is calculated to be 10 m/s² using Newton's second law of motion.
Explanation:
To calculate the acceleration of the rescuer and the victim, we make use of Newton's second law of motion, which states that the force applied to an object is proportional to its mass and the resulting acceleration, given by the equation F=ma.
In this situation, where the force of the winch is 1200N and the combined mass (m) of the rescuer and victim is 120kg, you can substitute these values into the equation to solve for acceleration (a): a = F/m = 1200N/120kg = 10 m/s².
In terms of a free-body diagram, it would depict the force from the winch acting upward and the force of gravity acting downward. The net force is the difference between these two forces, determining the system's acceleration. Since we are only considering the force from the winch and assuming the effects of air resistance and friction are minimal, these are the only forces at play.
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The rescuer and victim's accceleration when 1200N of force is applied will be 0.2m/s².
forces in the y direction: upward force + down force
Due to the downward weight, this is bad. The weight of the people
W = mg
W = 120 kg × (-9.8 )m/s²
W = -1176 Nt
Force up. This is positive because the helicopter is lifting the two people.
F = 1200 Nt
∴ F + W = 24 Nt
The direction is positive, meaning that the people are being moved up.
∵ F = ma
24 Nt = 120 kg × a
acceleration (a) = 24 Nt / 120 kg = 0.2 m/s²
What is force?
A push or pull that an object experiences as a result of interacting with another object is known as a force.
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