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Theorγ
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Homework Statement
A helicopter with mass 15,000 kg is lifting a truck with mass 4,500 kg up in the air with acceleration 1.4 m/s^2. The helicopter lifts using a rope. Calculate the tension of the rope and the net upward force of the helicopter.
m1 = mass of helicopter = 15,000 kg
m2 = mass of truck = 4,500 kg
a net = 1.4 m/s^2
g = -9.8 m/s^2
Homework Equations
F = ma
T = m(a + g)
The Attempt at a Solution
I first calculated normal and weight forces of the two objects, obtaining ±147,000 N for the helicopter and ±44,100 N. I then I tried to calculate the net upward force by subtracting the two opposing forces of the two objects:
Fn1 - Fg2 = 102900 N
The tension I tried to calculate by using the second equation:
T = m(a + g)
T = 4500 *( 1.4 + 9.8)
T = 50,400 N
So now can someone tell me if this is all correct? And also can someone properly explain to me how the tension equation is actually derived, because the main problem I encountered when solving this problem was that I didn't really know how tension was used, and resorted to cheating by using the equation above...