Newton's Second Law and jetpacks

AI Thread Summary
Three astronauts use jetpacks to exert forces on a 120kg asteroid, with specific force vectors defined. The net force is calculated by combining the individual forces, resulting in a formula for acceleration using Newton's Second Law. The calculations for each force component are detailed, leading to the net force divided by mass to find acceleration in unit vector notation. The discussion confirms that the approach and calculations are largely correct, with minor typos noted. The overall analysis demonstrates the application of Newton's Second Law in a practical scenario involving propulsion and motion.
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Three astronauts, propelled by jetpacks, push a 120kg asteroid toward a processing dock, exerting the forces
F1 = 32N at 30 degrees above the horizontal
F2 = 55N on the horizontal
F3 = 41N below 60 degrees below the horizontal

what is the asteroids acceleration in unit vector notation?

m = 120kg
F2 = (5N)i

F1+F2+F3 = ma

F1 = (32N cos30deg) , (32N sin30deg)
F1 = (27.7)i + 16j

F3 = (41N cos-60deg) , (41N sin-60deg)
F3 = (20.5N)i - (35.5N)j

Fnet = ma
Fnet/m = a
(27.7/120 +55 + 20.5/120)i , (-35.5/120 + 16/120)j = a

Is this right so far?
 
Last edited:
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Apart from a couple of typos, yes it's correct.
 
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