Find work given mass, acceleration, and time.

AI Thread Summary
To find the work done by the lifting force on a 510 kg helicopter ascending with an acceleration of 2.30 m/s² over 5.50 seconds, the force is calculated as 1173 N using the formula F = m(a). The distance traveled during this time is determined to be approximately 34.79 m using the equation d = 0.5(a)t². The work done is then calculated by multiplying the force by the distance, resulting in approximately 40,805.74 Joules. The calculations confirm that the equations used are appropriate for this scenario. Overall, the problem illustrates the relationship between mass, acceleration, distance, and work in physics.

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Gshaq Pierre
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Homework Statement



A 510 kg, light-weight helicopter ascends from the ground with an acceleration of 2.30 m/s^2.
Over a 5.50 s interval, what is the work done by the lifting force?

a=2.3m/s^2
m=510kg
t=5.5s




Homework Equations




f=m(a)
d=.5(a)t^2
W=F(Cosθ)*d



The Attempt at a Solution



Find force = m(a) = 510kg*2.3m/s^2 = 1173N

Find distance = .5(a)t^2 = 34.7875m

use this force and distance in w=f(d) to find work (in Joules):

1173*34.7875 = w
w = 40805.74J
 
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Ok this is fairly simple, if the helicopter travels at a speed of 2.3m/s^2 and it traveled for 5.5 seconds, then how many meters did it travel in that 5.5 seconds? That is the distance.
 
I'm not going to ask you to do it for me, but using the equation above, I already solved for distance. Unless that is the wrong equation.
 
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