A transport plane takes off from a level landing field with two gliders in tow, one behind the other. The mass of each glider is 700 {kg}, and the total resistance (air drag plus friction with the runway) on each may be assumed constant and equal to 2100N . The tension in the towrope between the transport plane and the first glider is not to exceed 12000 ( N}.

Question

A)If a speed of 40 { m/s} is required for takeoff, what minimum length of runway is needed?

B)What is the tension in the towrope between the two gliders while they are accelerating for the takeoff?

Answer 1

A)
2ma=F-2T = >
a=(F-2T)/2m = (12000-2•2100)/2•700 = 5.57 m/s²
s=v²/2a = 40²/2•5.57 =143.6 m.
B)
T₁=ma +F(fr) =700•5.57 + 2100 =5999 N

Answer 2

This is correct, thanks!

Answer 3

balls with such immense density and mass, we are required to calculate the gravitational pull it has on an object vastly smaller in density and mass.

Answer 4

Elena is correct. No reason for the thumbs down. Just plug in your own values as they're most likely different.

Answer 5

Don't forget to put a parentheses between the / and the 2 and one at the end if you using a calculator. I think that's messing people up.