Mass from velocity and newtons
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Mass from velocity and newtons

[From: ] [author: ] [Date: 11-09-08] [Hit: ]
40 x 10^5 N (= 15.7 tons).What is the weight of the plane?If the answer is 1.19 x 10^6 N how would I get there?~thanks.......
A jet plane starts from rest on the runaway and accelerates for takeoff at 2.30 m/s^2 (=7.55 ft/s^2). It has two jet engines, each of which exerts a thrust of 1.40 x 10^5 N (= 15.7 tons). What is the weight of the plane?

If the answer is 1.19 x 10^6 N how would I get there?

~thanks.

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Use Newton's second law, F = m a.

Here F equals twice the thrust of one engine, so 2.80 x 10^5 N in total, and a=2.30 m/s^2 .

From that you find the mass:

m = F / a = 2.80 x 10^5 N / (2.30 m/s^2) = 1.22 x 10^5 kg

With the mass now calculated, the weight follows from

F = m g
= 1.22 x 10^5 kg * 9.81 m/s^2 = 1.19 x 10^6 N
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