Question

23.
An aeroplane, which together with its load has a
mass M=9600kg, is falling with an acceleration of
a = 5 m/s?. If a part of the load equal to m kg be
thrown out, the aeroplane will begin to rise with an
acceleration of a = 5 m/s². Find the value of m?
(A) 6400
(B) 6450
(C) 6600
(D) 6700​

Answer 1

Answer:

6400 kg

Explanation:

An aeroplane, which together with its load has a

mass M=9600kg, is falling with an acceleration of

a = 5 m/s?. If a part of the load equal to m kg be

thrown out, the aeroplane will begin to rise with an

acceleration of a = 5 m/s². Find the value of m?

Force by Engine on Aeroplane = F

Force due to Gravity = Mg

Mg  - F  = Ma

=> F = M(g - a)

=> F = M(10 - 5)

=> F = 5M

Let say m kg weight is thrown

F - (M -m)g = (M-m)a

=> F = (M-m)(g + a)

=> F = (M -m)(10 + 5)

=> F = (M-m)15

5M = (M-m)15

=> M = 3M - 3m

=> 2M = 3m

=> m = 2M/3

=> m = 2 *9600/3

=> m = 6400

Answer 2

Force by Engine on Aeroplane = F

Force due to Gravity = Mg

Mg - F = Ma

=> F = M(g - a)

=> F = M(10 - 5)

=> F = 5M

Let say m kg weight is thrown

F - (M -m)g = (M-m)a

=> F = (M-m)(g + a)

=> F = (M -m)(10 + 5)

=> F = (M-m)15

=>5M = (M-m)15

=> M = 3M - 3m

=> 2M = 3m

=> m = 2M/3

=> m = 2 *9600/3

=> m = 6400