A business jet of mass 40000 kg takes off when the thrust for each of two engines is 24000 N . Part A Find its acceleration. Express your answer to two significant figures and include the appropriate units.

Respuesta :

We will solve this problem by applying Newton's second law for which Force is expressed as the product between mass and velocity. To find the net force we will consider the thrust between the two engines. Thus, our values would be given as:

[tex]m = 40000kg[/tex]

Each engine has a thrust of [tex]F_1 = 24000 N[/tex]

We have two engines, then

[tex]F_t = 2F_1[/tex]

[tex]F_t = 2*24000 = 48000N[/tex]

By Newton's law

[tex]F = ma[/tex]

Where a is the acceleration of jet

[tex]a = \frac{F}{m}[/tex]

[tex]a = \frac{48000}{40000}[/tex]

[tex]a = 1.2m/s^2[/tex]

Therefore the acceleration of the Business jet is [tex]1.2m/s^2[/tex]

The acceleration of business jet is  [tex]1.2 \;\rm m/s ^{2}[/tex].

Given data:

The mass of business jet is, m = 40000 kg.

The thrust produced by each of two engines is, F = 24000 N.

The given problem can be solved by applying Newton's second law for which Force is expressed as the product between mass and acceleration. To find the net force we will consider the thrust between the two engines.

We have two engines, then net thrust is,

[tex]F'=2F\\\\F' = 2 \times 24000\\\\F' =48000 \;\rm N[/tex]

Then as per the Newton's second law,

[tex]F' = m \times a\\\\48000 = 40000 \times a\\\\a = 1.2 \;\rm m/s ^{2}[/tex]

Thus, we can conclude that the acceleration of business jet is [tex]1.2 \;\rm m/s ^{2}[/tex].

Learn more about the Newton's second law here:

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