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A constant force is applied to an object, causing the object to accelerate at 9.0 m/s2 . What will the acceleration be if the force is doubled?

Respuesta :

When the constant force applied to an object, causing an acceleration of 9.0 m/s², is doubled, the final acceleration is also doubled.  

The acceleration is related to the force by Newton's second law:

[tex] F = ma [/tex]

Where:

F. is the force applied

m: is the object's mass

a: is the acceleration

For the first case, when a constant force is applied and the acceleration is 9.0 m/s², we have:

[tex] F_{1} = ma_{1} = 9m [/tex]   (1)

Now, when the force is doubled:

[tex] F_{2} = ma_{2} [/tex]

[tex] 2F_{1} = ma_{2} [/tex]  

[tex] a_{2} = \frac{2F_{1}}{m} = \frac{2*9m}{m} = 18 m/s^{2} [/tex]

Therefore, when the force doubles, the acceleration also doubles.

To find more about Newton's second law, go here: https://brainly.com/question/23845187?referrer=searchResults  

I hope it helps you!