a force of 45 N isvexerted on an object, resulting in an acceleration of 5 m/s^2 for the object what will the objects acceleration be if the force doubles

Respuesta :

Answer:

the acceleration will be 10 m/s^2

Explanation:

the force applied to an object and the acceleration of the object are directly proportional, as Newton's second law states:

[tex]F=ma[/tex]

where

F is the net force applied to the object

m is the object's mass

a is the object's acceleration

in the first example, a force F=45 N is applied to the object, giving it an acceleration of a=5 m/s^2. Therefore, the mass of the object is

[tex]m=\frac{F}{a}=\frac{45 N}{5 m/s^2}=9 kg[/tex]

In the second example, the force is doubled, so it will be F=90 N. The mass is still m=9 kg, so the acceleration will be

[tex]a=\frac{F}{m}=\frac{90 N}{9 kg}=10 m/s^2[/tex]