Question

+10 points

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 8 N acts on a certain object, the acceleration of
the object is 4 m's?. If the force is changed to 18 N, what will be the acceleration of the object?

Answer 1

`9\ m/s^2`

Explanation:

For a moving object, the force acting on the object varies directly with the object's acceleration.

F ∝ a

or

`(F_1)/(a_1)=(F_1)/(a_2)`

Put F₁ = 8 N, a₁ = 4 m/s², F₂ = 18 N and a₂ = ?

Put all the values,

`(8)/(4)=(18)/(a_2)\\\\2=(18)/(a_2)\\\\a_2=9\ m/s^2`

So, the new acceleration is
`9\ m/s^2`.