Question

An object has an acceleration of 18.2 m/s/s. If the net force experienced by the object is

decreased by a factor of 3.9, then the new acceleration would be ___m/s/s. Enter a numerical
answer.

Answer 1

46.2m/s²

Step-by-step explanation:

Given parameters:

Acceleration = 18.2m/s²

Original force = F

Decrease factor = 3.9

Unknown:

New acceleration = ?

Solution:

Let the original force = F

new force =
`(F)/(0.39)`

Original acceleration = 18.2m/s²

new acceleration = ?

According to newton's second law of motion;

Force = mass x acceleration

So,

mass =
`(Force)/(Acceleration)`

So; initial mass = final mass

`(F )/(18.2)` =
`((F)/(0.39) )/(acceleration)`

`(F)/(0.39)` x 18.2 = F x acceleration

Acceleration = 46.2m/s²