Question

An object has an acceleration of 18.0 m/s/s. If the net force

acting upon this object were halved (i.e., one-half of the
original net force), then its new acceleration would be
m/s/s.

Answer 1

`9\ m/s^2`

Step-by-step explanation:

Net Force

The Second Newton's law states that an object acquires acceleration when an external unbalanced net force is applied to it.

The acceleration is proportional to the net force and inversely proportional to the mass of the object.

It can be expressed with the formula:

`\displaystyle a=(F_n)/(m)`

Where

Fn = Net force

m = mass

An object has an acceleration of
`18\ m/s^2`, thus:

`\displaystyle (F_n)/(m)=18\ m/s^2`

If the new force is halved:

F' = F_n/2, the new acceleration will be:

`\displaystyle a'=(F_n/2)/(m)`

`\displaystyle a'=(1)/(2)\cdot(F_n)/(m)`

Substituting the given acceleration:

`\displaystyle a'=(1)/(2)\cdot 18\ m/s^2`

`\displaystyle a'=9\ m/s^2`

The new acceleration is
`9\ m/s^2`