Question

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 30 N acts on a certain object, the acceleration of the object is 10 m/s. If the acceleration of the object becomes 3 m's>, what is the force? > Х 5 ? I Don't Know Submit Access 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center 44°F Claudy

Answer 1

The Solution:

We are required to find the force.

$\begin{gathered} F\propto a \\ \text{This implies that:} \\ F=ka \end{gathered}$

In this case,

F= force=30 N

a = acceleration = 3m/s

k = constant of proportionality = ?

We shall find the constant k by substituting the above values in the formula.

$\begin{gathered} F=ka \\ 30=k(10) \end{gathered}$

Dividing both sides by 10, we get

$k=\frac{30}{10}=3$

So,

The formula for finding Force is:

$F=3a$

To find the Force when a = 3m/s, we shall substitute 3 for a in the formula.

$F=3\times3=9N$

Therefore, the correct answer is 9 N