Question

question 1 - the force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation F=ma where m is the object's mass if a 12-newton force causes the object to accelerate to 3 m/s² , what is the object's mass? the unit for this mass is kg question 2 - what is the force needed to accelerate that same object to 7 m/s²? (the unit in force is (newtons)question 3 - what acceleration would that object need to achieve to create a force of 25 Newtons?

Answer 1

Hello

To solve this question, let's write out the data given.

$\begin{gathered} f=12N \\ a=3ms^{-2} \\ m=\text{?} \end{gathered}$

The formula for newtonian force is given as

$\begin{gathered} f=ma \\ 12=m\times3 \\ 12=3m \\ \text{divide both sides by the coefficient of m} \\ \frac{12}{3}=\frac{3m}{3} \\ m=4\operatorname{kg} \end{gathered}$

From the calculations above, the mass of the object 4kg