Question

Which of the following combinations would result in the least acceleration?O 12N and 1.0 kgO 60N and 2.0 kgO IN and 0.20 kgO5N and 0.35 kg

Answer 1

Given that four pairs of force and mass.

(1) Force, F1 = 12 N and mass, m1 = 1 kg

(2) Force, F2 = 60 N and mass, m2 = 2 kg

(3) Force, F3 = 1 N and mass, m3 = 0.2 kg

(4) Force, F4 = 5 N and mass, m4 = 0.35 kg

To find the least acceleration among these.

In order to find the least acceleration, we have to find the acceleration of each pair.

According to Newton's second law,

`a\text{ = }(F)/(m)`

Here, a is acceleration, F is force and m is the mass.

For the first pair,

`\begin{gathered} a1=(12)/(1) \\ =12m/s^2 \end{gathered}`

For the second pair,

`\begin{gathered} a2=(60)/(2) \\ =30m/s^2 \end{gathered}`

For the third pair,

`\begin{gathered} a3=(1)/(0.2) \\ =5m/s^2 \end{gathered}`

For the fourth pair,

`\begin{gathered} a4=(5)/(0.35) \\ =14.28m/s^2 \end{gathered}`

On Comparing all the values of acceleration, the third pair (force=1 N and mass m=0.2 kg ) has the least acceleration of 5 m/s^2.