**Answer:**

The **time taken** by the **bar **to **reach the bottom t=4.886s**

**Given:**

Displacement of the bar S=9.2m

Angle of inclination

Coefficient of friction factor

**To find:**

How long it takes to reach the bottom ‘t’

<u>**Step by Step Explanation:**</u>

**Solution:
**

We know that the formula for weight of the soap bar is given as

**
**

The frictional force acting on this soap bar is determined by

**
**

To determine the constant acceleration of the bar, we derive as

** **

Here and thus

** **

**Where=Force imparted due to weight
**

** =Frictional Force
**

**m=Mass of the bar
**

**g=Acceleration due to gravity
**

**a=Acceleration of the bar
**

** and are the angles involved in the system
**

If the **bar starts** from **the rest**

**Equations of motion** involved in **calculating the displacement** of **the bar** is given as

** ,** From this

**Where s= displacement or length moved by the bar
**

**a=Acceleration of the bar
**

**t=Time taken to reach bottom
**

Substitute all the known values in the above equation we get

and we know that

**t=4.886s**

**Result:**

Thus the **time taken** by the **bar** to **reach the bottom** is **t=4.886s
**