# Acceleration of Block on Horizontal Smooth Surface

## Acceleration of Block on Horizontal Smooth Surface

Acceleration of an object is defined as its rate of change of velocity at that instant. It is denoted as “a” and the units are$$m/{{\sec }^{2}}$$. Any object experiencing an unbalanced force, constant or variable show acceleration (or) Any object undergoing a change in its velocity either magnitude or direction or both is said to be accelerated.

1) When a pull is horizontal:

$$Reaction\,force\left( R \right)=mg\,and\,F=ma\Rightarrow Acceleration\left( a \right)=\frac{Force\left( F \right)}{Mass\left( m \right)}$$

2) When a pull is acting at an angle $$\left(\theta \right)$$ to the horizontal (upward):

$$R+F\sin \theta =mg\Rightarrow R=mg-F\sin \theta \,and\,F\cos \theta =ma\Rightarrow Acceleration\left( a \right)=\frac{F\cos \theta }{m}$$

3) When a push is acting at an angle $$\left(\theta \right)$$ to the horizontal (downward):

$$R=mg+F\sin \theta \,and\,F\cos \theta =ma\Rightarrow Acceleration\left( a \right)=\frac{F\cos \theta }{m}$$