Question

Work done by any object is proportional to its mass and its velocity. Establish the formula of work with help of

dimension.​

Answer 1

Answer:

Explanation:

Hey, here is a your answer:-

Dimension of Work

In order to calculate the dimension of any physical quantity, it is necessary to consider the definition and formula of the quantity with the known dimensions.

Work is a scalar quantity. It is a scalar product of force and displacement. The displacement of the object may or may not be due to the applied force.  

For example, work is applied to throw a ball upwards, but when the ball returns to the ground, a gravitational force acts on it rather than the actual applied force. A force that is equal to the ball’s weight acts on it.

A constant force F is applied to an object causing a displacement s in the object, and if the angle between force and displacement is θ, then the work done by the force is given by,  

W = Fs cosθ.

Work was done to an object either displace it or transfers energy from one place to another or from one form to another

SI unit of work is Joule, also depicted as J.

W=F →. ∆x →

This can also be written as:

W=F. l∆x →l.cos⁡(θ),

Where,

θ = angle between the force and the displacement vector.

The cosine of the angle is dimensionless. The dimension of displacement is that of length, L, or meters.

The force is measured in the units of Newtons, which is a unit composed of other fundamental units:

1N=kg.ms2

Therefore, the dimension of force is the dimension of work.  

In the metric system, work is measured in the SI unit Joule.

1J=N.m=kg.ms2

Hope this helps