Question

Dimensions of kinetic energy are the same as that of
A.Force
B.Acceleration
C.Work
D.Pressure

Answer 1

Hint: Kinetic energy is the energy of mass in motion. The kinetic energy of an object is the energy it has because of its motion. Energy is a scalar quantity, i.e., it does not depend on the direction, and it is always positive.

Complete answer:
The correct answer is C.
\[KE=\dfrac{1}{2}m{{v}^{2}}\]
for the kinetic energy the dimensional formula is\[KE=[M{{L}^{2}}{{T}^{-2}}]\]
the force is given by:
\[F=m\times a\]
for the force the dimensional formula is: \[[F]=[ML{{T}^{-2}}]\]
for the acceleration the dimensional formula is: \[[a]=[L{{T}^{-2}}]\]
work done is given as: \[W=F\times d\]
for the work done the dimensional formula is: \[[W]=[ML{{T}^{-2}}]\]
pressure is given by:
\[P=\dfrac{F}{A}\]
for the pressure the dimensional formula is: \[[P]=[M{{L}^{-1}}{{T}^{-2}}]\]
so, the dimension of kinetic energy is the same as that of work.
Kinetic energy is the energy which a body has as a result of its movement. Energy infers as the item's capacity to perform work. Active energy is the energy which an item contains in view of a specific movement.

Force is the push or the pull upon an object coming about because of the object's interaction with another object. At whatever point there is an interaction between two objects, there is an endless supply of the force. At the point when the interaction stops, the two objects no longer experience the force. Forces just exist because of interaction. Force are of two sorts of contact force and Action is a way off the force.

The word work in material science has completely unexpected importance in comparison to as we use in our everyday life. As per material science work is characterized as the dab or scalar result of force applied and dislodging moved because of that force.

Note: This suggests work is a scalar quantity (having greatness just). As work is the spot result of force applied and relocation, in the event that both the vector amounts are symmetrical to one another, at that point their dab item will be zero.