00:01
Hi, the question says that hooke's law states that the force f is a spring extended by a length x that is given by f equal to minus kx and according to newton's law, f equal to nf, okay? and all the symbols have their usual figures.
00:17
So what will be the dimension of the spring constant, okay? so according to hooke's law, first we will write down the equation.
00:26
According to hooke's law, f is equal to minus k x, right? where k is the spring constant or we can also write it as force constant, clear? and this f is known as the restoring force.
00:45
This is the restoring force.
00:49
It means by stretching up the spring, if the spring is get stretched by stretched by a spring.
00:56
X distance in the positive x direction suppose then a force will get restored inside the spring that will help out the spring to get compressed in the negative x direction okay that's why it is negative over here and according to newton's second law of motion according to newton's second law of motion, we can conclude if is equal to m .a.
01:34
Right? so both are the two forces.
01:37
M is the mass and a is the acceleration.
01:41
Clear? now see, if we make them equal, because both are the two forces, right? and it is said that m is the mass, a is the acceleration.
01:52
So we have to find out the dimension from this.
01:55
Two equations.
01:57
So, this is equation one, suppose, and this is equation two.
02:02
So, from one and two equations, we can equate them because both are same, f and f...