in this problem I'll talk about the conservation of energy from elastic potential energy to gravitational potential energy so we have a spring mass system here mass is connected to a spring or let's talk about here a mass is connected to a spring and this one is compressed and when this mass is released or when the spring is released what will happen this mass will move because this one is compressed against a spring so this one will move and start sliding down this plane here or the surrounding the question is how high this mass will move up on this inclined plane so the only thing you need to know is the conservation of energy here all the energy is in the form of elastic potential energy and here all the potential energy will be in the form of we have a tested potential energy remember the total energy at any point at any point is exactly the same and here we assuming there is no friction friction between the block and this inclined plane or here there's no friction at all we ignoring the the friction so if the friction force is ignored then the total energy of the system remains the constant that means there is only the conservation of energy the energy the elastic potential energy will change into the gravitational potential energy at this point again as I mentioned it is the total elastic potential energy here when you release the elastic potential energy is not changing into the kinetic energy in the kinetic energy and and the kinetic energy will now change into thee the gravitational potential energy at the maximum height it will have only the gravitational potential energy in between if the block is in between that it has both kinetic energy and they could have a decimal potential energy but as were interested in finding out the maximum height when it reaches to the maximum height it has only the the gravitational potential energy I need to make one minor correction this has to be gravitational potential in gravitational potential energy so nervous solve the problem now so when the spring was compressed then it has the only elastic potential energy when it reaches to the maximum height it has the woolie gravitational potential energy so what is the formula for the elastic potential energy it is half KX square K is a spring constant and X is a compression in the spring how much you compress the spring is the x value here or the displacement the mass the gravitational potential energy is mg s the time is the mass G is the acceleration due to gravity and H is the height so we solve for H which is KX squared over 2m 2 mg all the values are given now the spring constant is given which is hundred Newton per meter x value the spring the by how much you compress is given that is 20 centimeter and we need to change this 20 centimeter to meter keep in mind that everything has to be in the SI owners which is 0.2 to the mass of the block is also given which is 100 gram mass again you need to change this into SI system so the mass is now 100 gram which is 0.1 kilogram and Z is 9.8 so what I get here is 10 point two meter so that means this block will move up along the inclined plane by ten point two meter and I'll just let you know that if we ignore the friction force and if we ignore any other forces then it doesn't matter the slope even if this one if this is this way then still it would go ten point two meter everybody that is more at a smaller angle is still it will go to ten point two meter okay so it doesn't depend literally upon the angle of inclination of course if it is a vertical it it won't work and that's a separate topic but in this case it doesn't matter the angle of inclination as far as we ignore the frictional force so this is it for this elastic potential energy to gravitational potential energy or the energy conservation problem any questions please write down your questions in the comment section below and do not forget to Like share and subscribe