So lets say I have a 10kg block atop a 10 m hill. Ignoring friction and air resistance, all the potential energy (1000J) is converted to kinetic energy at the bottom of the hill. This means the velocity of the block, 1/2mv^2 = 1000J = 14 m/s. Easy enough. Let's say friction is involved. Change in energy = q + w, iirc. So during the entire trip down the hill, kinetic friction, which is the force ON the block (right? since it is the force opposite that of the motion) does work ON the block. This work, measured in joules, is taken from the initial potential energy. But since work is done ON the block by gravity, a conservative force, and by friction, a nonconservative force, only the frictional force takes away some of the original energy. So let's say 200 J of work is done on the block due to friction as it slides down the hill, that means at the bottom of the hill there is only 800 J of kinetic energy giving a velocity of 12.6 m/s. So my question is, energy is lost due to the work by friction, but doesn't friction generate heat? Wouldn't the block heat up? So would the block have a velocity of 12.6 m/s at the bottom of the hill with 200J of heat energy?
I want a thorough understanding of conservation of energy because that's my only weak spot and I'm trying to grasp it 100%.
Just curious, if the block was made of a material with a specific heat capacity of (random number) 200 J/kgC, it would raise the temp of the 10kg block by 20C?
I want a thorough understanding of conservation of energy because that's my only weak spot and I'm trying to grasp it 100%.
Just curious, if the block was made of a material with a specific heat capacity of (random number) 200 J/kgC, it would raise the temp of the 10kg block by 20C?
