9. a 1.80 kg block slides on a rough horizontal surface. the block hits a spring with a speed of 2.5m/s and compresses it a distance of 13cm before coming to rest. if the coefficient of kinetic friction between the block and surface is 0.560, what is the force constant of the spring? (use non-conservative energy principle to solve this problem)

k = 513.7 N/m

Explanation:

given,

mass of block = 1.80 Kg

Speed at which block hit spring = 2.5 m/s

compression length(x) = 0.13 m

coefficient of kinetic friction = 0.56

force constant of the spring =?

non conservative work done by the frictional force

W = -f d

W = - μ mg x...............(1)

non conservation work done

Work done is change in energy

.........(2)

equating equation (1) and (2)

k = 513.7 N/m

force constant for spring is equal to k = 513.7 N/m

does anyone know or what?

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force