A block of mass m0 is placed against ( but is not attached to ) compressed sprin

Question

A block of mass m0 is placed against ( but is not attached to ) compressed spring on a rough horizontal surface. the spring is releasedat time 1 and the block passes the equilibrium position of the spring, a distance d to the left of the point of release, at time 2 At time 2 the block has speed v

at time 3 the block stops, after it has traveled another distance d ( that is, the total distance the block traveled is 2d)

1- Is the increase in thermal energy of the system block -spring floor during the interval between Time 1 and time 2 greater than, less than , or equal to the increase in thermal energy of the system during the interval between time 2 and time 3 ?

2- Do an energy analysis for the system block -spring-floor to determine the coefficient of kinetic friction between block and the horizantal surface in term of m0, v, g and d ,

explian

Explanation / Answer

1- thermal energy of the SYSTEM is conserved always... so it will be equal between times 1,2 or 2,3

note that thermal energy of just the block might change but of the whole system it wont change..

2 -

f*d = 1/2mv^2

f is friction force = uN = umg

f*x or f*d is work done by friciton force

so we get

umg*d = 1/2mv^2

u = 1/2v^2/gd

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