A block initially at rest has a mass m and sits on a plane incline at angle. it slides a distance d before hitting a spring and compresses the spring by a mazimum distance of xf. If the coefficient of kinetic friction between the plane and block is uk, then what is the force constant of the spring?

Explanation:

Let assume that spring reaches its maximum compression at a height of zero. The system is modelled after the Principle of Energy Conservation and the Work-Energy Theorem:

The spring constant is cleared in the expression described above:

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min