whats the answer for these 2 questions ? In a rope climbing competition, a 66.4

Question

whats the answer for these 2 questions ?

In a rope climbing competition, a 66.4 kg athlete climbs a vertical distance of 4.88 m in 8.40 s. What minimum power output was used to accomplish this feat? Answer: A 2102 kg block of granite is pulled up an incline that has an angle of inclination of 24.0 degree with a constant speed of 2.62 m/s by a steam winch (see Figure). The coefficient of kinetic friction between the block and the incline is 0.270. How much power must be supplied by the winch? A block of mass m = 3.10 kg is released from rest at a height of H = 7.00 m on a curved frictionless ramp. At the foot of the ramp is a spring whose spring constant is k = 484.0 N/m. What is the maximum compression of the spring, x?

Explanation / Answer

weight of block = 2102*9.8 = 20599.6 N
Fn = 20599.6* Cos( 24)= 8737.9 N ---> normal force
Fwsin = 20599.6*Sin( 24) =-18654.5 N

Fk = uk * Fn = 0.270*8737.9 N = 2359.2 N --->Force friction
F = Fwsin + Fk

F=-18654.5 +2359.2 N

=-16295.2N
Power = F*v = (-16295.2)*2.62 = 42367.6 J/s

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