what is the answer for question 4 ? The string in the Figure is L = 119.0 cm lon

Question

what is the answer for question 4 ?

The string in the Figure is L = 119.0 cm long and the distance d to the fixed peg P is 96.4 cm. When the ball is released from rest in the position shown, it will swing along the dashed arc. How fast will it be going when it reaches the lowest point in its swing? How fast will it be going when it reaches the highest point in its swing (after the string encounters the peg)? In a rope climbing competition, a 66.4 kg athlete climbs a vertical distance of 4,88 in in 8.40 s. What minimum pawn output was used to accomplish this feat? what is the answer for question 4 ?

Explanation / Answer

in this problem string length L=119cm

L=1.19m

as ball moves from highest position to lowest position

ball moves =1.19m

as the ball moves downwards potential energy is converted into kinetic energy

mgh=0.5mv2

1.19*2*9.8=v2

v=4.82m/s

next ball moves 2r meters

L-d=2r

1.19-0.964=2r

2r=0.226

r=0.113m

ball moves =2*0.113

=0.226m

increase of potential energy

=m*9.8*0.226

decrease of kinetic energy

=m*9.8*0.226

KE at highest point of circular track=m*9.8*1.19-m*9.8*0.226

=m*9.8*0.964

0.5mv2=m*9.8*0.964

v at highest point of circular track arc

v=4.34m/s

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