The string in the figure below is L = 120 cm long, has a ball attached to one end, and if fixed at its other end.  The distance d from the fixed end to a fixed peg at point P is 74 cm.  When the initially stationary ball is released with the string horizontal as shown, it will swing along the dashed arc.  What is its speed when it reaches its highest point after the string catches on the peg?  Use g = 10 N/kg.

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The string in the figure below is L = 120 cm long, has a ball attached to one end, and if fixed at its other end.  The distance d from the fixed end to a fixed peg at point P is 74 cm.  When the initially stationary ball is released with the string horizontal as shown, it will swing along the dashed arc.  What is its speed when it reaches its highest point after the string catches on the peg?  Use g = 10 N/kg.

L-
d
P
Transcribed Image Text:L- d P
Expert Solution
Step 1

As there are no dissipative forces present, the energy of the system remains conserved, , i.e. the total energy at any point in the path is constant, mere the distribution (between potential and kinetic energy) varies.

Initially the total energy of the system comprises only of potential energy as the ball is not moving so do kinetic energy is zero.

As the ball falls to the lowest point all of the potential energy is converted to kinetic energy, which give the velocity of the ball at lowest point as,

Ei=EfPEi+KEi=PEf+KEfmgL+0=0+12mv2v=2gL=2(10)(1.2)v=4.89m/s                     (1)

 

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