A sling, made of a flimsy piece of rope, can withstand a maximum tension of 172

Question

A sling, made of a flimsy piece of rope, can withstand a maximum tension of 172 N. The length of the sling rope is 46 cm. The slinger spins the sling with a                     constant speed in the vertical plane and uses an underhand motion to release a stone when its velocity vector points exactly 51 degrees above the horizon. If                     the mass of the stone is 47 grams, how far can the stone be thrown this way without breaking the rope during windup? Use g = 9.8 m/s2 in                     your calculations.                 

Explanation / Answer

mv^2/r = 172
v = sqrt(172*0.46/ 0.047)
so with this velocity mass is thrown at an angle of 51 degrees to the horizontal
so use the projectile motion to calculate the range of the mass.

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