In the figure provided, a 119 g ball on a 78.9 cm rope is swung in a vertical circle about a point 249 cm above the ground. If the tension in the rope when the ball is at the very bottom of the circle is 8.80 N and a pair of scissors cuts the string directly below the point of support, how far to the right of where the string was cut does the ball hit the floor?

Answer 1

time to fall vertically: t=sqrt(2h/9.8)=sqrt(2*(2.49-.789)/9.8)=... do that
velocity at bottom:
a=v^2/r or
v=sqrt(a*r)=sqrt(8.8*.789)
distance traveled in falling= v*t