Since antiquity people have used the sling to increase the speed of a rock and send it swiftly in a specific
direction. While the rock is being spun overhead, the force that keeps the rock moving in a circle is provided by
the tensile strength of the sling material. Leather has a fairly high tensile strength, so that a strip of leather with
a cross-sectional area of 0.25 cm2can withstand a pulling force of 800 N. Assume that, for a certain sling, 8.00
10²N is the largest possible centripetal force. If the rock in the sling is 0.40 m from the center of rotation and has
a tangential speed of 6.0 m/s, what is the largest mass the rock can have?
Show Your Work

Since the Rock is thrown upwards, there are only two forces, one is the force of the rubber (55[N]) and the other is the force of gravitational acceleration acting in the opposite direction to the movement of the rock, therefore this acceleration will be taken as negative.

F = 55 - m*g

where:

F = total force [N] (units of Newtons)

m = mass = 0.21 [kg]

g = gravity acceleration = 9.81 [m/s²]

F = 55 - (0.21*9.81)

F = 52.93 [N]"