# Physics UT Quest help?

An athlete swings a 3.61 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.7 m at an angular speed of 0.56 rev/s.

If the maximum tension the rope can with- stand before breaking is 135 N, what is the maximum tangential speed the ball can have?Answer in units of m/s.

### 1 Answer

- oldschoolLv 73 weeks ago
An athlete swings a 3.61 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.7 m at an angular speed of 0.56 rev/s.

If the maximum tension the rope can with- stand before breaking is 135 N, what is the maximum tangential speed the ball can have?Answer in units of m/s.

More information is provided than is needed, We know the outward force = mass*V²/r where V is the "tangential speed."

135 = m*V²/r OR V² = 135*r/m = 135*0.7/3.61 = 5.12²

Vmax = 5.12m/s or about 5m/s