# physics

posted by .

A ball of mass 0.750 kg is attached to the end of a 1.20m long cord that can withstand a maximum tension of 50.0 N. If swung in a vertical circle, what is the maximum velocity the ball can achieve before the string breaks?

• physics -

Since the circle is vertical, maximum tension is experienced when the ball is at the bottom of the loop. Tension must support both weight and centripetal force.

Require that
M*V^2/R + M*g = (maximum tension) Tmax
= 50.0 N

Then solve for V.

M*V^2/R = 50 - 7.35 = 42.65 N
V = sqrt(42.65*1.2/0.75)= 8.26 m/s

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### Physics

A 0.40-kg ball, attached to the end of a horizontal cord, is rotated in a circle of radius 2.0-m on a frictionless horizontal surface. If the cord will break when the tension in it exceeds 75-N, what is the maximum speed the ball can …
2. ### Physics - HELP

A 0.40 kg ball, attached to the end of a horizontal cord, is rotated in a circle of radius 1.5 m on a frictionless horizontal surface. The cord will break when the tension in it exceeds 61 N. What is the maximum speed the ball can …
3. ### physics

a .45kg ball, attached to the end of a horizontal cord, is rotated in a circle of radius 1.3m on a frictionless horizontal surface. if the cord will break when the tension in it exceeds 75 N, what is the maximum speed the ball can …
4. ### Physics

A tether ball of mass 0.25 kg is attached to a vertical pole by a cord 1.4 m long. Assume the cord attaches to the center of the ball. The cord makes an angle of 20° with the vertical. (a) What is the tension in the cord?
5. ### Physics

A tether ball of mass 0.25 kg is attached to a vertical pole by a cord 1.4 m long. Assume the cord attaches to the center of the ball. The cord makes an angle of 20° with the vertical. (a) What is the tension in the cord?
6. ### physics

A 0.40kg ball, attached to the end of a horizontal cord, is rotated in a circle of radius 2.1m on a frictionless horizontal surface.If the cord will break when the tension in it exceeds 80N , what is the maximum speed the ball can …
7. ### physics

A 0.55- ball, attached to the end of a horizontal cord, is rotated in a circle of radius 1.5 on a frictionless horizontal surface.If the cord will break when the tension in it exceeds 95 , what is the maximum speed the ball can have?
8. ### physics

a .45 kg ball attached to the end of a horizontal cord is rotated in a circle of radius 1.3 m on a frictionless horizontal surface. if the cord will break when the tension in it exceeds 75N what is the maximum speed the ball can have?
9. ### physics

A mass M of 2.95 kg is attached to the end of a string whose length is 0.420 m. The mass slides without friction on a horizontal surface as indicated in the diagram. If the string can withstand a maximum tension of 127.5 N, what is …
10. ### Physics

A 0.45-kg ball, attached to the end of a horizontal cord, is rotated in a circle of radius 1.3-m on a frictionless horizontal surface. If the maximum speed of the ball is 14.7 m/s, how long does it take the ball to make on rotation …

More Similar Questions