Box attached to end of a string, what is the max velocity?

In summary, the problem involves a 0.60 kg mass attached to a 1.7 m string, where the string will break if its tension exceeds 60 N. The mass is whirled in a horizontal circle on a frictionless tabletop, with the other end of the string fixed at the axis of rotation. The question asks for the maximum speed of the mass before the string breaks. This can be solved using Newton's second law and considering centripetal force, treating the mass as a point mass and neglecting friction. The options for the maximum speed are 4.6 m/s, 7.8 m/s, 13 m/s, 21 m/s, and 170 m/s. If you are
  • #1
DeathEater
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Homework Statement


a 0.60 kg mass is attached to one end of a 1.7 m string. The string will break if its tension exceeds 60 N. The mass is whirled in a horizontal circle on a frictionless tabletop, such that the other end of the string remains fixed at the axis of rotation. What is the maximum speed of the mass before the string breaks? you may treat the mass as a point mass, assume that the string is ideal, and neglect friction.

A.) 4.6 m/s
B.) 7.8 m/s
C.) 13 m/s
D.) 21 m/s
E.) 170 m/s

Homework Equations


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The Attempt at a Solution


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  • #2
Are you familiar with Newton second laws?
What about centripetal force?
Can you draw a free body diagram of the mass?
If the answer to any of these is no, refer to your textbook or google then ask specific question on anything you don't understand.
 

Related to Box attached to end of a string, what is the max velocity?

1. What is the purpose of the box attached to the end of the string?

The box attached to the end of the string is used to create tension and provide a pulling force on the string, allowing it to move in a controlled manner.

2. Can the box attached to the end of the string reach infinite velocity?

No, the box attached to the end of the string cannot reach infinite velocity. As it moves faster, it will experience increased air resistance and eventually reach a maximum velocity.

3. How is the maximum velocity of the box attached to the end of the string determined?

The maximum velocity of the box attached to the end of the string is determined by various factors such as the weight of the box, the length and thickness of the string, and the amount of tension applied to the string.

4. Can the maximum velocity of the box attached to the end of the string be changed?

Yes, the maximum velocity of the box attached to the end of the string can be changed by altering the factors that affect it, such as adjusting the weight of the box or the tension on the string.

5. What happens if the maximum velocity of the box attached to the end of the string is exceeded?

If the maximum velocity of the box attached to the end of the string is exceeded, the string may break or the box may fly off in an uncontrolled manner. It is important to carefully control the tension and other factors to prevent this from happening.

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