Elastic ball , Inextensible string

In summary, an elastic ball of mass 'm' is suspended from a fixed point by an inextensible string. A small particle of the same mass 'm' moving downwards at an angle of 37 degrees with the vertical hits the ball directly with the velocity 'v'. The coefficient of restitution is 4/5. To determine the velocity of the ball just after the impact, we can use the equation of elastic collision. The impulse tension in the string can also be calculated using this equation. This problem involves the application of the law of conservation of momentum.
  • #1
Harshatalla
3
0
Elastic ball , Inextensible string !

An elastic ball of mass 'm' is suspended from a fixed point by an inextenible string. A small particle of same mass 'm' moving downwards at an angle of 37 degrees with the vertical hits the ball directly with the velocity 'v'. If the coefficient of restitution is 4/5.

a)Find the velocity of the ball just after the impact.
b)Determine the impulsive tension (impulse) in the string at the instant of collision.
 
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  • #2
Think of the equation of elastic collision. Which law is applied?
 
  • #3
this question was given by my sir as he was not getting the problem
i don't know anything about elastic collisions
 
  • #4

1. What is an elastic ball and inextensible string?

An elastic ball is a round object made of a material that can stretch and return to its original shape, while an inextensible string is a string that does not stretch when a force is applied to it.

2. How does an elastic ball and inextensible string system work?

The elastic ball and inextensible string system works by the string being attached to the ball and a fixed point, creating tension. When the ball is pulled back and released, the tension in the string causes the ball to accelerate forward.

3. What are the properties of an elastic ball and inextensible string?

The properties of an elastic ball and inextensible string include elasticity, inextensibility, and tension. The ball must be made of a material that can stretch and return to its original shape, while the string must not stretch when a force is applied to it. The tension in the string is what allows the ball to move.

4. How is the velocity of an elastic ball and inextensible string system calculated?

The velocity of an elastic ball and inextensible string system can be calculated using the equation v = √(2gh), where v is the velocity, g is the acceleration due to gravity, and h is the height from which the ball was released.

5. What are some real-life applications of an elastic ball and inextensible string system?

An elastic ball and inextensible string system can be used in various sports and games, such as tennis, badminton, and yo-yo. It is also commonly used in physics experiments to demonstrate concepts of energy, tension, and elasticity.

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