Calculating the Speed of a Suspended Ball at 90 Degrees | Physics Homework Help

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In summary, the conversation discusses a problem involving a ball attached to a string and suspended vertically. A constant horizontal force is applied, equal to the weight of the ball. The task is to determine the speed of the ball when it reaches a 90-degree level, given the length of the string (L) and the acceleration due to gravity (g=10 m/s^2). The conversation also mentions the need to use equations of motion and kinematic equations to solve the problem.
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robgazza
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Homework Statement



a ball of mass m is attached to a light string of length L and suspended vertically. A constant force, which magnitude F equals the weight of the ball, is applied horizontally to the ball. Determine the speed of the ball as t reaches the 90degree level in terms of L and g= 10 m/s^2

Homework Equations



not sure really!

http://img132.imageshack.us/img132/7374/phyiscsek4.jpg [Broken]

The Attempt at a Solution



I honestly do not have a clue where to start on this question. Can anyone give me a start?
 
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desperately need help! :(
 
  • #3
Write the equations of motion for the ball. The string constrains how it moves, and the two forces acting on it are gravity downward and the horizontal pushing force. What are the kinematic motion equations that you should start with? Use x and y coordinates to separate the two components of position, velocity and acceleration...
 

1. How do you calculate the speed of a suspended ball at 90 degrees?

To calculate the speed of a suspended ball at 90 degrees, you will need to use the equation v = √(2gh), where v is the speed of the ball, g is the acceleration due to gravity (9.8 m/s²), and h is the height at which the ball is suspended.

2. What is the significance of calculating the speed of a suspended ball at 90 degrees?

Calculating the speed of a suspended ball at 90 degrees is important in understanding the motion of objects in free fall. It allows us to determine the velocity of the ball at a specific point in its trajectory and can be used to make predictions about its future motion.

3. What factors can affect the speed of a suspended ball at 90 degrees?

The speed of a suspended ball at 90 degrees can be affected by several factors, including the height at which it is suspended, the acceleration due to gravity, and any external forces acting on the ball (such as air resistance).

4. How is the speed of a suspended ball at 90 degrees related to its kinetic energy?

The speed of a suspended ball at 90 degrees is directly related to its kinetic energy. As the ball falls, its potential energy is converted into kinetic energy, and the speed of the ball increases. At the moment the ball reaches 90 degrees, all of its potential energy has been converted into kinetic energy.

5. Are there any real-life applications of calculating the speed of a suspended ball at 90 degrees?

Yes, there are several real-life applications of calculating the speed of a suspended ball at 90 degrees. This calculation can be used in sports, such as determining the speed of a baseball pitch or a tennis serve. It is also important in engineering and construction, as it can help determine the impact force of falling objects and the design of safety systems.

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