Solving for Speed and Acceleration of Ball at Point P

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In summary, a heavy ball swings in a circular arc with a radius of 2m, reaching its highest points Q and Q' where the string is +/- 27 degrees from the vertical. At the lowest point P, the string hangs vertically down and the acceleration of gravity is 9.8 m/s^2. Neglecting air resistance and other frictional forces, the ball's speed at point P is unknown. The magnitude of the ball's acceleration at point P is also unknown. The ball's speed at points Q and Q' is unknown, as well as its energy (potential + kinetic). The energy at point P is also unknown.
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FireAngel1661
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1. Homework Statement

A heavy ball swings on a string in a circular arc of radius 2m.
The two highest points of the ball's trajectory are Q and Q'; at these points the string is +/- 27 degrees from the vertical. Point P is the lowest point of the ball's trajectory where the string hangs vertically down. The acceleration of gravity is 9.8 m/s^2.

1.) What is the ball's speed at the point P? Neglect air resistance and other frictional forces.
2.) What is the magnitude of the ball's acceleration at the point P?

 
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What is the ball's speed at Q and Q'? What is its energy there (potential + kinetic)? What about P then?
 

1. What is the formula for calculating speed?

The formula for calculating speed is distance divided by time, or speed = distance/time.

2. How do you calculate acceleration?

Acceleration is calculated by dividing the change in velocity by the change in time, or acceleration = (final velocity - initial velocity)/time.

3. How do you solve for the speed of a ball at a specific point?

To solve for the speed of a ball at a specific point, you will need to know the distance it has traveled, the time it took to travel that distance, and the initial velocity of the ball. Plug these values into the formula speed = distance/time to find the speed at that point.

4. What factors can affect the speed and acceleration of a ball?

The speed and acceleration of a ball can be affected by several factors, including the force applied to the ball, the mass of the ball, the surface it is traveling on, and any external forces such as air resistance or friction.

5. How can I use the speed and acceleration of a ball to predict its future motion?

By knowing the speed and acceleration of a ball at a specific point, you can use the equations of motion to predict its future motion. These equations take into account the initial velocity, acceleration, and time to calculate the position and velocity of the ball at any given time.

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