How Fast Does a Bowling Ball Travel When It Falls Off a Table?

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SUMMARY

A bowling ball with a mass of 7.5 kg rolls off a horizontal table 1.0 m high at an initial velocity of 10 m/s. To calculate the final velocity as it reaches the floor, one must determine the vertical component of velocity using the formula v = √(2gh), where g is the acceleration due to gravity (9.8 m/s²). The vertical velocity at impact is approximately 4.43 m/s. The overall velocity can be calculated using the Pythagorean theorem, resulting in a final velocity of approximately 11.18 m/s at an angle of approximately 22.6 degrees from the horizontal.

PREREQUISITES
  • Understanding of basic physics concepts such as velocity and acceleration
  • Familiarity with the Pythagorean theorem
  • Knowledge of gravitational acceleration (9.8 m/s²)
  • Ability to perform basic trigonometric calculations (e.g., using tan-1)
NEXT STEPS
  • Study projectile motion principles in physics
  • Learn about vector addition and decomposition
  • Explore the effects of air resistance on falling objects
  • Investigate real-world applications of kinematics in sports
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Students studying physics, educators teaching kinematics, and anyone interested in understanding the dynamics of falling objects.

Michael17
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Bowling ball and table!

Can anyone please help me figure this one out;

A bowling ball of mass 7.5kg traveling at 10m/s rolls off a horizontal table 1.0 m high. Calculate the velocity of the ball as it reaches the floor, ignoring air resistance and having an acceleration due to gravity of 9.8m/s.
 
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Michael17 said:
Can anyone please help me figure this one out;

A bowling ball of mass 7.5kg traveling at 10m/s rolls off a horizontal table 1.0 m high. Calculate the velocity of the ball as it reaches the floor, ignoring air resistance and having an acceleration due to gravity of 9.8m/s.
They gave you the horizontal component of velocity. They want you to find the vertical component and then combine the 2 like Pythagoras would to yield the answer for the magnitude of the |velocity| vector. Now they may also want you to give the direction. (That would be tan-1 of the ratio of the 2.)
 

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