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t_n_p
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Homework Statement
http://img253.imageshack.us/img253/4648/untitledfn3.jpg
The Attempt at a Solution
I've done parts a and b succesfully, but am not sure how to do c.
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andrevdh said:Using the know initial kinetic energy of the marble, [tex]E[/tex], and the launching angle, [tex]\theta[/tex], you can calculate the speed of the marble at top of its trajectory since at this point is has only a horizontal speed component, its vertical speed component is zero.
The maximum height reached by a marble is affected by a few different factors, including the initial velocity of the marble, the angle at which it is launched, and the presence of air resistance. These factors can also be affected by the surface on which the marble is rolling, such as a smooth track or a bumpy surface.
To determine the maximum height reached by a marble, you can use the equations of projectile motion. These equations take into account the initial velocity, launch angle, and acceleration due to gravity to calculate the maximum height. Alternatively, you can use a physics simulator or conduct experiments to measure the maximum height directly.
Yes, it is possible for a marble to reach a maximum height above its initial height. This is because the initial velocity and launch angle can affect the trajectory of the marble and cause it to reach a higher point before falling back down due to gravity.
The mass of the marble does not directly affect its maximum height. However, a heavier marble may have a different initial velocity or be affected differently by air resistance, which can indirectly impact the maximum height reached.
To increase the maximum height reached by a marble, you can adjust the initial velocity and launch angle to optimize the trajectory. Additionally, reducing air resistance by using a smoother surface or streamlining the marble can also help increase the maximum height. Experimenting with different factors can also help determine the optimal conditions for achieving a higher maximum height.