How Far Will the Ball Travel Horizontally If Aimed at 33 Degrees?

AI Thread Summary
To determine how far a ball bearing will travel horizontally when launched at a 33-degree angle, one must first analyze the vertical launch scenario, where the spring propels the ball to a height of 1.35 m. The kinetic energy imparted by the spring can be calculated using the height achieved, which can then be used to find the initial velocity when launched at an angle. Assuming no internal inertia in the spring means that all the energy goes into accelerating the ball, simplifying the calculations. The horizontal distance can be derived from the initial velocity and the time of flight, which depends on the vertical motion. This approach allows for a clear understanding of the mechanics involved in the problem.
schrock
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I am convinced I have not received enough info to solve this prob. Please help me get started. A small steel ball bearing with a mass of 20.0 g is on a short compressed spring. When aimed vertically and suddenly released, the spring sends the bearing to a height of 1.35 m. Calculated the horizontal distance the ball would travel if the same spring were aimed 33.0 degrees from the horizontal.
 
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My guess is that you have to assume the spring has no internal inertial so that all of the spring force goes into accelerating the ball. Since it's not included, the problem statement implies that the spring constant doesn't affect the outcome.
 
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