Conservation of Energy Problem.

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Homework Help Overview

The problem involves a .40 kg ball thrown at an angle with an initial speed, focusing on the conservation of energy to determine its speed at the highest point and the maximum height reached. The context includes kinematics and energy conservation principles.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of energy conservation formulas and the implications of vertical and horizontal velocities at the highest point. Questions arise about the vertical velocity being zero and the effect of horizontal velocity during the flight.

Discussion Status

Some participants have provided hints and engaged in verifying calculations related to the height reached. There is an ongoing exploration of the relationships between initial and final velocities, but no explicit consensus has been reached regarding the final answers.

Contextual Notes

Participants are operating under the assumption of ignoring air resistance and are questioning the setup of the energy conservation equation.

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Here's the problem:

A .40 kg ball is thrown with a speed of 12m/s at an angle of 33 degrees. a) what is its speed at its highest point, and b) how high does it go? (Use conservat ionfo energy and ignore air resistance)

I think I'm supposed to use the formula .5mvi^2 + mgy1 = .5mvf^2+mgy2 .

How do I find the speed at the highest point? m=.4, and vi=12 right? Please help!
 
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A couple of hints:
What is the vertical velocity at its highest point?
Is the horizontal velocity at all affected during the flight?
 
At the highest point, vertical velocity is 0, and no, the horizontal velocity isn't affected... so then my final velocity would be zero, and y1 will be zero. This leaves me with 28.8-20 = (.40)(9.8)y2
y2 = 2.21 meters. Can anyone verify my answer?
 
Last edited:
Looks ok to me.
 

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