Work done by air resistance and gravity

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Homework Help Overview

The discussion revolves around the work done by gravity and air resistance on a baseball that is hit into the bleachers. Participants are exploring the implications of forces acting on the baseball during its flight and the nature of work in physics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants question whether the work done by gravity and air resistance is zero due to their directions being perpendicular to the displacement. Others suggest that the vertical component of the ball's flight must be considered, as it involves both upward and downward motion against gravity, as well as air resistance acting in the direction of motion.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the work done by gravity and air resistance. There is a divergence in views regarding whether the work is positive or negative, particularly in relation to the ball's displacement and energy changes during its flight.

Contextual Notes

Participants are considering the net effects of work done by gravity and air resistance, particularly in relation to the kinetic and potential energy of the baseball. There is an emphasis on understanding the conditions under which work is considered positive or negative.

Maiia
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Homework Statement


A baseball is hit high into the upper bleachers of left field. After the ball lands in the bleachers, what is the work done by gravity and the work done by air resistance?

Wouldn't they both be zero because they are acting 90 degrees to the path of displacement?
 
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Maiia said:

Homework Statement


A baseball is hit high into the upper bleachers of left field. After the ball lands in the bleachers, what is the work done by gravity and the work done by air resistance?

Wouldn't they both be zero because they are acting 90 degrees to the path of displacement?

Neither are actually. The vertical component of the ball's flight is upwards against gravity and then maybe down before impacting the bleachers. And the ball encounters air resistance in the direction of its motion.
 
in that case, if you were just considering the work when it hits the bleachers, the work for air resistance and gravity would both be positive, right? Which means the displacement for the ball is both down and in the direction (left/right depending on which way it is hit)?
 
Maiia said:
in that case, if you were just considering the work when it hits the bleachers, the work for air resistance and gravity would both be positive, right? Which means the displacement for the ball is both down and in the direction (left/right depending on which way it is hit)?

No. The air resistance is negative work. It is against the direction of motion.

The Work done by gravity is also negative as it subtracted from the original kinetic energy of the struck ball.
That work however went into increasing the Potential energy that is given by the height of the ball in the grandstand * m*g.

To the extent that the ball went higher than it landed - it went up and then came down a bit - the downward path would have had positive effect on kinetic energy, but I think the problem wants you to consider the net effect, hence negative net work.
 

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