Work done by air resistance and gravity

In summary, the work done by gravity and air resistance are both negative and the displacement of the ball is both down and in the direction (left/right depending on which way it is hit).
  • #1
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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  • #2
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.
 
  • #3
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)?
 
  • #4
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.
 

Related to Work done by air resistance and gravity

What is work done by air resistance and gravity?

Work done by air resistance and gravity is the amount of energy required to overcome the forces of air resistance and gravity while an object is moving. It is a measure of the work done against these forces to maintain the motion of an object.

How does air resistance affect work done?

Air resistance works against the motion of an object and causes it to slow down. This means that more energy is required to overcome air resistance and maintain the object's motion, resulting in an increase in the work done.

What factors influence the work done by air resistance and gravity?

The work done by air resistance and gravity is influenced by the velocity of the object, the density of the air, the surface area of the object, and the mass of the object. A higher velocity, denser air, larger surface area, and greater mass will result in a higher work done.

How is work done by air resistance and gravity calculated?

The work done by air resistance and gravity can be calculated by multiplying the force of air resistance and gravity by the distance traveled in the direction of the force. This can be represented by the equation W = F x d.

What is the relationship between work done and energy?

Work done and energy are directly related. The work done by air resistance and gravity is equal to the change in kinetic energy of an object. This means that as more work is done against these forces, the object's kinetic energy decreases, and vice versa.

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