Change in momentum of baseball being struck

In summary, the conversation is about calculating the magnitude of change in momentum for a 0.33 kg softball with a velocity of 14 m/s at an angle of 50° below the horizontal before and after making contact with the bat. The solution involves finding the vector for momentum before hitting the bat and subtracting it from the vector for the ball's velocity after contact. The magnitude is then found using the Pythagorean theorem.
  • #1
Zach Lunch
3
0

Homework Statement


A 0.33 kg softball has a velocity of 14 m/s at an angle of 50° below the horizontal just before making contact with the bat. What is the magnitude of the change in momentum of the ball while it is in contact with the bat if the ball leaves the bat with a velocity of (a) 15 m/s, vertically downward, and (b) 15 m/s, horizontally back toward the pitcher?

Homework Equations


→P=M*→V

The Attempt at a Solution


Find the Vector for momentum before hitting the bat .33<14*cos 50, 14*sin 50>
Subtract vector for each case. a) subtract .33<0,-15> b.) subtract .33<-15,0>
Then use Pythagorean Theorem to get magnitude sqrt(x^2 + y^2) for each case.
 
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  • #2
Zach Lunch said:

Homework Statement


A 0.33 kg softball has a velocity of 14 m/s at an angle of 50° below the horizontal ...
Find the Vector for momentum before hitting the bat .33<14*cos 50, 14*sin 50>

The angle is 50° below the horizontal. The vertical component of the original momentum has to be negative.

ehild
 

1. How does the change in momentum of a baseball being struck affect its trajectory?

The change in momentum of a baseball being struck determines the direction and speed of its trajectory. This change is determined by the force applied to the ball by the bat and the mass of the ball. The greater the change in momentum, the greater the effect on the ball's trajectory.

2. What factors contribute to the change in momentum of a baseball being struck?

The main factors that contribute to the change in momentum of a baseball being struck are the force applied to the ball by the bat, the mass of the ball, and the angle at which the bat makes contact with the ball. Other factors such as air resistance and spin can also affect the change in momentum.

3. Does the material of the bat affect the change in momentum of a baseball being struck?

Yes, the material of the bat can affect the change in momentum of a baseball being struck. A heavier or stiffer bat can transfer more force to the ball, resulting in a greater change in momentum. However, the material of the bat also affects the speed and angle at which the ball is struck, which can also impact the change in momentum.

4. How does the change in momentum of a baseball being struck relate to its speed?

The change in momentum of a baseball being struck is directly related to its speed. According to Newton's second law of motion, the greater the force applied to an object, the greater its acceleration will be. In the case of a baseball being struck, the force applied by the bat results in a change in momentum, which accelerates the ball and increases its speed.

5. Can the change in momentum of a baseball being struck be calculated?

Yes, the change in momentum of a baseball being struck can be calculated using the formula p = m * v, where p is the momentum, m is the mass of the ball, and v is the velocity or speed of the ball. By measuring the initial and final momentum of the ball, the change in momentum can be calculated. This can also be used to determine the force applied to the ball by the bat.

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