# Impulse, Momentum, and Baseball

• Soaring Crane
In summary: So in summary, the magnitude of the change in momentum of the ball is 14.5 kg*m/s, the magnitude of impulse applied to it by the bat is also 14.5 kg*m/s, and the magnitude of the average force applied by the bat is 7250 N.
Soaring Crane
A baseball has mass 0.145 kg.

A. If the velocity of a pitched ball has a magnitude of 45.0 m/s and the battered ball's velocity is 55.0 m/s in the opposite direction, find the magnitude of the change in momentum of the ball.

delta p = m*delta v = m*(v2 -v1) = .145 kg (-55.0 m/s - 45.0 m/s) = -14.5 kg*m/s

B. Find magnitude of impulse applied to it by bat.

J = F*delta t = delta p = -14.5 kg*m/s ?? Is it the same as the above?

C. If the ball remains in contact with the bat for 2.00 ms, find the magnitude of the average force applied by bat.

J = Avg. F*delta t

delta t = 2.00 ms(1s/1000 ms) = .002 s

Avg. F = J/delta t = (-14.5 kg*m/s)/.002 s = -7250 N ?

Thanks.

All good. (Since they ask for magnitudes only, your answers should be positive.) And yes, since impulse equals change in momentum, the answers to A and B are the same.

why should the answer be positive ? iam kind of confused I thought it depended on what velocity is positive and negative

It comes from the formula for magnitude - 2d = sqrt(x^2 + y^2). Even if x or y were negative, -x * -x = +x^2. There are no square roots of negative numbers (apart from complex numbers).

The answers should be positive, since they are asking for the magnitudes. The negative sign gives you the direction.

## What is impulse and how does it relate to baseball?

Impulse is the change in momentum of an object, and in baseball, it is the force applied to the ball by the bat or pitcher. A greater impulse results in a greater change in momentum, which can lead to a faster pitch or a longer hit.

## How does momentum play a role in baseball?

Momentum is the product of an object's mass and velocity, and it is conserved in a closed system. In baseball, momentum is important for both pitchers and batters. Pitchers use their momentum to generate faster pitches, while batters use the momentum of the ball to hit it further.

## What factors affect the impulse and momentum of a baseball?

There are several factors that can affect the impulse and momentum of a baseball, including the mass and velocity of the ball, the force and direction of the bat or pitcher, and the air resistance. Additionally, the type and condition of the ball and the surface it is traveling on can also impact impulse and momentum.

## How does the coefficient of restitution (COR) relate to impulse and momentum in baseball?

The COR is a measure of the elasticity of a collision between two objects. In baseball, it is used to measure the bounciness of the ball. The higher the COR, the more the ball will bounce off a surface, resulting in a higher impulse and momentum. This can lead to faster pitches and longer hits.

## Can understanding impulse and momentum help improve performance in baseball?

Yes, understanding the principles of impulse and momentum can help players and coaches make strategic decisions in baseball. For example, pitchers can use their knowledge of impulse and momentum to adjust their pitching technique and generate faster pitches, while batters can use it to improve their hitting power and accuracy. Additionally, understanding these concepts can also aid in injury prevention and equipment design.

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