# Batter hits a ball momentum problem

• mandy34874
In summary, the conversation is discussing a scenario where a batter hits a baseball with a force of 13000N for 3.00ms. The baseball has a velocity of 35.0m/s before it hits the bat and a mass of 300.0g. The calculations for this scenario include finding the impulse delivered to the ball over the 3.00ms (24.8N) and the velocity of the baseball just after it leaves the bat (47.5m/s). The collision is assumed to be elastic.

#### mandy34874

A batter hits a ball with a force of F(t)=(13000N)sin(1.05ms^-1) for 3.00ms. A baseball is thrown so it has a velocity of 35.0m/s toward the batter just before it hits the bat. Assuming the baseball has a mass of 300.0g calculate:

a. the impulse delivered to the ball over the 3.00ms

b.the velocity of the baseball just after it leaves the bat

I really don't know where to start. The answers are impulse=24.8N and 47.5m/s

Any help would be great!

I'd start with the equations, and identifying what type of collision it is. Would you call this collision elastic, inelastic, or perfectly inelastic?

i would say its elastic, what equations are you talking about?

F(t)=(13000N)sin(1.05ms^-1)

i don't understand. sin is a function for angles, how can you deduce "sin 1.05ms-1"

impulse=24.8N

impulse is basically change in momentum. so the unit is kg ms-1 not N

m1v1=m2v2

impulse=F*change in time

## 1. What is momentum?

Momentum is a property of a moving object that is equal to its mass multiplied by its velocity. It is a measure of how difficult it is to stop the object's motion.

## 2. How is momentum related to a batter hitting a ball?

When a batter hits a ball, the bat transfers its momentum to the ball, causing it to move in the direction of the swing. The momentum of the bat and the ball together is conserved, meaning it remains the same before and after the collision.

## 3. What factors affect the momentum of a batter hitting a ball?

The momentum of a batter hitting a ball is affected by the mass and velocity of both the bat and the ball. The angle and force of the swing, as well as the elasticity of the collision, also play a role in determining the resulting momentum.

## 4. How is momentum conserved in a batter hitting a ball?

Momentum is conserved in a batter hitting a ball because the total momentum before and after the collision remains the same. This is due to the principle of conservation of momentum, which states that the total momentum of a system remains constant unless acted upon by an external force.

## 5. How is the momentum of the ball affected by the collision with the bat?

The momentum of the ball is affected by the collision with the bat through the transfer of momentum from the bat to the ball. The direction and magnitude of the ball's momentum will depend on the angle and force of the swing, as well as the mass and velocity of the bat and ball.