MOMENTUM, contact time,

In summary, the conversation is about finding the contact time of a golf ball struck with a club. The mass and velocity of the ball are given, and the solution involves finding the change in x (radius) and average velocity. The questioner is unsure of how the average velocity of 22 m/s was obtained from the original velocity of 44 m/s. They also mention that the given information does not include the change in x.
  • #1
mushhhy
7
0
A 50g golf ball is struck w a club. the ball leaves the face of the club w a velocity of 44m/s

Pf = mvf = (50 x 10^-3 kg) (44 m/s) = 2.2 kg m/s

From this I must find the contact time t = change in x /average velocity

The change in x in the radius of the ball .05m

The average velocity provided in the solution is 22 m/s

I do not understand how this figure of 22 m/s was obtained from the original velocity of 44 m/s

Help anyone
 
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  • #2
Where did you get the change in x is .05 m? That information wasn't given to you in the problem... is
A 50g golf ball is struck w a club. the ball leaves the face of the club w a velocity of 44m/s
all you were given?
 
  • #3


The 22 m/s is the average velocity because the ball is traveling at a constant speed of 44 m/s for a short period of time during the contact with the club. This means that the initial velocity and final velocity are both 44 m/s, making the average velocity 22 m/s.

To find the contact time, we use the formula t = change in x / average velocity. In this case, the change in x is the radius of the ball, which is 0.05m. So, t = 0.05m / 22 m/s = 0.00227 seconds. This means that the contact time between the ball and the club is only 0.00227 seconds.

Momentum is a measure of an object's motion and is calculated by multiplying its mass and velocity. In this case, the momentum of the golf ball after being struck by the club is 2.2 kg m/s. This shows that the ball has a significant amount of motion and it will continue to move at a constant speed unless acted upon by an external force.

Overall, the concept of momentum and contact time is important in understanding the motion of objects and how they interact with each other. In this example, we can see how a small and light object like a golf ball can have a large momentum and how the contact time between the ball and the club is very short.
 

1. What is momentum?

Momentum is a measure of an object's tendency to continue moving in the same direction at the same speed. It is calculated by multiplying an object's mass by its velocity.

2. How is momentum conserved in a closed system?

In a closed system, the total momentum before an interaction or event is equal to the total momentum after the interaction or event. This is known as the law of conservation of momentum.

3. Can momentum be negative?

Yes, momentum can be negative. This typically occurs when the direction of an object's motion is opposite to the chosen direction of positive momentum. It is important to specify a consistent direction of positive momentum in calculations to avoid confusion.

4. What is contact time?

Contact time is the duration of time that two objects are in contact with each other during a collision or interaction. It is an important factor in calculating the force of impact during collisions.

5. How does contact time affect momentum?

The longer the contact time between two objects during a collision, the smaller the change in momentum for each object. This is because a longer contact time results in a smaller average force acting on the objects, according to the impulse-momentum theorem.

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