Conservation of Momentum problem

In summary, the conversation discusses a solved problem on conservation of momentum, specifically calculating the impulse delivered to a tennis ball and the work done by a racquet on the ball. The solution involves finding the change in initial and final momentum of the ball and using this to calculate the change in kinetic energy. The initial and final velocities of the ball are given and the direction of the ball is assumed to be in the negative x direction.
  • #1
Sheneron
360
0
[SOLVED] Conservation of Momentum problem

Homework Statement



A tennis player receives a shot with the ball (0.0600 kg) traveling horizontally at 54.0 m/s and returns the shot with the ball traveling horizontally at 34.0 m/s in the opposite direction. (Assume the initial direction of the ball is in the -x direction.)

(a) What is the impulse delivered to the ball by the racquet?

(b) What work does the racquet do on the ball?

The Attempt at a Solution


I got part A by finding the change in initial and final momentum of the ball (5.28).

I thought I could get part B by: mv = 5.28 so v = 88 m/s; and plug that into .5mv^2 to find the energy. That was wrong though and now I am not sure how to solve it.
 
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  • #2
Find the change in kinetic energy.
 
  • #3
Ok thanks for the help. Makes sense.
 

FAQ: Conservation of Momentum problem

What is the conservation of momentum problem?

The conservation of momentum problem is a fundamental concept in physics that states that the total momentum of a closed system remains constant over time, meaning that the initial momentum of the system is equal to the final momentum of the system.

Why is the conservation of momentum important?

The conservation of momentum is important because it helps us understand and predict the behavior of objects in motion. It is a fundamental law of nature and is used in many areas of science and engineering, such as in the design of vehicles and understanding the motion of celestial bodies.

How is the conservation of momentum applied in real-life situations?

The conservation of momentum can be applied in many real-life situations, such as in collisions between objects, rocket propulsion, and even sports like billiards and football. It is also used in industries like aerospace and automotive engineering to design safe and efficient vehicles.

What are some common misconceptions about the conservation of momentum?

One common misconception about the conservation of momentum is that it only applies to objects moving in a straight line. In reality, it applies to all types of motion, including rotational motion. Another misconception is that the conservation of momentum is only applicable to objects with the same mass. In fact, it applies to all objects, regardless of their mass.

How is the conservation of momentum related to the law of inertia?

The conservation of momentum is closely related to the law of inertia, which states that an object will remain at rest or in motion at a constant velocity unless acted upon by an external force. Both concepts demonstrate the fundamental principle that objects will continue moving in the same direction and at the same speed unless acted upon by an external force.

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