Linear Momentum/Impulse Problem

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In summary, the conversation discusses the calculation of the average force and speed of a ball after being struck by a bat. Using the equation Fnett = Δp = mΔv, the average force is calculated to be 5200N. However, there is a discrepancy between this answer and the correct answer, leading to a discussion about the use of Kinematics equations and Newton's second law. The final answer is determined to be -74 m/s for the speed of the ball after the collision.
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Homework Statement



A ball with a mass of .2 kg traveling at a speed of 26 m/s is struck by a bat. If the duration of the impulse is .001 seconds and the speed of the ball afterwards is the same as before, what is the average force (to the nearest Newton) of the impact? On the other hand, if the magnitude of the average force is 20000 N, what is the speed to the nearest m/s after collision?

Homework Equations



Fnett =[tex]\Delta[/tex]p = m[tex]\Delta[/tex]v

The Attempt at a Solution



F=(.2 kg)(26m/s-0)/.001 = 5200

This answer is always 1/2 off the correct answer so I'm not sure if the equation I'm using is wrong or if I'm applying it incorrectly. As for the second question, I'm not quite sure where to go with it.
 
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  • #2
Haha I got the answer. It goes back to thinking Kinematics equations where vf=vi+at

therefore, to get the acceleration you use Newton's second law: F=ma where F= 20000N and m = .2 to get a = 100,000

vf = vi + at
vf= 26 - (100,000)(.001)
vf = -74 m/s
vf is 74 m/s in the opposite direction it was thrown in

hope this helps someone else that's stuck
 

1. What is linear momentum?

Linear momentum is a quantity that describes the motion of an object in a straight line. It is defined as the product of an object's mass and its velocity. In other words, it is a measure of how much motion an object has in a specific direction.

2. How is linear momentum different from force?

Linear momentum and force are two related but distinct concepts. While linear momentum describes the motion of an object, force describes the interaction between two objects that causes a change in an object's motion. In other words, force is a push or pull that can change an object's linear momentum.

3. What is the relationship between linear momentum and impulse?

Impulse is the change in an object's linear momentum over a specific period of time. Mathematically, impulse is equal to the force applied to an object multiplied by the time it acts. In other words, impulse is the cause of a change in an object's linear momentum.

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

The law of conservation of linear momentum states that the total linear momentum of a closed system remains constant, regardless of any internal forces acting on the system. This means that in a collision between two objects, the total linear momentum before and after the collision will be the same. This principle is applied in various real-life situations, such as car crashes and sports activities.

5. How do you solve a linear momentum/impulse problem?

To solve a linear momentum/impulse problem, you need to first identify the initial and final states of the system, and the forces acting on the system. Then, you can use the equations for linear momentum and impulse to determine the change in momentum and the force acting on the system. It is important to remember to use consistent units and to consider the direction of the forces when solving these types of problems.

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