Linear Momemtum Need dire assistance

AI Thread Summary
A car with a linear momentum of 3.0 x 10^4 kg·m/s is brought to a stop in 5.0 seconds, and the average braking force can be calculated using the change in momentum over time. The formula F = ΔP/Δt can be applied, where ΔP is the change in momentum from 3.0 x 10^4 to 0. Since mass remains constant, the relationship between force, mass, and acceleration is crucial, as described by Newton's Second Law. The discussion emphasizes understanding the connection between force and momentum change, highlighting the need for clarity on how to apply these principles to solve the problem. Proper application of these concepts will yield the average braking force required to stop the car.
Vivek
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Ladies and Gentlemen

This is from my class work and i was not there when the teacher did this.I want to understand this.Please assist

A car with a linear momentum of 3.0 x 10 raised to 4 KG x M/S is brought to a stop in 5.0 sec.What is the manitude of the average braking force?

I really don't get this one.Any help is more than appreciated.:smile:
 
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Hint: Newton's Second Law can be thought of in this way:
\Sigma F = \frac{d}{dt} (mv)
 
FredGarvin said:
Hint: Newton's Second Law can be thought of in this way:
The second law is that the acceleration of an object is dependent on two factors - the net force acting upon the object and the mass of the object...

But in relation to the question there are a few variables missing..:confused:
 
integral of force-time graph is change in momentum
 
Most simply, force equals mass times acceleration. Although you are given the initial momentum, rather than the initial speed, since momentum equal mass times speed, and mass stays contant in this problem, just divide the "change in momentum" (from 3.0 x 104 to 0) by the time required.
 
Vivek said:
The second law is that the acceleration of an object is dependent on two factors - the net force acting upon the object and the mass of the object...
But in relation to the question there are a few variables missing..:confused:
Look at it like this...Starting with

F = m a where a = \frac{d}{dt} v

F = m \frac{d}{dt} v since mass is constant, we can pull it inside the derivative

F = \frac{d}{dt} (mv) or F = \frac{d}{dt} P where P = mv is the linear momentum.

So if the force is equal to the time rate of change of the momentum, how does that fit into your problem?
 
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