Calculate Magnitude of Impulse on 920-kg Car

In summary, the magnitude of the Impulse exerted on a 920-kg car as it slows from 24.3 m/s to 12.9 m/s can be calculated by finding the change in momentum, which is equal to the average force multiplied by the time it is exerted. This can also be expressed as the integral of the change in momentum over time, evaluated from the initial to the final momentum. It is important to subtract the final momentum from the initial momentum in the correct order to obtain the correct sign.
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Homework Statement


What is the magnitude of the Impulse exerted on a 920-kg car as it slows from 24.3 m/s to 12.9 m/s while traveling in a straight line?



The Attempt at a Solution


I was thinking 920(24.3 m/s) and 920(12.9 m/s) and subtract the two.

Not totally sure tho.
 
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  • #2
The Impulse in classical mechanics can be understood as the average force multiplied by the time it is exerted.

J = Faverage (t2 - t1 )

J = ∫ F dt , evaluated from t1 to t2

since F is related to the change in momentum with respect to time,

J = ∫ (dp/dt) dt , evaluated from t1 to t2

here, the dt's cancel, and you get,

J = ∫ dp , evaluated from P1 to P2

so, finally you get to J = p2 - p1 = ΔP

You suggested subtracting the two. Make sure to subtract them in the correct order to obtain the correct sign.
 

What is the formula for calculating the magnitude of impulse on a car?

The formula for calculating the magnitude of impulse on a car is FΔt, where F is the force applied and Δt is the change in time.

What is the unit of measurement for magnitude of impulse on a car?

The unit of measurement for magnitude of impulse on a car is Newton-seconds (N·s) or kilogram-meters per second (kg·m/s).

How do you determine the force applied on a car?

The force applied on a car can be determined by dividing the change in momentum by the change in time. The change in momentum can be calculated by multiplying the mass of the car by its change in velocity.

Can the magnitude of impulse on a car be negative?

Yes, the magnitude of impulse on a car can be negative if the direction of the force applied is opposite to the direction of the car's movement.

How does the magnitude of impulse on a car affect its motion?

The magnitude of impulse on a car can affect its motion by changing its velocity. A larger magnitude of impulse will result in a greater change in velocity, while a smaller magnitude will result in a smaller change in velocity. The direction of the impulse also plays a role in determining the car's motion.

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