Calculating Impulse for a Truck Slowing Down: Momentum and Vector Help

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SUMMARY

The discussion focuses on calculating the impulse experienced by a truck with a mass of 1.20 x 103 kg that decelerates from 24.0 m/s to 10.4 m/s over a period of 5.50 seconds. The impulse is determined using the formula F(Δt) = m(Δv), where Δv is the change in velocity. The impulse-momentum theorem confirms that impulse equals the change in momentum, allowing the calculation to be simplified by ignoring the time variable. The final impulse calculation results in a definitive value based on the mass and change in velocity.

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butz3
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i know that the formula for impulse is f(delta)t. my question ask " a truck with a mass of 1.20 x 10^3 kg has its brakes applied for 5.50s as it slows down from 24.0m/s, west to 10.4m/s west. determine the magnitude and direction of the impulse provided by the brakes." i know you need to use the formula
f(delta)t = m(delta)(vf-vi). but since i want the impulse do i just fill in the right side of the formula and git impulse or do i use the time also. thanks.
 
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u can safely ignore "time=5.50s" as impulse is independent of time.


just impulse= (1.20 x 10^3)(24.0-10.4)
 
The impulse is the left-hand-side: (Favg)(Delta t).
By the impulse-momentum theorem, it then follows that it is equal to the change-in-momentum.
 

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