Help with Momentum: Change in Momentum & Force Magnitude

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The discussion focuses on calculating the change in momentum and the magnitude of the force applied to a 620-kg automobile as its velocity changes from +11.0 m/s to +48.0 m/s over a period of 66.0 seconds. The change in momentum is determined using the formula Δp = mΔv, resulting in a value of 27,940 kg*m/s. Subsequently, the force magnitude is calculated using F = Δp/Δt, yielding a force of 423.03 N applied to the vehicle.

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The velocity of a 620-kg auto is changed from +11.0 m/s to +48.0 m/s in 66.0 s by an applied, constant force.

What change in momentum does the force produce?
What is the magnitude of the force?
 
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The change in momentum produced by the force can be calculated using the formula Δp = mΔv, where Δp is the change in momentum, m is the mass of the auto, and Δv is the change in velocity. In this case, the change in momentum would be Δp = (620 kg)(48.0 m/s - 11.0 m/s) = 27,940 kg*m/s. This means that the force applied to the auto produces a change in momentum of 27,940 kg*m/s.

To calculate the magnitude of the force, we can use the formula F = Δp/Δt, where F is the force, Δp is the change in momentum, and Δt is the time it takes for the change in momentum to occur. In this case, the force would be F = (27,940 kg*m/s)/(66.0 s) = 423.03 N. Therefore, the magnitude of the force applied to the auto is 423.03 N.
 

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