Help with Momentum: Change in Momentum & Force Magnitude

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The change in momentum produced by the force on a 620-kg auto, which accelerates from +11.0 m/s to +48.0 m/s over 66.0 seconds, is calculated as 27,940 kg*m/s using the formula Δp = mΔv. The magnitude of the force applied is determined using F = Δp/Δt, resulting in a force of 423.03 N. This indicates that a constant force of 423.03 N is required to achieve the specified change in velocity. The calculations demonstrate the relationship between mass, velocity change, and force in physics. Understanding these principles is essential for analyzing motion and forces in automotive contexts.
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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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