Help with Momentum: Change in Momentum & Force Magnitude

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In summary, momentum is a measure of an object's motion and is calculated by multiplying its mass by its velocity. Change in momentum is the difference between an object's initial and final momentum, calculated as final momentum minus initial momentum. The equation for calculating change in momentum is ∆p = m∆v. Force is directly related to change in momentum, as stated by Newton's Second Law of Motion. To determine the force magnitude needed to produce a certain change in momentum, the equation F = ∆p/∆t can be used, where F is force, ∆p is change in momentum, and ∆t is the time interval over which the change in momentum occurs.
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badboyben03
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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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Look up for the formulae and show what u come after if there is any doubt quote it
 
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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.
 

FAQ: Help with Momentum: Change in Momentum & Force Magnitude

What is momentum?

Momentum is a measure of an object's motion and is equal to its mass multiplied by its velocity.

What is change in momentum?

Change in momentum is the difference between an object's initial momentum and its final momentum. It is calculated as final momentum minus initial momentum.

What is the equation for calculating change in momentum?

The equation for calculating change in momentum is ∆p = m∆v, where ∆p is change in momentum, m is mass, and ∆v is change in velocity.

What is the relationship between force and change in momentum?

According to Newton's Second Law of Motion, force is equal to the rate of change of an object's momentum. Therefore, an increase in force will result in a greater change in momentum.

How do you calculate the force magnitude required to produce a certain change in momentum?

The force magnitude required to produce a certain change in momentum can be calculated using the equation F = ∆p/∆t, where F is force, ∆p is change in momentum, and ∆t is the time interval over which the change in momentum occurs.

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