Calculating the change of momentum in a system

In summary, the change in momentum of the ball is -4 kg-m/s, indicating a decrease in momentum as it rebounds. It is important to remember that momentum is a vector quantity and must be treated as such when considering changes in direction.
  • #1
cheetogrease
1
0

Homework Statement



A ball with momentum of 10 kg-m/s [E] hits an object and rebounds with momentum of 6 kg-m/s [W]. What was the change in momentum?

Homework Equations



delta p=p(final)-p(initial)

The Attempt at a Solution



delta p=p(final)-p(initial)
delta p=(6 kg-m/s)-(10 kg-m/s)
delta p= -4 kg-m/s

This problem seems so simple, and yet it's in the middle of a worksheet full of really hard problems, so I just wanted to make sure I'm doing it right.
 
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  • #2
I am assuming that impact is head on i.e. there are no angles involved.

Do not forget that momentum is a VECTOR.
Hence if to the RHS one takes it as positive, it must be taken as negative when it reverses direction.
 

FAQ: Calculating the change of momentum in a system

How do you calculate the change of momentum in a system?

The change of momentum in a system can be calculated by subtracting the initial momentum from the final momentum. This can be represented by the equation Δp = pf - pi, where Δp is the change in momentum, pf is the final momentum, and pi is the initial momentum.

What is the unit of measurement for momentum?

Momentum is typically measured in kilogram-meters per second (kg⋅m/s) in the SI system. In other systems, it may also be measured in gram-centimeters per second (g⋅cm/s) or pound-feet per second (lb⋅ft/s).

Can momentum be negative?

Yes, momentum can be negative if the direction of the object's motion is opposite to the chosen direction of positive momentum. This is typically represented by a negative sign in the momentum equation.

How does the mass of an object affect its momentum?

The mass of an object has a direct relationship with its momentum. The greater the mass, the greater the momentum. This means that an object with a larger mass will require more force to change its momentum compared to an object with a smaller mass.

What is the principle of conservation of momentum?

The principle of conservation of momentum states that in a closed system, the total momentum before and after a collision remains the same. This means that the total momentum of all objects in the system is conserved, even if individual objects experience a change in momentum.

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