Part e a small toy cart equipped with a spring bumper rolls toward a wall with a speed of v. the cart rebounds from the wall, wi
th the same speed v. the sketch below shows the initial velocity vector v⃗ i, final velocity vector v⃗ f, and the initial momentum vector p⃗ i. using the initial momentum vector as a basis, draw the change in momentum vector δp⃗ for the cart. you can obtain each vector's length and orientation by clicking on it to select it.
1 answer:
Answer:
Δp = -2 p₀
Explanation:
Momentum is defined as
p = m v
In this instance, we denote the initial and final momentum, with positive direction considered towards the wall.
p₀ = m v
p_f = m (-v)
The negative sign indicates the car is rebounding off the wall.
The change in momentum is expressed as
Δp = p_f - p₀
Δp = - m v - m v
Δp = -2 mv
Δp = -2 p₀
This shows that the change in momentum equals twice the initial momentum; the vectors demonstrating these changes can be seen in the attachment, and the sign signifies the direction of this change.
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