If the mass of a cart full of groceries decreases to half and, at the same time, its speed doubles, the momentum of the cart?
To calculate the momentum of the cart, we need to know its mass and velocity.
Let's assume the initial mass of the cart full of groceries is "m" and its initial speed is "v".
1. To find the initial momentum (p1) of the cart, we use the formula:
p1 = m * v
2. If the mass of the cart decreases to half, it becomes "m/2".
The speed of the cart doubles, so it becomes "2v".
3. To find the final momentum (p2) of the cart, we use the formula:
p2 = (m/2) * (2v)
= mv
As we can see, the final momentum of the cart (p2) is equal to the initial momentum (p1). Therefore, the momentum of the cart remains the same.