Question

understanding momentum
momentum is a key concept in physics that helps us understand how objects move and interact.
momentum is the product of an objects mass and its velocity, and it includes both a value
(magnitude) and a direction. this means momentum is a vector quantity, also known as linear
momentum. the more mass or speed an object has, the more momentum it has. when a force
acts on an object for a certain amount of time, this is called impulse. impulse changes an
objects momentum. in real - life situations, such as car collisions, momentum and impulse
explain how forces and motion change depending on mass, speed, and time.
fill in the blank: fill in the blank with the correct words.

1. momentum is the product of an objects ____________ and velocity.
2. if you double the mass or velocity of an object, you ____________ its momentum.
3. the equation for momentum is ____________ = mass × velocity.
4. the quantity of force × time interval is known as ____________.
5. in a collision, the longer the time of impact, the ____________ the force experienced.

word bank:
impulse, increase, mass, smaller, p

Explanation:

1. The text states "Momentum is the product of an object's mass and its velocity".
2. Since momentum \(p = m\times v\), if \(m\) or \(v\) doubles (assuming the other is constant), \(p\) increases.
3. The standard symbol for momentum in physics is \(p\), so \(p=\text{mass}\times\text{velocity}\).
4. The definition given in the text: "When a force acts on an object for a certain amount of time, this is called impulse". Mathematically, \(J = F\times\Delta t\).
5. From the impulse - momentum theorem \(J=\Delta p = F\times\Delta t\). If \(\Delta p\) (change in momentum) is constant (e.g., in a collision with a fixed change in velocity for an object of fixed mass), \(F=\frac{\Delta p}{\Delta t}\). So, when \(\Delta t\) (time of impact) is longer, \(F\) (force) is smaller.

Answer:

1. mass
2. increase
3. \(p\)
4. impulse
5. smaller