Question

chapter 8 key equations (page 272)
write the following equations according to the textbook.
write the equation for impulse-momentum theorem and define all the variables.
△p= fnet △t
write the equation for linear momentum and define all the variables.
p = m v
momentum mass velocity
write the equation for law of conservation of momentum and define all the variables.

Explanation:

The Impulse - Momentum Theorem states that the change in momentum ($\Delta p$) of an object is equal to the net force ($F_{net}$) applied to it multiplied by the time interval ($\Delta t$) over which the force is applied. Linear momentum ($p$) is defined as the product of an object's mass ($m$) and its velocity ($v$). The Law of Conservation of Momentum states that the total momentum of an isolated system of objects remains constant. For a system of two objects with initial momenta $p_{1i}$ and $p_{2i}$ and final momenta $p_{1f}$ and $p_{2f}$, the equation is $p_{1i}+p_{2i}=p_{1f}+p_{2f}$.

Answer:

• Impulse - Momentum Theorem: $\Delta p = F_{net}\Delta t$, where $\Delta p$ is the change in momentum, $F_{net}$ is the net force, and $\Delta t$ is the time interval.
• Linear Momentum: $p = mv$, where $p$ is linear momentum, $m$ is mass, and $v$ is velocity.
• Law of Conservation of Momentum: $p_{1i}+p_{2i}=p_{1f}+p_{2f}$, where $p_{1i}$ and $p_{2i}$ are the initial momenta of objects 1 and 2, and $p_{1f}$ and $p_{2f}$ are the final momenta of objects 1 and 2.